Details

sample150.0ms

Algorithm

intervals

Results

21.0ms	420×	body	80	valid
10.0ms	420×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
10	4809
9	2125
8	1197
7	833
6	511
5	320
4	149
3	60
2	32
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

18.0ms	(* m (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)
74.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series212.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* m (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)
77.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1061
1	332
0	126

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

13.0ms	(/ (- 1.0 m) v)
71.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
24.0ms	(* m (/ (- 1.0 m) v))

series182.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- 1.0 m) v)
70.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
63.0ms	(* m (/ (- 1.0 m) v))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1194
1	387
0	149

prune561.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

101.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
5.0ms	(/ m (sqrt v))
13.0ms	(/ (- 1.0 m) (sqrt v))
74.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
63.0ms	(/ m (sqrt v))
77.0ms	(/ (- 1.0 m) (sqrt v))
92.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify2.6s

Counts

212 → 212

Iterations

Iter	Nodes
done	5002
2	2872
1	842
0	289

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m (* m m)) v))
0.1b	(* m (* m m))
0.2b	(/ m (/ v m))
9.8b	(/ (* m (* m m)) v)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
50×	`add-sqr-sqrt`
49×	`*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
16×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
5×	`pow-prod-up`
4×	`associate--l+` `associate-/l*`
3×	`sub-neg` `associate-l` `pow-prod-down`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `associate-*r/` `frac-sub` `flip--`
1×	`pow2` `pow-plus` `diff-log` `cube-unmult` `associate-r` `associate-/r/` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

60.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m (* m m)) v))
25.0ms	(* m (* m m))
14.0ms	(/ m (/ v m))
31.0ms	(/ (* m (* m m)) v)

series190.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m (* m m)) v))
61.0ms	(* m (* m m))
39.0ms	(/ m (/ v m))
25.0ms	(/ (* m (* m m)) v)

simplify1.7s

Counts

147 → 147

Iterations

Iter	Nodes
done	5001
2	2244
1	643
0	246

prune714.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

731.0ms	13616×	body	80	valid
445.0ms	13616×	pre	80	true