Details

sample135.0ms

Algorithm

intervals

Results

35.0ms	463×	body	80	valid
17.0ms	463×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2003
4	362
3	92
2	35
1	19
0	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

26.0ms	(* m (- 1 m))
19.0ms	(/ (* m (- 1 m)) v)
91.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series176.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* m (- 1 m))
70.0ms	(/ (* m (- 1 m)) v)
44.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify2.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
3	4172
2	1090
1	428
0	180

prune408.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (/ m v) m (- (fma (/ m v) (* m m) m)))
0.2b	(fma (/ m v) (* m m) m)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma (/ m v) m (- (fma (/ m v) (* m m) m)))
0.0ms	(fma (/ m v) (* m m) m)

series74.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma (/ m v) m (- (fma (/ m v) (* m m) m)))
30.0ms	(fma (/ m v) (* m m) m)

simplify3.0s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
4	3054
3	563
2	155
1	61
0	37

prune137.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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)
0.2b	(/ 1 (/ v (* m (- 1 m))))

rewrite259.0ms

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:

27.0ms	(* m (- 1 m))
19.0ms	(/ v (* m (- 1 m)))
190.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
21.0ms	(/ 1 (/ v (* m (- 1 m))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* m (- 1 m))
32.0ms	(/ v (* m (- 1 m)))
38.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
62.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify2.0s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
2	1648
1	651
0	280

prune581.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.1b	(/ 1 (* m (- 1 m)))
0.1b	(* (- (/ (/ 1 v) (/ 1 (* m (- 1 m)))) 1) m)
0.4b	(/ (/ 1 v) (/ 1 (* m (- 1 m))))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
155×	`add-sqr-sqrt`
132×	`*-un-lft-identity`
120×	`add-cube-cbrt`
102×	`add-exp-log`
62×	`div-exp`
34×	`add-cbrt-cube`
32×	`associate-*r/`
31×	`associate-/r/`
26×	`div-inv`
19×	`associate-l`
18×	`prod-diff`
17×	`rec-exp` `flip3--` `1-exp` `prod-exp` `flip--`
16×	`associate-/l*`
15×	`cbrt-undiv`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in`
10×	`associate-/r*` `difference-of-squares`
9×	`associate-r`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-l/` `-commutative` `pow-flip` `distribute-lft-out--` `unswap-sqr`
1×	`inv-pow` `associate-/l/`

Counts

4 → 305

Calls

4 calls:

30.0ms	(* m (- 1 m))
15.0ms	(/ 1 (* m (- 1 m)))
243.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1 m)))) 1) m)
25.0ms	(/ (/ 1 v) (/ 1 (* m (- 1 m))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* m (- 1 m))
32.0ms	(/ 1 (* m (- 1 m)))
42.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1 m)))) 1) m)
79.0ms	(/ (/ 1 v) (/ 1 (* m (- 1 m))))

simplify2.7s

Counts

317 → 317

Iterations

Iter	Nodes
done	5000
2	2808
1	1279
0	478

prune842.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13708×	body	80	valid
642.0ms	13708×	pre	80	true