Details

sample237.0ms

Algorithm

intervals

Results

112.0ms	416×	body	80	valid
23.0ms	416×	pre	80	true

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	923
3	148
2	43
1	19
0	8

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
57×	`prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
12×	`associate-r`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`expm1-def` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 182

Calls

4 calls:

27.0ms	(- (/ (* m (- 1 m)) v) 1)
15.0ms	(* m (- 1 m))
29.0ms	(/ (* m (- 1 m)) v)
104.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series183.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ (* m (- 1 m)) v) 1)
57.0ms	(* m (- 1 m))
53.0ms	(/ (* m (- 1 m)) v)
46.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify3.6s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	4753
1	700
0	269

prune694.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

129×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
85×	`add-cube-cbrt`
81×	`times-frac`
78×	`prod-diff`
27×	`difference-of-squares`
22×	`fma-neg`
17×	`distribute-rgt-out--`
11×	`distribute-rgt-in` `distribute-lft-in` `add-exp-log`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-r`
5×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `distribute-lft-out--`
2×	`expm1-def` `diff-log` `div-sub` `div-exp` `associate-l/` `associate-r/` `associate-/l/`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 226

Calls

4 calls:

39.0ms	(- (/ (- m (* m m)) v) 1)
5.0ms	(- m (* m m))
12.0ms	(/ (- m (* m m)) v)
139.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))

series208.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ (- m (* m m)) v) 1)
63.0ms	(- m (* m m))
71.0ms	(/ (- m (* m m)) v)
44.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))

simplify3.0s

Counts

238 → 238

Iterations

Iter	Nodes
done	5000
2	4538
1	800
0	314

prune893.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v)
0.0b	(* m (+ 1 (sqrt m)))
0.1b	(* (- (/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v) 1) (- 1 m))
0.1b	(* (* m (+ 1 (sqrt m))) (- 1 (sqrt m)))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
54×	`prod-diff`
47×	`add-cube-cbrt`
32×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
20×	`associate-r` `associate-*r/`
13×	`pow1`
12×	`frac-times` `flip3--` `flip--`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod` `difference-of-squares` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative`
2×	`distribute-lft-out` `unswap-sqr`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 194

Calls

4 calls:

38.0ms	(/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v)
30.0ms	(* m (+ 1 (sqrt m)))
227.0ms	(* (- (/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v) 1) (- 1 m))
59.0ms	(* (* m (+ 1 (sqrt m))) (- 1 (sqrt m)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v)
67.0ms	(* m (+ 1 (sqrt m)))
71.0ms	(* (- (/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v) 1) (- 1 m))
219.0ms	(* (* m (+ 1 (sqrt m))) (- 1 (sqrt m)))

simplify1.2s

Counts

206 → 206

Iterations

Iter	Nodes
done	5000
1	1189
0	377

prune934.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1 m)) v) 1)
0.0b	(/ (* m (- 1 m)) v)
0.1b	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
0.1b	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
57×	`prod-diff`
48×	`add-cube-cbrt`
32×	`frac-times`
23×	`flip3--` `flip--`
22×	`add-exp-log` `sqrt-prod`
21×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cbrt-cube` `associate-*l/`
15×	`times-frac`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
8×	`associate-l` `difference-of-squares`
7×	`fma-neg`
6×	`prod-exp` `add-log-exp`
5×	`cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `div-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`expm1-def` `associate-/r*` `sub-neg`
2×	`cbrt-undiv` `difference-of-sqr-1` `*-commutative` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*` `unswap-sqr`

Counts

4 → 206

Calls

4 calls:

37.0ms	(- (/ (* m (- 1 m)) v) 1)
31.0ms	(/ (* m (- 1 m)) v)
104.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
75.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ (* m (- 1 m)) v) 1)
52.0ms	(/ (* m (- 1 m)) v)
109.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
122.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

simplify1.5s

Counts

218 → 218

Iterations

Iter	Nodes
done	5001
1	1171
0	349

prune986.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	13735×	body	80	valid
989.0ms	13735×	pre	80	true