Details

sample168.0ms

Algorithm

intervals

Results

34.0ms	449×	body	80	valid
17.0ms	449×	pre	80	true

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
10	3192
9	1958
8	1357
7	967
6	722
5	451
4	201
3	69
2	35
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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) m)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l` `add-cube-cbrt`
9×	`associate-r`
8×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 94

Calls

4 calls:

27.0ms	(- (/ (* m (- 1 m)) v) 1)
29.0ms	(* m (- 1 m))
29.0ms	(/ (* m (- 1 m)) v)
47.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series201.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1 m)) v) 1)
72.0ms	(* m (- 1 m))
59.0ms	(/ (* m (- 1 m)) v)
47.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
3	3231
2	895
1	342
0	143

prune977.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac`
83×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
59×	`add-cube-cbrt`
18×	`difference-of-squares`
16×	`distribute-rgt-out--`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `add-log-exp`
5×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `insert-posit16` `flip--`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`associate--l-` `clear-num` `frac-2neg` `distribute-lft-out--`

Counts

3 → 136

Calls

3 calls:

8.0ms	(- m (* m m))
32.0ms	(- (/ (- m (* m m)) (/ v m)) m)
25.0ms	(/ (- m (* m m)) (/ v m))

series178.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- m (* m m))
39.0ms	(- (/ (- m (* m m)) (/ v m)) m)
76.0ms	(/ (- m (* m m)) (/ v m))

simplify694.0ms

Counts

145 → 145

Iterations

Iter	Nodes
2	2188
1	738
0	258

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.2b	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

15.0ms	(* m (- 1 m))
21.0ms	(/ (* m (- 1 m)) v)
65.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
91.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

series284.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* m (- 1 m))
46.0ms	(/ (* m (- 1 m)) v)
102.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
63.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))

simplify1.9s

Counts

117 → 117

Iterations

Iter	Nodes
3	4378
2	1295
1	438
0	173

prune825.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m m) v) (+ (* (/ (* m m) v) m) m))
0.1b	(* (/ (* m m) v) m)
14.6b	(/ (* m m) v)
14.6b	(/ (* m m) v)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`add-log-exp`
7×	`associate-l`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod`
4×	`insert-posit16`
3×	`associate-r` `div-inv`
2×	`clear-num` `frac-2neg` `diff-log` `frac-sub` `associate-/l*` `difference-of-squares` `unswap-sqr`
1×	`sum-log` `sub-neg` `flip3-+` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `flip--` `associate--r+` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

86.0ms	(- (/ (* m m) v) (+ (* (/ (* m m) v) m) m))
31.0ms	(* (/ (* m m) v) m)
9.0ms	(/ (* m m) v)
9.0ms	(/ (* m m) v)

series114.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ (* m m) v) (+ (* (/ (* m m) v) m) m))
39.0ms	(* (/ (* m m) v) m)
21.0ms	(/ (* m m) v)
25.0ms	(/ (* m m) v)

simplify3.6s

Counts

105 → 105

Iterations

Iter	Nodes
3	5482
2	1446
1	365
0	126

prune921.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes107.0ms

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
2	12
1	12
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	13662×	body	80	valid
601.0ms	13662×	pre	80	true