Details

sample183.0ms

Algorithm

intervals

Results

80.0ms	442×	body	80	valid
18.0ms	442×	pre	80	true

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
5	1806
4	455
3	122
2	41
1	19
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

40.0ms	(* m (- 1 m))
31.0ms	(/ (* m (- 1 m)) v)
116.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series177.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* m (- 1 m))
57.0ms	(/ (* m (- 1 m)) v)
63.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1733
1	424
0	150

prune342.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

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:

43.0ms	(* m (- 1 m))
31.0ms	(/ (* m (- 1 m)) v)
177.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
129.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* m (- 1 m))
45.0ms	(/ (* m (- 1 m)) v)
86.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
111.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

simplify2.9s

Counts

154 → 154

Iterations

Iter	Nodes
done	5003
2	4113
1	839
0	246

prune748.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite267.0ms

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-r`
15×	`associate-l`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
11×	`add-cube-cbrt`
10×	`associate-*l/`
8×	`sub-neg` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`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 → 148

Calls

4 calls:

21.0ms	(* m (- 1 m))
24.0ms	(/ (* m (- 1 m)) v)
159.0ms	(* (- (/ (* m (- 1 m)) v) 1) (* (+ 1 (sqrt m)) (- 1 (sqrt m))))
54.0ms	(* (+ 1 (sqrt m)) (- 1 (sqrt m)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1 m))
43.0ms	(/ (* m (- 1 m)) v)
103.0ms	(* (- (/ (* m (- 1 m)) v) 1) (* (+ 1 (sqrt m)) (- 1 (sqrt m))))
155.0ms	(* (+ 1 (sqrt m)) (- 1 (sqrt m)))

simplify2.6s

Counts

160 → 160

Iterations

Iter	Nodes
done	5004
2	3877
1	795
0	257

prune726.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1 m)) v)
0.0b	(* (- (/ (* m (- 1 m)) v) 1) (/ (* (+ (sqrt m) 1) (- 1 (* m (sqrt m)))) (+ (* 1 1) (+ (* (sqrt m) (sqrt m)) (* 1 (sqrt m))))))
0.2b	(* m (sqrt m))
0.5b	(* (sqrt m) (sqrt m))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`pow1`
24×	`*-un-lft-identity`
22×	`add-cbrt-cube` `associate-r` `add-exp-log` `sqrt-prod`
20×	`add-cube-cbrt`
16×	`associate-l`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
7×	`times-frac` `prod-exp` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3--` `associate-r/` `pow-sqr` `*-commutative` `flip--`
2×	`frac-times` `associate-*l/` `associate-/r/` `div-inv` `difference-of-squares` `associate-/l/`
1×	`pow2` `clear-num` `rem-square-sqrt` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `difference-of-sqr-1` `pow3` `flip-+` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`

Counts

4 → 139

Calls

4 calls:

32.0ms	(/ (* m (- 1 m)) v)
296.0ms	(* (- (/ (* m (- 1 m)) v) 1) (/ (* (+ (sqrt m) 1) (- 1 (* m (sqrt m)))) (+ (* 1 1) (+ (* (sqrt m) (sqrt m)) (* 1 (sqrt m))))))
13.0ms	(* m (sqrt m))
12.0ms	(* (sqrt m) (sqrt m))

series398.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (* m (- 1 m)) v)
284.0ms	(* (- (/ (* m (- 1 m)) v) 1) (/ (* (+ (sqrt m) 1) (- 1 (* m (sqrt m)))) (+ (* 1 1) (+ (* (sqrt m) (sqrt m)) (* 1 (sqrt m))))))
54.0ms	(* m (sqrt m))
20.0ms	(* (sqrt m) (sqrt m))

simplify2.2s

Counts

151 → 151

Iterations

Iter	Nodes
done	5056
2	2874
1	760
0	263

prune766.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes117.0ms

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
done	18
1	18
0	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	13687×	body	80	valid
430.0ms	13687×	pre	80	true