Details

sample281.0ms

Algorithm

intervals

Results

11.0ms	461×	body	80	valid
6.0ms	461×	pre	80	true

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	68	11
4	160	11
5	290	11
6	467	11
7	598	11
8	923	11
9	1630	11
10	2313	11
11	3126	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

16.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
16.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series154.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify995.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	223	2378
1	512	1926
2	2214	1587
done	5001	1587

prune248.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
0.1b	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
11.9b	(/ (pow m 2) v)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`times-frac`
23×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*` `add-log-exp`
7×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-r/` `prod-diff` `associate-l/` `frac-sub` `unpow2` `sqr-pow`
3×	`expm1-log1p-u` `div-exp` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `flip--` `flip-+`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `fma-neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `associate--r+` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

39.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
106.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
4.0ms	(/ (pow m 2) v)

series80.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
35.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
19.0ms	(/ (pow m 2) v)

simplify755.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	188	1798
1	444	1608
2	1828	1429
done	5001	1429

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

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--` `flip--` `div-inv`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`rec-exp` `1-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

11.0ms	(* m (- 1.0 m))
5.0ms	(/ v (* m (- 1.0 m)))
117.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
11.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
43.0ms	(/ v (* m (- 1.0 m)))
47.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
47.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.4s

Counts

176 → 176

Iterations

Useful iterations: 2 (236.0ms)

Iter	Nodes	Cost
0	281	2584
1	627	2255
2	2838	1826
done	5000	1826

prune264.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
0.3b	(/ (sqrt v) m)
0.3b	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
0.4b	(* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
81×	`times-frac`
68×	`*-un-lft-identity`
64×	`add-exp-log`
53×	`add-cube-cbrt`
42×	`sqrt-prod`
39×	`associate-r`
38×	`add-cbrt-cube`
28×	`associate-l`
27×	`div-exp`
17×	`prod-exp`
14×	`cbrt-undiv`
11×	`pow1`
10×	`unswap-sqr`
9×	`cbrt-unprod` `associate-/l*`
8×	`distribute-lft-out--`
7×	`difference-of-squares`
5×	`rec-exp` `1-exp` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `associate-l/` `associate-/r` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`frac-times` `flip3--` `pow-flip` `frac-2neg` `associate-r/` `clear-num` `-commutative` `flip--`
1×	`inv-pow`

Counts

4 → 200

Calls

4 calls:

106.0ms	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
3.0ms	(/ (sqrt v) m)
20.0ms	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
36.0ms	(* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
61.0ms	(/ (sqrt v) m)
47.0ms	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
50.0ms	(* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))

simplify1.7s

Counts

212 → 212

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	333	3324
1	948	2635
2	4005	2366
done	5001	2360

prune390.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	14	15
done	14	15

end0.0ms

sample715.0ms

Algorithm

intervals

Results

321.0ms	13714×	body	80	valid
175.0ms	13714×	pre	80	true