Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	258×	body	80	nan

simplify76.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	194	10
3	416	10
4	816	10
5	1207	10
6	1368	10
7	1505	10
8	1511	10
9	1511	10
done	1511	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `add-cbrt-cube`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 125

Calls

3 calls:

63.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
34.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series520.0ms

Counts

3 → 9

Calls

3 calls:

297.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
198.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify89.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	817	1640
1	3774	1536
2	5002	1533
done	5002	1533

prune338.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

16.0ms	(* 3.0 (* v v))
16.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))
16.0ms	(* 3.0 (* v v))

series106.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (* v v))
26.0ms	(* 3.0 (* v v))

simplify103.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	324
1	292	264
2	832	264
3	2900	264
4	5002	264
done	5002	264

prune495.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
0.2b	(* 3.0 (* v v))

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

100×	`frac-times`
67×	`add-sqr-sqrt`
52×	`sqrt-div`
50×	`-un-lft-identity` `associate-l/`
46×	`add-cube-cbrt`
44×	`flip3--` `flip--`
37×	`add-exp-log` `add-cbrt-cube`
36×	`associate-*r/` `prod-diff` `sqrt-prod`
27×	`associate-l`
25×	`pow1`
24×	`flip3-+` `flip-+`
22×	`times-frac`
21×	`distribute-rgt-in` `distribute-lft-in`
19×	`prod-exp` `cbrt-unprod`
17×	`associate-r`
13×	`pow-prod-down`
7×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`sub-neg` `difference-of-squares`
1×	`div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 238

Calls

4 calls:

32.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
231.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
71.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
16.0ms	(* 3.0 (* v v))

series747.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
375.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
156.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
26.0ms	(* 3.0 (* v v))

simplify73.0ms

Counts

250 → 250

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1629	4659
1	5003	4322
done	5003	4322

prune751.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	25
1	30	25
done	30	25

end0.0ms

sample795.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
274.0ms	8062×	body	80	nan