Details

sample222.0ms

Algorithm

intervals

Results

43.0ms	421×	body	80	valid
20.0ms	421×	pre	80	true

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	2001
4	469
3	119
2	41
1	19
0	8

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

34.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))
2.0ms	(fma (/ m v) (- 1 m) -1)

series63.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))
28.0ms	(fma (/ m v) (- 1 m) -1)

simplify1.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	2000
4	2000
3	1590
2	618
1	246
0	121

prune563.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `fma-udef`
2×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

16.0ms	(* (- 1 m) (fma (/ m v) (- 1 m) -1))
0.0ms	(fma (/ m v) (- 1 m) -1)

series65.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (- 1 m) (fma (/ m v) (- 1 m) -1))
25.0ms	(fma (/ m v) (- 1 m) -1)

simplify1.4s

Counts

45 → 45

Iterations

Iter	Nodes
done	2044
4	2044
3	1868
2	449
1	162
0	72

prune379.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

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:

31.0ms	(* m (- 1 m))
37.0ms	(- (/ (* m (- 1 m)) v) 1)
107.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
19.0ms	(/ (* m (- 1 m)) v)

series165.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* m (- 1 m))
26.0ms	(- (/ (* m (- 1 m)) v) 1)
41.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
43.0ms	(/ (* m (- 1 m)) v)

simplify1.1s

Counts

194 → 194

Iterations

Iter	Nodes
done	2000
2	2000
1	681
0	269

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

19.0ms	(* v (+ 1 m))
30.0ms	(* m (- (* 1 1) (* m m)))
160.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m))) 1) (- 1 m))
51.0ms	(/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* v (+ 1 m))
83.0ms	(* m (- (* 1 1) (* m m)))
103.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m))) 1) (- 1 m))
78.0ms	(/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m)))

simplify1.3s

Counts

154 → 154

Iterations

Iter	Nodes
done	2005
2	2005
1	742
0	256

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	13650×	body	80	valid
1.0s	13650×	pre	80	true