Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	244×	body	80	nan

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
45×	`sqrt-prod`
42×	`*-un-lft-identity`
34×	`add-cube-cbrt`
32×	`associate-r`
30×	`associate-l`
28×	`sqrt-div`
25×	`unswap-sqr`
24×	`frac-times`
22×	`times-frac`
18×	`associate-/l*`
14×	`flip3--` `flip--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*l/` `difference-of-squares`
11×	`pow1`
9×	`associate-/r*`
6×	`swap-sqr` `*-commutative`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `distribute-lft-out--`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`associate-*r/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 153

Calls

3 calls:

12.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
29.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
9.0ms	(* 3.0 (* v v))

series318.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
209.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))

simplify102.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	687	1527
1	2974	1472
2	5001	1470

prune316.0ms

Filtered

162 candidates to 103 candidates (63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize20.0ms

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))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
72×	`associate-r`
28×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
24×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
16×	`swap-sqr`
12×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
4×	`add-log-exp`

Counts

4 → 148

Calls

4 calls:

9.0ms	(* 3.0 (* v v))
12.0ms	(* 3.0 (* v v))
9.0ms	(* 3.0 (* v v))
9.0ms	(* 3.0 (* v v))

series107.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify118.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	149	508
1	658	436
2	3362	428
3	5001	420

prune390.0ms

Filtered

160 candidates to 84 candidates (52.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

5018×	`sqrt-div`
3340×	`frac-times`
1422×	`associate-/l*`
1415×	`add-sqr-sqrt`
1340×	`sqrt-prod`
1027×	`flip3--` `flip--`
986×	`associate-*l/`
858×	`*-un-lft-identity`
814×	`add-cube-cbrt`
711×	`associate-/r*`
272×	`unswap-sqr`
237×	`frac-2neg` `clear-num`
210×	`times-frac`
196×	`associate-*r/`
195×	`associate-l`
180×	`associate-r`
101×	`swap-sqr`
65×	`pow1`
38×	`difference-of-squares`
28×	`sqrt-pow1`
27×	`pow-prod-down`
21×	`add-exp-log` `add-cbrt-cube`
19×	`*-commutative`
18×	`distribute-lft-out--`
10×	`pow1/2` `pow-prod-up`
9×	`prod-exp` `cbrt-unprod`
6×	`pow-sqr`
5×	`div-inv`
4×	`add-log-exp`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-exp` `rem-square-sqrt`

Counts

4 → 1973

Calls

4 calls:

25.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
9.0ms	(* 3.0 (* v v))
14.0ms	(* 3.0 (* v v))
131.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (* v v))
255.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify635.0ms

Algorithm

egg-herbie

Counts

1985 → 1985

Iterations

Useful iterations: 1 (90.0ms)

Iter	Nodes	Cost
0	2858	64380
1	5002	63888

prune3.2s

Filtered

1985 candidates to 590 candidates (29.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1985	0	1985
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1985	3	1988

Merged error: 0b

Counts

1988 → 3

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	25
1	30	25

end0.0ms

sample704.0ms

Algorithm

intervals

Results

271.0ms	8000×	body	80	valid
261.0ms	7861×	body	80	nan