Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify144.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	41	9
4	54	9
5	65	9
6	77	9
7	89	9
8	96	9
9	104	9
10	105	9
11	107	9
12	108	9
done	108	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

48.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify1.3s

Counts

63 → 63

Iterations

Useful iterations: 3 (441.0ms)

Iter	Nodes	Cost
0	114	1010
1	284	965
2	745	923
3	2060	921
done	5000	921

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)))

rewrite176.0ms

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--` `flip--` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 230

Calls

2 calls:

86.0ms	(/ (- 2.0 (+ x y)) (- x y))
67.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series200.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(/ (- 2.0 (+ x y)) (- x y))
72.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify2.8s

Counts

236 → 236

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	272	4670
1	642	4030
2	1536	3703
3	4669	3611
done	5000	3611

prune288.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

1308×	`times-frac`
977×	`*-un-lft-identity`
767×	`add-sqr-sqrt`
469×	`add-cube-cbrt`
219×	`distribute-lft-out--`
149×	`difference-of-squares`
99×	`associate-/r/`
70×	`distribute-lft-out`
51×	`add-exp-log`
50×	`div-inv`
49×	`flip3--` `flip--`
36×	`div-exp`
32×	`associate-/r*`
30×	`associate-/l*`
19×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/l/`

Counts

3 → 673

Calls

3 calls:

17.0ms	(/ 1 (- x y))
43.0ms	(/ 1 (- 2.0 (+ x y)))
86.0ms	(/ (/ 1 (- 2.0 (+ x y))) (/ 1 (- x y)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ 1 (- x y))
55.0ms	(/ 1 (- 2.0 (+ x y)))
68.0ms	(/ (/ 1 (- 2.0 (+ x y))) (/ 1 (- x y)))

simplify2.0s

Counts

682 → 682

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	753	18735
1	2113	14146
2	3966	12846
done	5000	12845

prune532.0ms

Pruning

3 alts after pruning (1 fresh and 2 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)))
28.1b	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite207.0ms

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×	`expm1-log1p-u` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `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 → 145

Calls

3 calls:

41.0ms	(* (+ x y) (+ x y))
128.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
33.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series212.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* (+ x y) (+ x y))
105.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
91.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify2.0s

Counts

154 → 154

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	237	3174
1	822	3023
2	3637	2782
done	5002	2646

prune451.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample446.0ms

Algorithm

intervals

Results

214.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid