Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	10	25
1	31	25
2	165	23
3	1029	19
done	5001	15

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1.0 (* i i))
0.7b	(/ (/ (/ 1 2.0) 2.0) (- (* 2.0 2.0) (/ 1.0 (* i i))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

658×	`times-frac`
346×	`add-sqr-sqrt`
258×	`add-cube-cbrt` `*-un-lft-identity`
88×	`difference-of-squares`
46×	`associate-/l*`
26×	`div-inv`
22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`div-exp`
8×	`cbrt-undiv`
6×	`associate-/r*`
2×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`
1×	`rec-exp` `flip3--` `1-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`

Counts

2 → 305

Calls

2 calls:

16.0ms	(/ 1.0 (* i i))
97.0ms	(/ (/ (/ 1 2.0) 2.0) (- (* 2.0 2.0) (/ 1.0 (* i i))))

series130.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ 1.0 (* i i))
84.0ms	(/ (/ (/ 1 2.0) 2.0) (- (* 2.0 2.0) (/ 1.0 (* i i))))

simplify746.0ms

Counts

311 → 311

Iterations

Useful iterations: done (714.0ms)

Iter	Nodes	Cost
0	628	9095
1	1569	8430
done	5001	8114

prune650.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ (/ (/ 1 2.0) 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i)))
0.1b	(/ (/ (/ 1 2.0) 2.0) (+ 2.0 (/ (sqrt 1.0) i)))

rewrite643.0ms

Algorithm

rewrite-expression-head

Rules

5594×	`times-frac`
3304×	`add-sqr-sqrt`
3006×	`*-un-lft-identity`
1872×	`add-cube-cbrt`
537×	`difference-of-squares`
388×	`distribute-lft-out`
221×	`associate-/l*`
179×	`sqrt-prod` `distribute-lft-out--`
158×	`div-inv`
39×	`add-exp-log`
28×	`div-exp`
25×	`add-cbrt-cube`
20×	`associate-/r/`
16×	`cbrt-undiv`
11×	`associate-/r*`
9×	`flip3-+` `flip-+`
2×	`pow1` `rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 1694

Calls

2 calls:

203.0ms	(/ (/ (/ (/ 1 2.0) 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i)))
94.0ms	(/ (/ (/ 1 2.0) 2.0) (+ 2.0 (/ (sqrt 1.0) i)))

series328.0ms

Counts

2 → 6

Calls

2 calls:

227.0ms	(/ (/ (/ (/ 1 2.0) 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i)))
101.0ms	(/ (/ (/ 1 2.0) 2.0) (+ 2.0 (/ (sqrt 1.0) i)))

simplify2.5s

Counts

1700 → 1700

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	1797	68683
1	4828	62953
done	5000	61866

prune2.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (pow i 6))
0.0b	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 36

Calls

2 calls:

23.0ms	(* 4.0 (pow i 6))
19.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series293.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* 4.0 (pow i 6))
208.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify3.4s

Counts

42 → 42

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	74	471
1	189	431
2	688	395
3	3953	393
done	5000	390

prune152.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	19
1	15	19
done	15	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

953.0ms	8000×	body	80	valid
159.0ms	8000×	pre	80	true