Details

sample209.0ms

Algorithm

intervals

Results

113.0ms	416×	body	80	valid
22.0ms	416×	pre	80	true

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	851
3	131
2	37
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma (/ m v) (- 1 m) -1)
14.0ms	(* m (fma (/ m v) (- 1 m) -1))

series108.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma (/ m v) (- 1 m) -1)
77.0ms	(* m (fma (/ m v) (- 1 m) -1))

simplify2.9s

Counts

40 → 40

Iterations

Iter	Nodes
done	5002
3	3655
2	500
1	124
0	56

prune202.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ m v) (fma (/ m v) m 1))
0.1b	(fma (/ m v) m 1)
0.2b	(* m (- (/ m v) (fma (/ m v) m 1)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
117×	`prod-diff`
114×	`add-cube-cbrt`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
6×	`associate-r`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `fma-udef` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

3 → 190

Calls

3 calls:

25.0ms	(- (/ m v) (fma (/ m v) m 1))
0.0ms	(fma (/ m v) m 1)
41.0ms	(* m (- (/ m v) (fma (/ m v) m 1)))

series104.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (/ m v) (fma (/ m v) m 1))
32.0ms	(fma (/ m v) m 1)
50.0ms	(* m (- (/ m v) (fma (/ m v) m 1)))

simplify2.0s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
2	2140
1	526
0	243

prune895.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ m v) m) (fma (* (/ m v) m) m m))
0.1b	(fma (* (/ m v) m) m m)
0.2b	(* (/ m v) m)
0.2b	(* (/ m v) m)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-l`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`prod-diff`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `associate--r+`

Counts

4 → 101

Calls

4 calls:

20.0ms	(- (* (/ m v) m) (fma (* (/ m v) m) m m))
0.0ms	(fma (* (/ m v) m) m m)
10.0ms	(* (/ m v) m)
10.0ms	(* (/ m v) m)

series174.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* (/ m v) m) (fma (* (/ m v) m) m m))
51.0ms	(fma (* (/ m v) m) m m)
33.0ms	(* (/ m v) m)
34.0ms	(* (/ m v) m)

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1477
1	269
0	118

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ m v) m)
0.2b	(* (/ (sqrt m) v) m)
0.2b	(* (/ (sqrt m) 1) (* (/ (sqrt m) v) m))
0.3b	(/ (sqrt m) v)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
66×	`times-frac`
57×	`associate-l`
54×	`*-un-lft-identity` `add-cube-cbrt`
46×	`add-exp-log`
37×	`add-cbrt-cube`
31×	`sqrt-prod`
19×	`prod-exp`
14×	`cbrt-unprod`
13×	`pow1`
12×	`div-exp`
8×	`cbrt-undiv`
7×	`associate-r`
6×	`associate-/l*`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-/r` `1-exp` `-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/`

Counts

4 → 176

Calls

4 calls:

20.0ms	(* (/ m v) m)
23.0ms	(* (/ (sqrt m) v) m)
29.0ms	(* (/ (sqrt m) 1) (* (/ (sqrt m) v) m))
10.0ms	(/ (sqrt m) v)

series251.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ m v) m)
78.0ms	(* (/ (sqrt m) v) m)
44.0ms	(* (/ (sqrt m) 1) (* (/ (sqrt m) v) m))
88.0ms	(/ (sqrt m) v)

simplify2.5s

Counts

188 → 188

Iterations

Iter	Nodes
done	5002
2	4667
1	711
0	249

prune844.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	13735×	body	80	valid
1.0s	13735×	pre	80	true