Details

sample132.0ms

Algorithm

intervals

Results

23.0ms	427×	body	80	valid
12.0ms	427×	pre	80	true

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	105	13
4	360	13
5	1338	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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) (- 1.0 m))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

41.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(/ (* m (- 1.0 m)) v)
169.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series156.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
60.0ms	(/ (* m (- 1.0 m)) v)
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	137	1328
1	385	1287
2	2083	1197
done	5001	1191

prune263.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

43.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
26.0ms	(/ (* m (- 1.0 m)) v)
23.0ms	(/ (* m (- 1.0 m)) v)
95.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
52.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify1.6s

Counts

118 → 118

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	174	2243
1	559	1991
2	3123	1780
done	5001	1776

prune435.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.1b	(/ (* m (- 1.0 m)) v)
8.2b	(/ (pow m 3) v)
12.2b	(/ (pow m 2) v)

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*` `add-log-exp`
8×	`div-exp` `sqr-pow`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 153

Calls

4 calls:

280.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
21.0ms	(/ (* m (- 1.0 m)) v)
19.0ms	(/ (pow m 3) v)
18.0ms	(/ (pow m 2) v)

series161.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
43.0ms	(/ (* m (- 1.0 m)) v)
23.0ms	(/ (pow m 3) v)
36.0ms	(/ (pow m 2) v)

simplify2.3s

Counts

165 → 165

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	253	2080
1	620	1851
2	3531	1689
done	5002	1685

prune593.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

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) (- 1.0 m))

rewrite614.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 154

Calls

3 calls:

129.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
18.0ms	(/ m (/ v (- 1.0 m)))
456.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series131.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
54.0ms	(/ m (/ v (- 1.0 m)))
49.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify1.8s

Counts

163 → 163

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	279	2817
1	731	2690
2	3931	2562
done	5000	2557

prune602.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	25	29
done	25	29

end0.0ms

sample2.2s

Algorithm

intervals

Results

909.0ms	13572×	pre	80	true
795.0ms	13572×	body	80	valid