Details

sample134.0ms

Algorithm

intervals

Results

30.0ms	407×	body	80	valid
17.0ms	407×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	2382
4	369
3	90
2	35
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l` `add-cube-cbrt`
9×	`associate-r`
8×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `difference-of-sqr-1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

16.0ms	(- (/ (* m (- 1 m)) v) 1)
30.0ms	(* m (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
104.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series191.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ (* m (- 1 m)) v) 1)
66.0ms	(* m (- 1 m))
63.0ms	(/ (* m (- 1 m)) v)
41.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
3	4603
2	1119
1	371
0	143

prune482.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ m (/ v m)) (+ (/ m (/ v (* m m))) m))
0.1b	(/ m (/ v (* m m)))
0.2b	(/ m (/ v m))
11.0b	(/ v (* m m))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
73×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
21×	`associate-/r*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*` `add-log-exp`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `difference-of-squares`
2×	`diff-log` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `distribute-lft-out--`
1×	`sum-log` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+`

Counts

4 → 164

Calls

4 calls:

50.0ms	(- (/ m (/ v m)) (+ (/ m (/ v (* m m))) m))
13.0ms	(/ m (/ v (* m m)))
6.0ms	(/ m (/ v m))
7.0ms	(/ v (* m m))

series104.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ m (/ v m)) (+ (/ m (/ v (* m m))) m))
24.0ms	(/ m (/ v (* m m)))
20.0ms	(/ m (/ v m))
25.0ms	(/ v (* m m))

simplify2.1s

Counts

176 → 176

Iterations

Iter	Nodes
done	5118
2	2909
1	750
0	269

prune704.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ m (/ v m)) (+ (/ m (/ (/ v m) m)) m))
0.1b	(/ m (/ (/ v m) m))
0.2b	(/ m (/ v m))
0.2b	(/ (/ v m) m)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

546×	`times-frac`
281×	`add-sqr-sqrt`
278×	`*-un-lft-identity`
272×	`add-cube-cbrt`
59×	`associate-/r*`
28×	`div-inv`
23×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/l*`
12×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
5×	`associate-/r/`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `distribute-lft-out--` `difference-of-squares`
2×	`diff-log` `frac-sub`
1×	`sum-log` `sub-neg` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `flip3--` `distribute-rgt-out--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `associate-/l/`

Counts

4 → 359

Calls

4 calls:

76.0ms	(- (/ m (/ v m)) (+ (/ m (/ (/ v m) m)) m))
8.0ms	(/ m (/ (/ v m) m))
6.0ms	(/ m (/ v m))
8.0ms	(/ (/ v m) m)

series150.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ m (/ v m)) (+ (/ m (/ (/ v m) m)) m))
39.0ms	(/ m (/ (/ v m) m))
41.0ms	(/ m (/ v m))
39.0ms	(/ (/ v m) m)

simplify2.2s

Counts

371 → 371

Iterations

Iter	Nodes
done	5000
1	1498
0	560

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
13×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-l`
6×	`pow1`
5×	`div-inv`
4×	`associate-*l/` `frac-sub` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `flip3-+` `div-exp` `associate-r` `flip-+` `distribute-lft-out` `associate-/l*`
2×	`sum-log` `flip3--` `diff-log` `flip--`
1×	`+-commutative` `clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

14.0ms	(+ 1 (/ m (/ v m)))
48.0ms	(- (/ m v) (+ 1 (/ m (/ v m))))
137.0ms	(* (- (/ m v) (+ 1 (/ m (/ v m)))) m)
11.0ms	(/ m (/ v m))

series154.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 1 (/ m (/ v m)))
36.0ms	(- (/ m v) (+ 1 (/ m (/ v m))))
49.0ms	(* (- (/ m v) (+ 1 (/ m (/ v m)))) m)
36.0ms	(/ m (/ v m))

simplify2.2s

Counts

144 → 144

Iterations

Iter	Nodes
done	5002
2	2005
1	621
0	232

prune623.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	13528×	body	80	valid
984.0ms	13528×	pre	80	true