Details

sample139.0ms

Algorithm

intervals

Results

25.0ms	427×	body	80	valid
12.0ms	427×	pre	80	true

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	67	11
4	171	11
5	418	11
6	1361	11
7	4731	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
29.0ms	(/ (* m (- 1.0 m)) v)
135.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series171.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
73.0ms	(/ (* m (- 1.0 m)) v)
64.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.0s

Counts

68 → 68

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	114	920
1	302	887
2	1535	801
done	5000	797

prune181.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite668.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
107×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
63×	`add-cube-cbrt`
21×	`associate-/r*`
18×	`difference-of-squares`
14×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--`
5×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-/l*`
2×	`associate-*l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 142

Calls

3 calls:

171.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
36.0ms	(/ m (/ v (- 1.0 m)))
451.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series149.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
49.0ms	(/ m (/ v (- 1.0 m)))
70.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify2.2s

Counts

151 → 151

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	261	2405
1	663	2286
2	3445	2162
done	5001	2159

prune582.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
0.4b	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
32.0ms	(/ (* m (- 1.0 m)) v)
110.0ms	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
151.0ms	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

series277.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
57.0ms	(/ (* m (- 1.0 m)) v)
122.0ms	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
58.0ms	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	163	1599
1	460	1531
2	2373	1309
done	5000	1289

prune330.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt m))
0.2b	(* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
0.4b	(* (* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))) (sqrt m))
0.4b	(* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)))

rewrite687.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
25×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`associate-r`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg`
4×	`sqrt-pow1` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `associate-*l/`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

5.0ms	(sqrt (sqrt m))
103.0ms	(* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
441.0ms	(* (* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))) (sqrt m))
129.0ms	(* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)))

series576.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(sqrt (sqrt m))
146.0ms	(* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
65.0ms	(* (* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))) (sqrt m))
143.0ms	(* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)))

simplify2.5s

Counts

125 → 125

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	195	2433
1	568	2326
2	3037	1728
done	5000	1647

prune332.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

0% (0.1b 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	8	11
1	9	11
done	9	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

688.0ms	13572×	pre	80	true
543.0ms	13572×	body	80	valid