Details

sample232.0ms

Algorithm

intervals

Results

58.0ms	463×	body	80	valid
26.0ms	463×	pre	80	true

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2121
4	469
3	119
2	41
1	19
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

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:

16.0ms	(* m (- 1 m))
94.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
26.0ms	(/ (* m (- 1 m)) v)

series180.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* m (- 1 m))
60.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
44.0ms	(/ (* m (- 1 m)) v)

simplify1.8s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	1674
1	588
0	226

prune344.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

11.0ms	(- m (* m m))
108.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
19.0ms	(/ (- m (* m m)) v)

series169.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- m (* m m))
32.0ms	(* (- (/ (- m (* m m)) v) 1) (- 1 m))
65.0ms	(/ (- m (* m m)) v)

simplify1.9s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	1699
1	593
0	232

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
167×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
93×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
18×	`prod-diff` `distribute-lft-out--`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-/r/` `flip--`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 225

Calls

3 calls:

15.0ms	(/ v (- 1 m))
206.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
26.0ms	(/ m (/ v (- 1 m)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ v (- 1 m))
33.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
63.0ms	(/ m (/ v (- 1 m)))

simplify3.3s

Counts

234 → 234

Iterations

Iter	Nodes
done	5000
2	3385
1	977
0	376

prune922.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

2565×	`times-frac`
2171×	`add-sqr-sqrt`
2153×	`*-un-lft-identity`
1590×	`add-cube-cbrt`
1386×	`prod-diff`
699×	`distribute-rgt-in` `distribute-lft-in`
466×	`associate-+l+` `associate-+r+`
378×	`difference-of-squares`
187×	`distribute-lft-out--`
144×	`associate-/r/`
82×	`div-inv`
67×	`flip3--` `flip--`
48×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
10×	`associate-l` `associate-*r/`
6×	`pow1` `cbrt-undiv` `sub-neg` `div-exp` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `difference-of-sqr-1`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 1695

Calls

4 calls:

125.0ms	(+ (* 1 (- (/ m (/ v (- 1 m))) 1)) (* (- m) (- (/ m (/ v (- 1 m))) 1)))
10.0ms	(/ m (/ v (- 1 m)))
10.0ms	(/ m (/ v (- 1 m)))
136.0ms	(* (- m) (- (/ m (/ v (- 1 m))) 1))

series213.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* 1 (- (/ m (/ v (- 1 m))) 1)) (* (- m) (- (/ m (/ v (- 1 m))) 1)))
68.0ms	(/ m (/ v (- 1 m)))
43.0ms	(/ m (/ v (- 1 m)))
46.0ms	(* (- m) (- (/ m (/ v (- 1 m))) 1))

simplify7.9s

Counts

1707 → 1707

Iterations

Iter	Nodes
done	5002
1	4323
0	1409

prune8.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	13708×	body	80	valid
996.0ms	13708×	pre	80	true