Details

sample62.0ms

Algorithm

intervals

Results

31.0ms	453×	body	80	valid
10.0ms	453×	pre	80	true

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	62	11
4	140	11
5	222	11
6	295	11
7	334	11
8	438	11
9	794	11
10	1091	11
11	1637	11
12	3713	11
done	5000	11

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series39.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.6s

Counts

97 → 97

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	138	1137
1	332	1097
2	1019	987
3	4620	951
done	5000	951

prune142.0ms

Filtered

66 candidates to 97 candidates (-47.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

15.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
8.0ms	(/ (- 1.0 m) (sqrt v))
5.0ms	(/ m (sqrt v))
25.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
6.0ms	(/ (- 1.0 m) (sqrt v))
8.0ms	(/ m (sqrt v))
9.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify1.2s

Counts

212 → 212

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	278	3029
1	757	2808
2	2599	2510
done	5001	2460

prune217.0ms

Filtered

136 candidates to 212 candidates (-55.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	212	9	221

Merged error: 0.0b

Counts

221 → 9

localize10.0ms

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))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
18.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
11.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: 2 (310.0ms)

Iter	Nodes	Cost
0	196	1553
1	509	1407
2	1638	1241
done	5000	1241

prune139.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	6	6
Picked	0	1	1
Done	1	1	2
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
63×	`sqrt-prod`
40×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
23×	`associate-l`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`pow1`
9×	`unswap-sqr`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
5×	`associate-*l/`
4×	`pow-prod-down` `div-inv` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 203

Calls

4 calls:

7.0ms	(/ (- 1.0 m) (sqrt v))
5.0ms	(/ m (sqrt v))
21.0ms	(* (* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (sqrt m)) (sqrt m))
25.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- 1.0 m) (sqrt v))
7.0ms	(/ m (sqrt v))
14.0ms	(* (* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (sqrt m)) (sqrt m))
9.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify1.4s

Counts

215 → 215

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	295	3197
1	820	2886
2	2835	2544
done	5000	2494

prune205.0ms

Filtered

136 candidates to 215 candidates (-58.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	215	9	224

Merged error: 0.0b

Counts

224 → 9

regimes180.0ms

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	8	11
1	10	11
done	10	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

451.0ms	13714×	body	80	valid
254.0ms	13714×	pre	80	true

Details

sample62.0ms

simplify4.2s

prune4.0ms

localize10.0ms

rewrite42.0ms

series39.0ms

simplify2.6s

prune142.0ms

localize9.0ms

rewrite67.0ms

series35.0ms

simplify1.2s

prune217.0ms

localize10.0ms

rewrite50.0ms

series35.0ms

simplify1.1s

prune139.0ms

localize12.0ms

rewrite69.0ms

series36.0ms

simplify1.4s

prune205.0ms

regimes180.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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