Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	226×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	1567
9	1567
8	1565
7	1415
6	1135
5	757
4	385
3	181
2	70
1	27
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
25×	`associate-r`
22×	`add-cbrt-cube` `add-exp-log`
16×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow1`
14×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-l` `sqrt-prod`
7×	`pow-prod-down`
6×	`associate-*r/`
5×	`unswap-sqr`
4×	`sqrt-div`
3×	`*-commutative` `add-log-exp` `difference-of-squares`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `flip--`
1×	`associate-*l/` `div-inv`

Counts

3 → 87

Calls

3 calls:

66.0ms	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
30.0ms	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
14.0ms	(* (* v v) 3.0)

series731.0ms

Counts

3 → 9

Calls

3 calls:

483.0ms	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
219.0ms	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
29.0ms	(* (* v v) 3.0)

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	4216
1	628
0	221

prune389.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (sqrt 2.0) (/ (sqrt 1.0) (pow v 4)))
0.9b	(/ (* 0.375 (sqrt 2.0)) (/ (sqrt 1.0) (* v v)))
1.0b	(* 0.375 (sqrt 2.0))
1.0b	(* 0.375 (sqrt 2.0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

592×	`times-frac`
307×	`add-sqr-sqrt`
302×	`sqrt-prod`
299×	`*-un-lft-identity` `add-cube-cbrt`
126×	`unpow-prod-down`
56×	`associate-/r*`
42×	`sqr-pow`
39×	`add-exp-log`
34×	`add-cbrt-cube`
17×	`div-exp`
13×	`cbrt-undiv`
12×	`associate-r`
11×	`div-inv`
8×	`pow1`
7×	`prod-exp` `cbrt-unprod` `associate-/l*`
6×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `*-commutative`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 433

Calls

4 calls:

27.0ms	(/ (sqrt 2.0) (/ (sqrt 1.0) (pow v 4)))
16.0ms	(/ (* 0.375 (sqrt 2.0)) (/ (sqrt 1.0) (* v v)))
8.0ms	(* 0.375 (sqrt 2.0))
8.0ms	(* 0.375 (sqrt 2.0))

series265.0ms

Counts

4 → 8

Calls

4 calls:

123.0ms	(/ (sqrt 2.0) (/ (sqrt 1.0) (pow v 4)))
141.0ms	(/ (* 0.375 (sqrt 2.0)) (/ (sqrt 1.0) (* v v)))
0.0ms	(* 0.375 (sqrt 2.0))
0.0ms	(* 0.375 (sqrt 2.0))

simplify1.0s

Counts

441 → 441

Iterations

Iter	Nodes
done	5000
1	1614
0	587

prune3.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
37×	`add-cbrt-cube` `add-exp-log`
27×	`sqrt-prod`
26×	`associate-r`
25×	`pow1`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`associate-l`
19×	`prod-exp` `cbrt-unprod`
15×	`times-frac`
13×	`pow-prod-down`
11×	`associate-*r/`
7×	`unswap-sqr`
4×	`sqrt-div` `*-commutative` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `difference-of-squares`
2×	`frac-times` `flip3--` `flip--`
1×	`associate-*l/` `div-inv`

Counts

4 → 122

Calls

4 calls:

40.0ms	(* (sqrt (sqrt 2.0)) (/ (- 1.0 (* v v)) 4.0))
197.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (- 1.0 (* v v)) 4.0))) (sqrt (- 1.0 (* (* v v) 3.0))))
14.0ms	(* (* v v) 3.0)
70.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (- 1.0 (* v v)) 4.0)))

series987.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (sqrt (sqrt 2.0)) (/ (- 1.0 (* v v)) 4.0))
444.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (- 1.0 (* v v)) 4.0))) (sqrt (- 1.0 (* (* v v) 3.0))))
43.0ms	(* (* v v) 3.0)
190.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (- 1.0 (* v v)) 4.0)))

simplify2.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	4762
1	721
0	251

prune583.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	40
1	40
0	29

end0.0ms

sample2.0s

Algorithm

intervals

Results

915.0ms	8000×	body	80	valid
671.0ms	7982×	body	80	nan