Details

sample122.0ms

Algorithm

intervals

Results

19.0ms	460×	body	80	valid
10.0ms	460×	pre	80	true

simplify6.2s

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

prune6.0ms

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

rewrite219.0ms

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:

37.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
146.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series189.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* m (- 1.0 m))
60.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify3.5s

Counts

80 → 80

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	126	882
1	307	845
2	969	747
3	4338	735
done	5001	723

prune235.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite532.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 163

Calls

3 calls:

15.0ms	(/ v (- 1.0 m))
28.0ms	(/ m (/ v (- 1.0 m)))
481.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series152.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ v (- 1.0 m))
50.0ms	(/ m (/ v (- 1.0 m)))
60.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify1.6s

Counts

172 → 172

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	271	2534
1	590	2377
2	2061	2267
done	5000	2250

prune606.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.2b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
11.6b	(/ (pow m 2) v)

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*`
7×	`add-cbrt-cube`
5×	`pow1` `associate-l` `unpow2` `add-log-exp`
4×	`sqr-pow`
3×	`div-exp` `associate-r` `associate-/r*`
2×	`flip3--` `associate-r/` `associate-l/` `flip--`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `sub-div` `difference-of-squares` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

24.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
492.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
9.0ms	(/ (pow m 2) v)

series139.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
63.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
27.0ms	(/ (pow m 2) v)

simplify2.8s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	159	1318
1	327	1223
2	936	1088
3	3744	1084
done	5001	1084

prune268.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.2b	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
0.3b	(/ (/ v (- 1.0 m)) (sqrt m))
0.3b	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

rewrite3.1s

Algorithm

rewrite-expression-head

Rules

2560×	`times-frac`
1412×	`add-sqr-sqrt`
1368×	`*-un-lft-identity`
1064×	`add-cube-cbrt`
909×	`sqrt-prod`
162×	`difference-of-squares`
152×	`distribute-lft-out--`
141×	`associate-/r*`
101×	`associate-/r/`
59×	`div-inv`
51×	`flip3--` `flip--`
30×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
15×	`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 → 1170

Calls

4 calls:

21.0ms	(/ v (- 1.0 m))
2.7s	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
41.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
57.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ v (- 1.0 m))
70.0ms	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
148.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
111.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

simplify2.5s

Counts

1182 → 1182

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	1238	30290
1	2752	27295
done	5000	26877

prune2.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

774.0ms	13779×	body	80	valid
321.0ms	13779×	pre	80	true