Details

sample341.0ms

Algorithm

intervals

Results

10.0ms	440×	body	80	valid
6.0ms	440×	pre	80	true

simplify121.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

19.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
70.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series132.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify45.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357
done	5001	357

prune138.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`add-exp-log` `add-cbrt-cube`
21×	`*-un-lft-identity`
18×	`associate-*r/`
17×	`associate-r`
13×	`pow1`
11×	`add-cube-cbrt`
9×	`associate-l`
8×	`frac-times` `prod-exp` `sqrt-prod` `cbrt-unprod` `associate-/l/`
7×	`flip3--` `flip3-+` `flip--` `flip-+`
6×	`associate-*l/`
5×	`pow-prod-down` `difference-of-squares`
4×	`add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `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 → 113

Calls

4 calls:

34.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
60.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
69.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
211.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

series728.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
309.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
234.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
120.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

simplify120.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	783	1409
1	4362	1105
2	5002	1088
done	5002	1088

prune295.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite588.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
59×	`times-frac`
39×	`add-sqr-sqrt`
31×	`add-exp-log` `add-cbrt-cube`
30×	`add-cube-cbrt`
14×	`sqrt-prod` `distribute-lft-out`
12×	`flip3-+` `flip-+` `associate-/l*`
10×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/`
9×	`associate-l` `associate-/l/`
8×	`pow1` `associate-r` `prod-exp` `associate-/r*` `cbrt-unprod`
6×	`div-inv`
4×	`frac-times` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `distribute-lft-out--`

Counts

4 → 150

Calls

4 calls:

33.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
67.0ms	(/ (/ (* (+ 1.0 (- m)) (* m (+ (sqrt 1.0) (sqrt m)))) (+ (sqrt 1.0) (sqrt m))) v)
63.0ms	(/ (* (+ 1.0 (- m)) (* m (+ (sqrt 1.0) (sqrt m)))) (+ (sqrt 1.0) (sqrt m)))
419.0ms	(* (- (/ (/ (* (+ 1.0 (- m)) (* m (+ (sqrt 1.0) (sqrt m)))) (+ (sqrt 1.0) (sqrt m))) v) 1.0) m)

series193.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
44.0ms	(/ (/ (* (+ 1.0 (- m)) (* m (+ (sqrt 1.0) (sqrt m)))) (+ (sqrt 1.0) (sqrt m))) v)
46.0ms	(/ (* (+ 1.0 (- m)) (* m (+ (sqrt 1.0) (sqrt m)))) (+ (sqrt 1.0) (sqrt m)))
42.0ms	(* (- (/ (/ (* (+ 1.0 (- m)) (* m (+ (sqrt 1.0) (sqrt m)))) (+ (sqrt 1.0) (sqrt m))) v) 1.0) m)

simplify139.0ms

Counts

162 → 162

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	761	2347
1	4542	1722
2	5002	1586
done	5002	1586

prune381.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
54×	`times-frac`
44×	`sqrt-prod`
39×	`associate-r`
35×	`add-cube-cbrt`
28×	`difference-of-squares`
22×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-lft-out--`
13×	`pow1`
9×	`associate-/l*`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l*`
5×	`pow-prod-down`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r` `-commutative` `flip-+`
2×	`frac-times` `flip3--` `flip--` `div-inv` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-sub` `clear-num`

Counts

4 → 153

Calls

4 calls:

27.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
33.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
213.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) m)
75.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

series605.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
66.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
121.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) m)
321.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

simplify107.0ms

Counts

165 → 165

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	765	1723
1	4072	1472
2	5001	1442
done	5001	1442

prune316.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14
done	19	14

end0.0ms

sample743.0ms

Algorithm

intervals

Results

299.0ms	13965×	body	80	valid
159.0ms	13965×	pre	80	true