Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify159.0ms

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

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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:

42.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: 3 (560.0ms)

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

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite511.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 722

Calls

3 calls:

38.0ms	(/ x (- 2.0 (+ x y)))
318.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
30.0ms	(/ y (- 2.0 (+ x y)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ x (- 2.0 (+ x y)))
106.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
78.0ms	(/ y (- 2.0 (+ x y)))

simplify2.5s

Counts

731 → 731

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	580	44551
1	1296	39894
2	2839	30752
done	5000	22997

prune807.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

121×	`*-un-lft-identity`
78×	`times-frac`
76×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
41×	`distribute-lft-out--`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
15×	`difference-of-squares`
13×	`associate-/l*`
12×	`associate-/r*`
9×	`add-exp-log`
7×	`neg-mul-1` `add-cbrt-cube`
4×	`pow1` `associate-/r/` `distribute-lft-out`
3×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`
1×	`neg-sub0` `rec-exp` `pow-flip` `1-exp` `div-sub` `distribute-frac-neg` `fma-udef` `inv-pow`

Counts

3 → 151

Calls

3 calls:

49.0ms	(/ 1 (- 2.0 (+ x y)))
55.0ms	(/ (- y) (- (- 2.0 x) y))
0.0ms	(fma x (/ 1 (- 2.0 (+ x y))) (/ (- y) (- (- 2.0 x) y)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ 1 (- 2.0 (+ x y)))
65.0ms	(/ (- y) (- (- 2.0 x) y))
94.0ms	(fma x (/ 1 (- 2.0 (+ x y))) (/ (- y) (- (- 2.0 x) y)))

simplify1.9s

Counts

160 → 160

Iterations

Useful iterations: 3 (992.0ms)

Iter	Nodes	Cost
0	234	2269
1	484	2089
2	1162	1975
3	3304	1969
done	5000	1969

prune454.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y) (- (- 2.0 x) y))
0.0b	(* (+ x y) (+ x y))
0.1b	(fma (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)) (/ (- y) (- (- 2.0 x) y)))
14.8b	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
72×	`times-frac`
49×	`add-cube-cbrt`
33×	`distribute-lft-out--`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
15×	`difference-of-squares`
13×	`associate-/l*`
11×	`pow1`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
7×	`neg-mul-1`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-r` `associate-l` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `associate-r/` `div-exp` `associate-l/` `clear-num` `flip--` `div-inv`
1×	`pow2` `neg-sub0` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-sub` `distribute-frac-neg` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 181

Calls

4 calls:

40.0ms	(/ (- y) (- (- 2.0 x) y))
34.0ms	(* (+ x y) (+ x y))
0.0ms	(fma (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)) (/ (- y) (- (- 2.0 x) y)))
19.0ms	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (- y) (- (- 2.0 x) y))
20.0ms	(* (+ x y) (+ x y))
120.0ms	(fma (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)) (/ (- y) (- (- 2.0 x) y)))
412.0ms	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify1.7s

Counts

193 → 193

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	292	3104
1	671	2904
2	2105	2723
done	5000	2715

prune449.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	9	15
done	9	15

end0.0ms

sample610.0ms

Algorithm

intervals

Results

360.0ms	7998×	body	80	valid
0.0ms	2×	body	1280	valid