Details

sample414.0ms

Algorithm

intervals

Results

46.0ms	453×	pre	80	true
32.0ms	453×	body	80	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	4477
6	1331
5	417
4	171
3	67
2	34
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 85

Calls

4 calls:

26.0ms	(* m (- 1.0 m))
20.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
15.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series239.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* m (- 1.0 m))
43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
69.0ms	(/ (* m (- 1.0 m)) v)
58.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1733
1	360
0	138

prune516.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

409.0ms	(- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0)
33.0ms	(- (/ (* 1.0 m) v) (/ m (/ v m)))
1.1s	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
15.0ms	(/ m (/ v m))

series160.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0)
56.0ms	(- (/ (* 1.0 m) v) (/ m (/ v m)))
53.0ms	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
26.0ms	(/ m (/ v m))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	3251
1	593
0	233

prune782.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite499.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

113.0ms	(- (- (/ (* 1.0 m) v) (* (/ m v) m)) 1.0)
29.0ms	(- (/ (* 1.0 m) v) (* (/ m v) m))
332.0ms	(* (- (- (/ (* 1.0 m) v) (* (/ m v) m)) 1.0) m)
20.0ms	(* (/ m v) m)

series160.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (- (/ (* 1.0 m) v) (* (/ m v) m)) 1.0)
49.0ms	(- (/ (* 1.0 m) v) (* (/ m v) m))
42.0ms	(* (- (- (/ (* 1.0 m) v) (* (/ m v) m)) 1.0) m)
34.0ms	(* (/ m v) m)

simplify1.7s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	2011
1	367
0	144

prune491.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
0.2b	(/ m (/ v m))
2.1b	(/ (* m m) (/ v m))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

109×	`times-frac`
69×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
60×	`add-cube-cbrt`
26×	`associate-/r*`
21×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
8×	`div-inv` `add-log-exp`
4×	`pow1` `sub-neg` `associate--l+` `associate-/l*`
3×	`flip3--` `associate-/r/` `flip--` `difference-of-squares`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `diff-log` `prod-exp` `associate-*r/` `frac-sub` `cbrt-unprod`
1×	`distribute-rgt-out--` `distribute-lft-out--`

Counts

4 → 151

Calls

4 calls:

80.0ms	(- (/ m (/ v m)) m)
48.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
8.0ms	(/ m (/ v m))
14.0ms	(/ (* m m) (/ v m))

series164.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ m (/ v m)) m)
48.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
36.0ms	(/ m (/ v m))
48.0ms	(/ (* m m) (/ v m))

simplify881.0ms

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
1	721
0	248

prune914.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13750×	body	80	valid
389.0ms	13750×	pre	80	true