Details

sample168.0ms

Algorithm

intervals

Results

67.0ms	441×	body	80	valid
18.0ms	441×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
9	2834
8	1992
7	1401
6	1013
5	567
4	221
3	70
2	33
1	17
0	8

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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) m)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
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 → 151

Calls

4 calls:

25.0ms	(- (/ (* m (- 1 m)) v) 1)
16.0ms	(* m (- 1 m))
18.0ms	(/ (* m (- 1 m)) v)
96.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series174.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ (* m (- 1 m)) v) 1)
57.0ms	(* m (- 1 m))
41.0ms	(/ (* m (- 1 m)) v)
47.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify8.3s

Counts

163 → 163

Iterations

Iter	Nodes
3	4229
2	1196
1	499
0	227

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
48×	`times-frac`
40×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`prod-diff`
17×	`associate-l`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
10×	`associate-/r*`
9×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`cbrt-undiv` `flip3--` `div-inv` `flip--`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `distribute-lft-out--`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 175

Calls

4 calls:

23.0ms	(* m (- 1 m))
10.0ms	(/ v (* m (- 1 m)))
208.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
21.0ms	(/ 1 (/ v (* m (- 1 m))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* m (- 1 m))
47.0ms	(/ v (* m (- 1 m)))
52.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
65.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify16.6s

Counts

187 → 187

Iterations

Iter	Nodes
3	5679
2	1598
1	611
0	280

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (/ (- 1 m) v) m -1)
0.2b	(* (sqrt m) (fma (/ (- 1 m) v) m -1))
0.4b	(* (* (sqrt m) (fma (/ (- 1 m) v) m -1)) (sqrt m))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `sqrt-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma (/ (- 1 m) v) m -1)
7.0ms	(* (sqrt m) (fma (/ (- 1 m) v) m -1))
23.0ms	(* (* (sqrt m) (fma (/ (- 1 m) v) m -1)) (sqrt m))

series200.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (/ (- 1 m) v) m -1)
106.0ms	(* (sqrt m) (fma (/ (- 1 m) v) m -1))
57.0ms	(* (* (sqrt m) (fma (/ (- 1 m) v) m -1)) (sqrt m))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
3	2157
2	706
1	248
0	101

prune673.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1)) (cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1)))
0.3b	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))
0.3b	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))
0.3b	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))

rewrite399.0ms

Algorithm

rewrite-expression-head

Rules

144×	`add-sqr-sqrt`
126×	`cbrt-prod`
104×	`*-un-lft-identity`
50×	`times-frac`
48×	`difference-of-squares`
29×	`swap-sqr`
27×	`difference-of-sqr-1`
22×	`distribute-lft-out--`
18×	`cbrt-div`
17×	`associate-r` `associate-l`
15×	`add-cube-cbrt`
11×	`pow1` `div-inv`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 177

Calls

4 calls:

260.0ms	(* (cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1)) (cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1)))
42.0ms	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))
42.0ms	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))
48.0ms	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))

series2.4s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1)) (cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1)))
718.0ms	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))
673.0ms	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))
719.0ms	(cbrt (- (/ 1 (/ v (* m (- 1 m)))) 1))

simplify2.8s

Counts

189 → 189

Iterations

Iter	Nodes
4	4560
3	1507
2	622
1	310
0	161

prune2.1s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	13819×	body	80	valid
666.0ms	13819×	pre	80	true