Details

sample328.0ms

Algorithm

intervals

Results

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

simplify129.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	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)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 95

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series132.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify58.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505
done	5001	505

prune158.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)

rewrite441.0ms

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:

32.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
75.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
76.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
247.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

series740.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
314.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
237.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
121.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

simplify47.0ms

Counts

205 → 205

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1109	3598
1	5001	2739
done	5001	2739

prune406.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite627.0ms

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×	`expm1-log1p-u` `frac-times` `associate-*l/` `log1p-expm1-u` `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 → 158

Calls

4 calls:

33.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
74.0ms	(/ (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (+ 1.0 (- m))) (+ (sqrt 1.0) (sqrt m))) v)
68.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (+ 1.0 (- m))) (+ (sqrt 1.0) (sqrt m)))
445.0ms	(* (- (/ (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (+ 1.0 (- m))) (+ (sqrt 1.0) (sqrt m))) v) 1.0) m)

series191.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
42.0ms	(/ (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (+ 1.0 (- m))) (+ (sqrt 1.0) (sqrt m))) v)
45.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (+ 1.0 (- m))) (+ (sqrt 1.0) (sqrt m)))
41.0ms	(* (- (/ (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (+ 1.0 (- m))) (+ (sqrt 1.0) (sqrt m))) v) 1.0) m)

simplify149.0ms

Counts

170 → 170

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	790	2424
1	4869	2006
2	5001	2006
done	5001	2006

prune423.0ms

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))

rewrite357.0ms

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×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `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 → 161

Calls

4 calls:

32.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
32.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
211.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) m)
74.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

series616.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
66.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
122.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) m)
328.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

simplify107.0ms

Counts

173 → 173

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	797	1793
1	4150	1572
2	5001	1552
done	5001	1552

prune367.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes78.0ms

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

sample778.0ms

Algorithm

intervals

Results

312.0ms	13965×	body	80	valid
163.0ms	13965×	pre	80	true