Details

sample140.0ms

Algorithm

intervals

Results

15.0ms	442×	body	80	valid
7.0ms	442×	pre	80	true

simplify8.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4954
9	2413
8	1377
7	866
6	573
5	353
4	164
3	65
2	32
1	16
0	8

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
29.0ms	(/ (* m (- 1.0 m)) v)
181.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series240.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* m (- 1.0 m))
65.0ms	(/ (* m (- 1.0 m)) v)
73.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify8.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	4876
2	1229
1	437
0	180

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite570.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

31.0ms	(* m (- 1.0 m))
23.0ms	(/ v (* m (- 1.0 m)))
443.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
61.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* m (- 1.0 m))
95.0ms	(/ v (* m (- 1.0 m)))
128.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
68.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify3.9s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	1911
1	660
0	285

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* 1.0 m) v) (/ m (/ v m)))
0.1b	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
0.2b	(/ m (/ v m))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

675×	`times-frac`
395×	`add-sqr-sqrt`
389×	`*-un-lft-identity`
382×	`add-cube-cbrt`
308×	`prod-diff`
78×	`div-inv`
13×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r/`
7×	`fma-neg`
6×	`associate-l`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-r` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`flip3--` `associate-*l/` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

3 → 434

Calls

3 calls:

87.0ms	(- (/ (* 1.0 m) v) (/ m (/ v m)))
1.6s	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
31.0ms	(/ m (/ v m))

series160.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (/ (* 1.0 m) v) (/ m (/ v m)))
67.0ms	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
46.0ms	(/ m (/ v m))

simplify3.3s

Counts

443 → 443

Iterations

Iter	Nodes
done	5000
1	1825
0	712

prune6.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
189.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
206.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series341.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
124.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
75.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify3.9s

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
2	1853
1	586
0	226

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes560.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

694.0ms	13687×	body	80	valid
411.0ms	13687×	pre	80	true