Details

sample152.0ms

Algorithm

intervals

Results

44.0ms	449×	body	80	valid
21.0ms	449×	pre	80	true

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
6	3605
5	1007
4	314
3	102
2	41
1	19
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
10×	`associate-l` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `insert-posit16` `distribute-lft-out--`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `difference-of-sqr-1` `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 → 107

Calls

4 calls:

30.0ms	(- (/ (* m (- 1 m)) v) 1)
31.0ms	(* m (- 1 m))
26.0ms	(/ (* m (- 1 m)) v)
81.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series221.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1 m)) v) 1)
63.0ms	(* m (- 1 m))
68.0ms	(/ (* m (- 1 m)) v)
64.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify2.2s

Counts

119 → 119

Iterations

Iter	Nodes
3	4881
2	1241
1	417
0	160

prune986.0ms

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

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
177×	`add-sqr-sqrt`
143×	`*-un-lft-identity`
82×	`add-cube-cbrt`
46×	`difference-of-squares`
30×	`associate-/r*`
19×	`distribute-lft-out--`
13×	`add-cbrt-cube` `associate-l` `add-exp-log`
12×	`flip3--` `flip--`
11×	`associate-/r/`
6×	`pow1` `difference-of-sqr-1` `associate-r` `div-inv` `associate-/l*` `add-log-exp`
4×	`frac-times` `cbrt-undiv` `div-exp` `insert-posit16`
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 → 224

Calls

4 calls:

40.0ms	(- (/ m (/ v (- 1 m))) 1)
8.0ms	(/ v (- 1 m))
11.0ms	(/ m (/ v (- 1 m)))
218.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

series152.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ m (/ v (- 1 m))) 1)
45.0ms	(/ v (- 1 m))
44.0ms	(/ m (/ v (- 1 m)))
32.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

simplify1.0s

Counts

236 → 236

Iterations

Iter	Nodes
2	2870
1	830
0	338

prune2.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
34×	`times-frac`
28×	`associate-l` `add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
18×	`difference-of-squares`
10×	`associate-r`
9×	`associate-/r/`
8×	`frac-times` `pow1` `flip3--` `flip--`
6×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r/` `associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3-+` `associate-*l/` `flip-+` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `div-inv` `unswap-sqr`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `*-commutative` `distribute-lft-out--`
1×	`difference-of-sqr-1` `distribute-lft-out`

Counts

4 → 153

Calls

4 calls:

9.0ms	(/ v (- 1 (* m m)))
25.0ms	(* (/ v (- 1 (* m m))) (+ 1 m))
23.0ms	(/ m (* (/ v (- 1 (* m m))) (+ 1 m)))
185.0ms	(* (- (/ m (* (/ v (- 1 (* m m))) (+ 1 m))) 1) (- 1 m))

series272.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ v (- 1 (* m m)))
54.0ms	(* (/ v (- 1 (* m m))) (+ 1 m))
70.0ms	(/ m (* (/ v (- 1 (* m m))) (+ 1 m)))
69.0ms	(* (- (/ m (* (/ v (- 1 (* m m))) (+ 1 m))) 1) (- 1 m))

simplify1.0s

Counts

165 → 165

Iterations

Iter	Nodes
2	2811
1	816
0	269

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
0.0b	(/ (* m (- 1 m)) v)
0.1b	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
30×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`flip3--` `flip--`
20×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`associate-l` `add-cube-cbrt`
8×	`difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `sqrt-prod` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 142

Calls

4 calls:

17.0ms	(* m (- 1 m))
90.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
15.0ms	(/ (* m (- 1 m)) v)
75.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* m (- 1 m))
107.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
59.0ms	(/ (* m (- 1 m)) v)
130.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

simplify1.6s

Counts

154 → 154

Iterations

Iter	Nodes
2	3288
1	834
0	246

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	13662×	body	80	valid
607.0ms	13662×	pre	80	true