Details

sample350.0ms

Algorithm

intervals

Results

158.0ms	449×	body	80	valid
31.0ms	449×	pre	80	true

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	3419
5	1111
4	331
3	99
2	41
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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) (- 1 m))

rewrite201.0ms

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:

37.0ms	(- (/ (* m (- 1 m)) v) 1)
32.0ms	(* m (- 1 m))
29.0ms	(/ (* m (- 1 m)) v)
96.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series199.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ (* m (- 1 m)) v) 1)
78.0ms	(* m (- 1 m))
55.0ms	(/ (* m (- 1 m)) v)
47.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify3.3s

Counts

194 → 194

Iterations

Iter	Nodes
3	6081
2	1733
1	628
0	269

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

684×	`times-frac`
594×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
391×	`add-cube-cbrt`
249×	`prod-diff`
118×	`difference-of-squares`
77×	`fma-neg`
55×	`distribute-lft-out--`
39×	`associate-/r/`
30×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`div-exp`
6×	`pow1` `difference-of-sqr-1` `associate-r` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `sub-neg`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 561

Calls

4 calls:

85.0ms	(- (/ m (/ v (- 1 m))) 1)
8.0ms	(/ v (- 1 m))
17.0ms	(/ m (/ v (- 1 m)))
178.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

series181.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ m (/ v (- 1 m))) 1)
38.0ms	(/ v (- 1 m))
69.0ms	(/ m (/ v (- 1 m)))
53.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

simplify2.8s

Counts

573 → 573

Iterations

Iter	Nodes
2	4422
1	1430
0	606

prune5.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
7×	`add-cube-cbrt` `fma-udef`
6×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`associate-r`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `sum-log` `fma-def` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 69

Calls

4 calls:

8.0ms	(+ (* (sqrt m) (fma (/ m v) (- 1 m) -1)) (fma (/ m v) (- 1 m) -1))
0.0ms	(fma (/ m v) (- 1 m) -1)
0.0ms	(fma (/ m v) (- 1 m) -1)
8.0ms	(* (sqrt m) (fma (/ m v) (- 1 m) -1))

series345.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (* (sqrt m) (fma (/ m v) (- 1 m) -1)) (fma (/ m v) (- 1 m) -1))
38.0ms	(fma (/ m v) (- 1 m) -1)
35.0ms	(fma (/ m v) (- 1 m) -1)
137.0ms	(* (sqrt m) (fma (/ m v) (- 1 m) -1))

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
3	3319
2	785
1	250
0	99

prune843.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m)))) v)
0.1b	(* (- (/ (/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m)))) v) 1) (- 1 m))
0.1b	(* (* m m) (- (* m m)))
0.8b	(/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m))))

rewrite736.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
106×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
79×	`add-cube-cbrt`
21×	`associate-/l*`
18×	`add-cbrt-cube` `prod-diff` `add-exp-log`
16×	`distribute-lft-out`
14×	`associate-l`
12×	`associate-r`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in`
10×	`associate-/r/`
8×	`difference-of-squares`
7×	`associate-/r*`
6×	`flip3-+` `flip3--` `div-sub` `flip-+` `div-inv` `flip--`
5×	`distribute-rgt-neg-out`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`difference-of-sqr-1` `associate-/l/`
2×	`clear-num` `sub-neg` `frac-2neg` `unsub-neg` `associate-l/` `associate-r/` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 225

Calls

4 calls:

65.0ms	(/ (/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m)))) v)
562.0ms	(* (- (/ (/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m)))) v) 1) (- 1 m))
23.0ms	(* (* m m) (- (* m m)))
82.0ms	(/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m)))) v)
86.0ms	(* (- (/ (/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m)))) v) 1) (- 1 m))
51.0ms	(* (* m m) (- (* m m)))
166.0ms	(/ (+ m (* (* m m) (- (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m))))

simplify1.4s

Counts

237 → 237

Iterations

Iter	Nodes
2	3237
1	1006
0	398

prune2.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	11
1	11
0	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	13662×	body	80	valid
632.0ms	13662×	pre	80	true