Details

sample106.0ms

Algorithm

intervals

Results

19.0ms

266×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	132	12
4	198	12
5	238	12
6	274	12
7	294	12
8	334	12
9	407	12
10	528	12
11	1310	12
done	5000	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.6b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

67.0ms	(* (+ t1 u) (+ t1 u))
51.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (+ t1 u) (+ t1 u))
123.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	113	1078
1	365	990
2	1712	834
done	5000	831

prune188.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.6b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

12.0ms	(/ v (+ t1 u))
25.0ms	(/ (- t1) (+ t1 u))
102.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ v (+ t1 u))
61.0ms	(/ (- t1) (+ t1 u))
182.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.5s

Counts

201 → 201

Iterations

Useful iterations: 2 (406.0ms)

Iter	Nodes	Cost
0	213	2501
1	579	2385
2	1816	2231
done	5001	2231

prune628.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.2b	(* (- t1) (/ 1 (+ t1 u)))
1.6b	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
54×	`add-exp-log`
50×	`times-frac`
48×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `un-div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`neg-mul-1` `pow-flip` `inv-pow`

Counts

4 → 170

Calls

4 calls:

24.0ms	(/ v (+ t1 u))
22.0ms	(/ 1 (+ t1 u))
46.0ms	(* (- t1) (/ 1 (+ t1 u)))
115.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ v (+ t1 u))
37.0ms	(/ 1 (+ t1 u))
48.0ms	(* (- t1) (/ 1 (+ t1 u)))
204.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify1.6s

Counts

182 → 182

Iterations

Useful iterations: 2 (470.0ms)

Iter	Nodes	Cost
0	189	2175
1	508	1809
2	1926	1539
done	5000	1539

prune376.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.1b	(/ (/ v (+ t1 u)) (+ u t1))
9.9b	(* (- t1) (/ (/ v (+ t1 u)) (+ u t1)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
261×	`*-un-lft-identity`
134×	`add-sqr-sqrt`
125×	`add-cube-cbrt`
78×	`associate-r`
68×	`distribute-lft-out`
24×	`associate-/r/`
21×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+` `div-inv`
10×	`associate-l`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-mul-1` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 252

Calls

3 calls:

11.0ms	(/ v (+ t1 u))
44.0ms	(/ (/ v (+ t1 u)) (+ u t1))
82.0ms	(* (- t1) (/ (/ v (+ t1 u)) (+ u t1)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ v (+ t1 u))
83.0ms	(/ (/ v (+ t1 u)) (+ u t1))
129.0ms	(* (- t1) (/ (/ v (+ t1 u)) (+ u t1)))

simplify1.7s

Counts

261 → 261

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	275	4090
1	781	3754
2	2576	3530
done	5000	3442

prune721.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	12	12
2	16	12
3	19	12
4	21	12
done	21	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

969.0ms

8272×

body

valid