Details

sample145.0ms

Algorithm

intervals

Results

27.0ms	448×	body	80	valid
13.0ms	448×	pre	80	true

simplify9.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	70	11
4	183	11
5	363	11
6	533	11
7	613	11
8	732	11
9	1024	11
10	1463	11
11	2141	11
12	4183	11
done	5001	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite247.0ms

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:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
27.0ms	(* m (- 1.0 m))
34.0ms	(/ (* m (- 1.0 m)) v)
133.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series210.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
64.0ms	(* m (- 1.0 m))
56.0ms	(/ (* m (- 1.0 m)) v)
52.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.8s

Counts

151 → 151

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	223	2378
1	489	1926
2	1285	1632
done	5000	1544

prune322.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite623.0ms

Algorithm

rewrite-expression-head

Rules

565×	`times-frac`
479×	`add-sqr-sqrt`
463×	`*-un-lft-identity`
327×	`add-cube-cbrt`
210×	`prod-diff`
72×	`difference-of-squares`
70×	`fma-neg`
68×	`distribute-lft-out--`
31×	`div-inv`
13×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `associate-/r/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `associate-r` `flip--` `log1p-expm1-u`
2×	`div-sub` `associate-*l/` `associate-/l/`
1×	`associate--l-` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 428

Calls

3 calls:

138.0ms	(- (/ (- 1.0 m) (/ v m)) 1.0)
387.0ms	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
33.0ms	(/ (- 1.0 m) (/ v m))

series136.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (/ (- 1.0 m) (/ v m)) 1.0)
51.0ms	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
50.0ms	(/ (- 1.0 m) (/ v m))

simplify2.2s

Counts

437 → 437

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	438	10555
1	1094	8281
2	3091	7386
done	5000	7140

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

36.0ms	(/ (- 1.0 m) v)
14.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series156.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- 1.0 m) v)
56.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)
59.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify2.1s

Counts

79 → 79

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	123	1017
1	268	917
2	692	822
3	2004	822
done	5001	810

prune292.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite655.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-prod`
73×	`add-sqr-sqrt`
72×	`prod-diff`
69×	`*-un-lft-identity`
59×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
17×	`associate-r`
13×	`pow1`
9×	`associate-l`
8×	`frac-times` `prod-exp` `cbrt-unprod` `associate-/l/`
7×	`flip3--` `flip3-+` `flip--` `flip-+`
6×	`associate-*l/`
5×	`pow-prod-down` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative` `distribute-lft-out--`
2×	`sub-neg` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 193

Calls

4 calls:

89.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
95.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
57.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
402.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

series1.1s

Counts

4 → 12

Calls

4 calls:

452.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
394.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
102.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
165.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

simplify2.7s

Counts

205 → 205

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	385	6120
1	1077	4442
2	4039	3410
done	5000	3396

prune452.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	13	11
done	13	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

717.0ms	13645×	body	80	valid
438.0ms	13645×	pre	80	true