Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	280×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	3
1	11	3
2	11	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt (- 1.0 (* x x)))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(sqrt (- 1.0 (* x x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	157	124
1	534	121
2	2617	120
3	5002	119

prune40.0ms

Filtered

19 candidates to 16 candidates (84.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0b

Counts

20 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
0.0b	(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
0.1b	(pow (* x x) 3)
0.1b	(* (* x x) (* x x))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

225×	`sqrt-prod`
183×	`add-sqr-sqrt`
144×	`times-frac`
124×	`pow1`
112×	`difference-of-squares`
84×	`*-un-lft-identity`
70×	`add-cube-cbrt`
57×	`unpow-prod-down` `cube-prod` `sqr-pow`
37×	`pow-prod-up`
24×	`pow-prod-down` `associate-/l*`
23×	`pow-sqr`
21×	`add-exp-log` `add-cbrt-cube`
19×	`pow-plus`
14×	`pow2`
9×	`prod-exp` `cbrt-unprod`
7×	`difference-cubes` `distribute-lft-out--`
6×	`pow-pow` `sqrt-div` `associate-/r*`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `rem-sqrt-square` `sqrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `unpow3` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 295

Calls

4 calls:

11.0ms	(sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
32.0ms	(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
4.0ms	(pow (* x x) 3)
10.0ms	(* (* x x) (* x x))

series308.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
144.0ms	(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
43.0ms	(pow (* x x) 3)
42.0ms	(* (* x x) (* x x))

simplify140.0ms

Algorithm

egg-herbie

Counts

307 → 307

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	682	5907
1	2512	5596
2	5002	5516

prune539.0ms

Filtered

307 candidates to 137 candidates (44.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	307	0	307
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	307	2	309

Merged error: 0b

Counts

309 → 2

regimes49.0ms

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	18	15
1	18	15

end0.0ms

sample449.0ms

Algorithm

intervals

Results

146.0ms	8000×	body	80	valid
126.0ms	7959×	body	80	nan