Details

sample212.0ms

Algorithm

intervals

Results

53.0ms	466×	body	80	valid
26.0ms	466×	pre	80	true

simplify1.3s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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) (- 1 m))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 132

Calls

3 calls:

30.0ms	(* m (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
123.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series182.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* m (- 1 m))
37.0ms	(/ (* m (- 1 m)) v)
65.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.6s

Counts

141 → 141

Iterations

Iter	Nodes
done	2017
3	2017
2	1620
1	571
0	226

prune573.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

40.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))
1.0ms	(fma (/ m v) (- 1 m) -1)

series84.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))
33.0ms	(fma (/ m v) (- 1 m) -1)

simplify1.5s

Counts

65 → 65

Iterations

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

prune306.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

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

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

522×	`times-frac`
472×	`add-sqr-sqrt`
417×	`*-un-lft-identity`
314×	`add-cube-cbrt`
282×	`prod-diff`
90×	`difference-of-sqr--1`
47×	`distribute-lft-out`
29×	`div-inv`
13×	`associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-l` `frac-sub` `add-log-exp` `difference-of-squares`
7×	`associate-/r/`
6×	`fma-neg` `associate-r`
5×	`pow1` `distribute-lft-out--`
4×	`flip3-+` `associate-*l/` `flip-+`
3×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`diff-log` `associate-*r/`
1×	`clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 432

Calls

3 calls:

121.0ms	(- (+ (/ m v) -1) (/ m (/ v m)))
290.0ms	(* (- (+ (/ m v) -1) (/ m (/ v m))) (- 1 m))
12.0ms	(/ m (/ v m))

series126.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (+ (/ m v) -1) (/ m (/ v m)))
53.0ms	(* (- (+ (/ m v) -1) (/ m (/ v m))) (- 1 m))
36.0ms	(/ m (/ v m))

simplify2.2s

Counts

441 → 441

Iterations

Iter	Nodes
done	2000
2	2000
1	1949
0	723

prune2.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

0.0ms	(fma (/ m v) (- 1 m) -1)
0.0ms	(fma (/ m v) (- 1 m) -1)
0.0ms	(fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1))
47.0ms	(* (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma (/ m v) (- 1 m) -1)
27.0ms	(fma (/ m v) (- 1 m) -1)
119.0ms	(fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1))
141.0ms	(* (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))

simplify1.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	2004
3	2004
2	888
1	333
0	174

prune550.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	13755×	body	80	valid
711.0ms	13755×	pre	80	true