Details

sample328.0ms

Algorithm

intervals

Results

11.0ms	459×	body	80	valid
6.0ms	459×	pre	80	true

simplify121.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 85

Calls

4 calls:

20.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
20.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series155.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465
done	5002	465

prune174.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
0.0b	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
0.1b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) m)

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
43×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
10×	`associate-/r/`
9×	`associate-l`
8×	`pow1`
7×	`cbrt-undiv` `div-exp` `associate-r` `associate-/r*`
6×	`div-inv` `distribute-lft-out`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/` `difference-of-squares`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`distribute-lft-out--`

Counts

4 → 135

Calls

4 calls:

28.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
25.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
27.0ms	(* m (- (* 1.0 1.0) (* m m)))
211.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) m)

series328.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
74.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
68.0ms	(* m (- (* 1.0 1.0) (* m m)))
66.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) m)

simplify96.0ms

Counts

147 → 147

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	628	1395
1	3300	1220
2	5003	1220
done	5003	1220

prune317.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
21×	`add-sqr-sqrt` `associate-r`
20×	`add-cbrt-cube`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`prod-exp`
13×	`pow1`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-r/` `associate-l*`
6×	`add-log-exp`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`div-exp` `associate-*l/`
3×	`sub-neg` `*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `distribute-lft-in` `1-exp` `unswap-sqr`
1×	`diff-log` `un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

36.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
20.0ms	(* m (- 1.0 m))
132.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
40.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series150.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
44.0ms	(* m (- 1.0 m))
39.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
38.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify62.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	457	681
1	2382	590
2	5002	569
done	5002	569

prune188.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
0.1b	(* (- (/ 1 (/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))) 1.0) m)
0.2b	(/ 1 (/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))))

rewrite504.0ms

Algorithm

rewrite-expression-head

Rules

325×	`times-frac`
168×	`*-un-lft-identity`
149×	`add-sqr-sqrt`
131×	`add-cube-cbrt`
51×	`add-exp-log`
45×	`associate-/r*`
38×	`associate-/r/`
31×	`add-cbrt-cube`
28×	`div-exp`
23×	`div-inv`
16×	`flip3-+` `flip-+` `distribute-lft-out`
14×	`cbrt-undiv`
13×	`associate-l`
9×	`pow1`
7×	`associate-r`
6×	`prod-exp` `associate-/l*` `difference-of-squares`
4×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 284

Calls

4 calls:

26.0ms	(* m (- (* 1.0 1.0) (* m m)))
19.0ms	(/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
408.0ms	(* (- (/ 1 (/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))) 1.0) m)
36.0ms	(/ 1 (/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (- (* 1.0 1.0) (* m m)))
78.0ms	(/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
89.0ms	(* (- (/ 1 (/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))) 1.0) m)
116.0ms	(/ 1 (/ v (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))))

simplify56.0ms

Counts

296 → 296

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1108	3699
1	5001	3037
done	5001	3037

prune466.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample747.0ms

Algorithm

intervals

Results

289.0ms	13618×	body	80	valid
166.0ms	13618×	pre	80	true