Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify167.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

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:

46.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify1.5s

Counts

63 → 63

Iterations

Useful iterations: 3 (526.0ms)

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

prune174.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite536.0ms

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:

36.0ms	(/ x (- 2.0 (+ x y)))
33.0ms	(/ y (- 2.0 (+ x y)))
386.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series183.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ x (- 2.0 (+ x y)))
54.0ms	(/ y (- 2.0 (+ x y)))
80.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify2.4s

Counts

731 → 731

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	580	44551
1	1296	39894
2	2845	30752
done	5000	22997

prune803.0ms

Pruning

4 alts after pruning (3 fresh and 1 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 (/ 1 (- 2.0 (+ x y)))))
0.2b	(* y (/ 1 (- 2.0 (+ x y))))

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

111×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
74×	`times-frac`
45×	`add-cube-cbrt`
26×	`distribute-lft-out--`
24×	`fma-neg` `associate-r` `prod-diff`
14×	`add-exp-log`
13×	`distribute-lft-out` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`associate-/r/`
6×	`associate-/r*`
5×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
4×	`prod-exp`
3×	`expm1-log1p-u` `associate-r/` `div-exp` `associate-l` `un-div-inv` `log1p-expm1-u` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-sub` `cbrt-unprod` `sub-div`
1×	`sub-neg` `rec-exp` `distribute-rgt-out--` `frac-2neg` `diff-log` `1-exp` `pow-prod-down` `clear-num` `*-commutative`

Counts

3 → 159

Calls

3 calls:

49.0ms	(/ x (- 2.0 (+ x y)))
278.0ms	(- (/ x (- 2.0 (+ x y))) (* y (/ 1 (- 2.0 (+ x y)))))
116.0ms	(* y (/ 1 (- 2.0 (+ x y))))

series238.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ x (- 2.0 (+ x y)))
96.0ms	(- (/ x (- 2.0 (+ x y))) (* y (/ 1 (- 2.0 (+ x y)))))
76.0ms	(* y (/ 1 (- 2.0 (+ x y))))

simplify2.7s

Counts

168 → 168

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	222	3015
1	541	2564
2	1326	2334
3	3834	2176
done	5001	2156

prune419.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
3.0b	(log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

1322×	`*-un-lft-identity`
928×	`times-frac`
825×	`add-sqr-sqrt`
576×	`prod-diff`
507×	`add-cube-cbrt`
327×	`distribute-lft-out--`
157×	`distribute-lft-out` `difference-of-squares`
104×	`associate-/r/`
53×	`flip3--` `flip--`
52×	`div-inv`
24×	`fma-neg`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`expm1-log1p-u`
4×	`pow1` `log1p-expm1-u`
3×	`distribute-rgt-out--` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `log1p-udef` `expm1-log1p` `frac-2neg` `diff-log` `log1p-expm1` `div-exp` `clear-num` `frac-sub` `expm1-udef` `sub-div`

Counts

4 → 701

Calls

4 calls:

0.0ms	(expm1 (log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
46.0ms	(/ y (- 2.0 (+ x y)))
314.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
1.0ms	(log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(expm1 (log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
67.0ms	(/ y (- 2.0 (+ x y)))
82.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
162.0ms	(log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

simplify2.3s

Counts

713 → 713

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	624	44623
1	1406	39965
2	3176	30754
done	5000	29563

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

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)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample667.0ms

Algorithm

intervals

Results

392.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid