Details

sample252.0ms

Algorithm

intervals

Results

31.0ms	443×	body	80	valid
16.0ms	443×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4269
5	937
4	310
3	98
2	38
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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))

rewrite127.0ms

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:

18.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
16.0ms	(* m (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series222.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
60.0ms	(* m (- 1.0 m))
51.0ms	(/ (* m (- 1.0 m)) v)
74.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5004
2	1586
1	430
0	155

prune573.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

47.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
24.0ms	(/ (* m (- 1.0 m)) v)
24.0ms	(/ (* m (- 1.0 m)) v)
110.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series241.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
67.0ms	(/ (* m (- 1.0 m)) v)
68.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify2.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5009
2	2333
1	559
0	174

prune775.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* m (* m m))
8.2b	(/ (* m (* m m)) v)
13.1b	(/ (* (* m m) 1.0) v)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-/r*` `times-frac`
8×	`cbrt-undiv` `div-exp`
5×	`pow-prod-up`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `div-inv` `associate-/l*`
2×	`associate-*r/` `associate-/l/`
1×	`pow2` `pow-plus` `flip3--` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

24.0ms	(/ (* m (- 1.0 m)) v)
26.0ms	(* m (* m m))
32.0ms	(/ (* m (* m m)) v)
33.0ms	(/ (* (* m m) 1.0) v)

series205.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (* m (- 1.0 m)) v)
58.0ms	(* m (* m m))
25.0ms	(/ (* m (* m m)) v)
53.0ms	(/ (* (* m m) 1.0) v)

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1639
1	441
0	151

prune577.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(/ m (/ v (* m m)))
12.8b	(/ v (* m m))
13.1b	(/ (* (* m m) 1.0) v)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
12×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
2×	`associate-*r/` `associate-/l/`
1×	`flip3--` `associate-/r/` `flip--`

Counts

4 → 115

Calls

4 calls:

13.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ m (/ v (* m m)))
6.0ms	(/ v (* m m))
23.0ms	(/ (* (* m m) 1.0) v)

series132.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (* m (- 1.0 m)) v)
33.0ms	(/ m (/ v (* m m)))
27.0ms	(/ v (* m m))
27.0ms	(/ (* (* m m) 1.0) v)

simplify1.5s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	2228
1	559
0	193

prune909.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	13719×	body	80	valid
320.0ms	13719×	pre	80	true