Details

sample114.0ms

Algorithm

intervals

Results

18.0ms	426×	body	80	valid
10.0ms	426×	pre	80	true

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	65	11
4	165	11
5	315	11
6	389	11
7	422	11
8	510	11
9	709	11
10	1021	11
11	1550	11
12	3427	11
done	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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)

rewrite253.0ms

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:

45.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
122.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series250.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
67.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify3.8s

Counts

97 → 97

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	138	1137
1	331	1097
2	1008	981
3	4418	951
done	5000	939

prune256.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

25.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
33.0ms	(/ (- 1.0 m) v)
101.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
36.0ms	(* m (/ (- 1.0 m) v))

series195.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
45.0ms	(/ (- 1.0 m) v)
55.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
53.0ms	(* m (/ (- 1.0 m) v))

simplify2.9s

Counts

120 → 120

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	160	1426
1	383	1358
2	1081	1236
3	3554	1206
done	5000	1206

prune334.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

42.0ms	(* m (- 1.0 m))
24.0ms	(/ v (* m (- 1.0 m)))
334.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
33.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* m (- 1.0 m))
82.0ms	(/ v (* m (- 1.0 m)))
56.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
74.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.7s

Counts

150 → 150

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	228	2016
1	509	1824
2	1385	1558
done	5001	1512

prune802.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt v) (- 1.0 m))
0.1b	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
0.3b	(/ m (sqrt v))
0.4b	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

2217×	`times-frac`
1245×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
912×	`add-cube-cbrt`
714×	`sqrt-prod`
155×	`difference-of-squares`
146×	`distribute-lft-out--`
63×	`div-inv`
49×	`associate-/r/`
47×	`associate-/r*`
31×	`associate-/l*`
25×	`flip3--` `flip--`
22×	`add-exp-log` `add-cbrt-cube`
14×	`associate-l`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 995

Calls

4 calls:

16.0ms	(/ (sqrt v) (- 1.0 m))
2.2s	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
7.0ms	(/ m (sqrt v))
79.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (sqrt v) (- 1.0 m))
62.0ms	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
53.0ms	(/ m (sqrt v))
63.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

simplify2.0s

Counts

1007 → 1007

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	1106	26606
1	3130	23541
done	5000	22931

prune2.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

726.0ms	13690×	body	80	valid
338.0ms	13690×	pre	80	true