Details

sample313.0ms

Algorithm

intervals

Results

64.0ms	463×	body	80	valid
29.0ms	463×	pre	80	true

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2121
4	469
3	119
2	41
1	19
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

110×	`add-sqr-sqrt`
82×	`*-un-lft-identity`
59×	`add-cube-cbrt`
51×	`times-frac`
36×	`associate-r` `prod-diff`
28×	`associate-l`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`difference-of-squares`
15×	`associate-/l*`
12×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
8×	`flip3--` `flip--`
7×	`pow1` `distribute-lft-out--`
6×	`associate-r/` `-commutative`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `difference-of-sqr-1` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

3 → 194

Calls

3 calls:

35.0ms	(* m (- 1 m))
876.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
116.0ms	(/ (* m (- 1 m)) v)

series210.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* m (- 1 m))
60.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
71.0ms	(/ (* m (- 1 m)) v)

simplify2.4s

Counts

203 → 203

Iterations

Iter	Nodes
done	5002
2	2383
1	795
0	308

prune633.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite816.0ms

Algorithm

rewrite-expression-head

Rules

162×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
90×	`add-cube-cbrt`
63×	`prod-diff`
54×	`times-frac`
34×	`associate-l`
31×	`difference-of-squares`
30×	`associate-r`
25×	`distribute-rgt-out--`
22×	`distribute-lft-out--`
17×	`associate-/l*`
14×	`swap-sqr` `*-commutative`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`unswap-sqr`
8×	`flip3--` `flip--`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`frac-times`
3×	`expm1-log1p-u` `associate-/r*` `sub-neg` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`difference-of-sqr-1` `associate-l/` `associate-r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`

Counts

3 → 227

Calls

3 calls:

34.0ms	(- m (* m m))
707.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
67.0ms	(/ (- m (* m m)) v)

series174.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- m (* m m))
51.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
48.0ms	(/ (- m (* m m)) v)

simplify4.4s

Counts

236 → 236

Iterations

Iter	Nodes
done	5000
2	2943
1	972
0	363

prune611.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.2s

Algorithm

rewrite-expression-head

Rules

469×	`add-sqr-sqrt`
343×	`*-un-lft-identity`
271×	`times-frac`
241×	`add-cube-cbrt`
167×	`associate-+l+`
165×	`prod-diff`
105×	`difference-of-squares`
85×	`distribute-rgt-out--`
77×	`associate-l`
76×	`distribute-lft-out--`
61×	`associate-r`
38×	`*-commutative`
34×	`associate-/l*`
18×	`distribute-lft-out` `unswap-sqr`
17×	`swap-sqr`
12×	`difference-of-sqr-1`
10×	`fma-def` `add-cbrt-cube` `add-exp-log`
9×	`add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1` `associate-/r` `associate-l/`
5×	`div-inv`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `div-sub` `distribute-rgt-neg-out`
2×	`cbrt-undiv` `clear-num` `sum-log` `frac-2neg` `distribute-rgt-out` `div-exp` `associate-+l-`
1×	`associate--l-` `+-commutative` `neg-mul-1` `sub-neg` `flip3-+` `diff-log` `unsub-neg` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 437

Calls

4 calls:

2.2s	(+ (- (/ (- m (* m m)) v) 1) (* (- (/ (- m (* m m)) v) 1) (- m)))
62.0ms	(/ (- m (* m m)) v)
95.0ms	(/ (- m (* m m)) v)
793.0ms	(* (- (/ (- m (* m m)) v) 1) (- m))

series231.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (- (/ (- m (* m m)) v) 1) (* (- (/ (- m (* m m)) v) 1) (- m)))
61.0ms	(/ (- m (* m m)) v)
71.0ms	(/ (- m (* m m)) v)
42.0ms	(* (- (/ (- m (* m m)) v) 1) (- m))

simplify3.0s

Counts

449 → 449

Iterations

Iter	Nodes
done	5000
2	2475
1	787
0	282

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite747.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-sqr-sqrt`
171×	`times-frac`
154×	`*-un-lft-identity`
95×	`add-cube-cbrt`
42×	`difference-of-squares`
36×	`associate-/r*`
22×	`associate-/r/`
19×	`distribute-lft-out--`
18×	`prod-diff`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--`
9×	`associate-/l*`
6×	`associate-r` `div-inv`
5×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 236

Calls

3 calls:

18.0ms	(/ v (- 1 m))
692.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
21.0ms	(/ m (/ v (- 1 m)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ v (- 1 m))
40.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
36.0ms	(/ m (/ v (- 1 m)))

simplify3.5s

Counts

245 → 245

Iterations

Iter	Nodes
done	5000
2	3311
1	992
0	383

prune863.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	21
3	21
2	20
1	16
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	13708×	body	80	valid
1.0s	13708×	pre	80	true