Details

sample196.0ms

Algorithm

intervals

Results

49.0ms	446×	body	80	valid
11.0ms	446×	pre	80	true

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1353
4	359
3	105
2	40
1	16
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

16.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
17.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
115.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series241.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
67.0ms	(* m (- 1.0 m))
53.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2225
1	430
0	155

prune425.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 191

Calls

4 calls:

9.0ms	(/ v (- 1.0 m))
105.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
25.0ms	(/ m (/ v (- 1.0 m)))
373.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series192.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ v (- 1.0 m))
36.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
50.0ms	(/ m (/ v (- 1.0 m)))
41.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify1.6s

Counts

203 → 203

Iterations

Iter	Nodes
done	5001
2	4254
1	804
0	303

prune925.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`associate-l`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-*l/`
10×	`pow1`
9×	`flip3--` `flip--`
8×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `frac-add` `associate-*r/` `distribute-neg-frac`
3×	`pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `sum-log` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`neg-sub0` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `neg-log` `flip-+` `distribute-lft-out`

Counts

4 → 124

Calls

4 calls:

68.0ms	(+ (* (- (* (/ m v) (- 1.0 m)) 1.0) 1.0) (- (* (- (* (/ m v) (- 1.0 m)) 1.0) m)))
34.0ms	(* (/ m v) (- 1.0 m))
23.0ms	(* (/ m v) (- 1.0 m))
87.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

series250.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* (- (* (/ m v) (- 1.0 m)) 1.0) 1.0) (- (* (- (* (/ m v) (- 1.0 m)) 1.0) m)))
68.0ms	(* (/ m v) (- 1.0 m))
50.0ms	(* (/ m v) (- 1.0 m))
51.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

simplify1.7s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	3227
1	564
0	184

prune736.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

722×	`times-frac`
442×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
296×	`add-cube-cbrt`
61×	`difference-of-squares`
49×	`distribute-lft-out--`
38×	`div-inv`
32×	`add-exp-log`
31×	`associate-/r/`
26×	`associate-/r*`
22×	`flip3--` `flip--`
20×	`add-cbrt-cube`
18×	`div-exp`
16×	`associate-/l*`
11×	`associate-l`
9×	`cbrt-undiv`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-r`
4×	`frac-times`
3×	`rec-exp` `sub-neg` `1-exp`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 432

Calls

4 calls:

18.0ms	(/ 1 (- 1.0 m))
255.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
827.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
27.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1 (- 1.0 m))
42.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
57.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
60.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

simplify1.1s

Counts

444 → 444

Iterations

Iter	Nodes
done	5000
1	2222
0	661

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
2	21
1	19
0	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	13900×	body	80	valid
340.0ms	13900×	pre	80	true