Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
4.0ms	273×	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)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`sqrt-prod`
6×	`*-un-lft-identity`
5×	`difference-of-squares`
2×	`pow1` `add-cube-cbrt` `sqrt-div` `distribute-lft-out--`
1×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `swap-sqr` `associate-l` `*-commutative` `add-cbrt-cube` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

7.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify110.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	175	160
1	604	157
2	3567	156
3	5001	153

prune50.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	2	26

Merged error: 0b

Counts

26 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (sqrt 1.0) (sqrt (* x x))))
0.0b	(* (sqrt (+ (sqrt 1.0) (sqrt (* x x)))) (sqrt (- (sqrt 1.0) (sqrt (* x x)))))
28.4b	(sqrt (* x x))
28.4b	(sqrt (* x x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

92×	`sqrt-prod`
66×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
27×	`associate-r`
25×	`pow1`
19×	`add-cube-cbrt`
18×	`associate-l`
15×	`sqrt-pow1`
14×	`sqrt-div`
12×	`difference-of-squares`
11×	`rem-sqrt-square`
10×	`swap-sqr` `unswap-sqr`
7×	`*-commutative`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1/2` `pow-prod-down`
4×	`frac-times` `flip3-+` `flip-+` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`pow2` `pow-plus` `associate-r/` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`sqrt-unprod` `prod-exp` `cbrt-unprod`

Counts

4 → 142

Calls

4 calls:

10.0ms	(sqrt (+ (sqrt 1.0) (sqrt (* x x))))
31.0ms	(* (sqrt (+ (sqrt 1.0) (sqrt (* x x)))) (sqrt (- (sqrt 1.0) (sqrt (* x x)))))
4.0ms	(sqrt (* x x))
4.0ms	(sqrt (* x x))

series215.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt (+ (sqrt 1.0) (sqrt (* x x))))
135.0ms	(* (sqrt (+ (sqrt 1.0) (sqrt (* x x)))) (sqrt (- (sqrt 1.0) (sqrt (* x x)))))
8.0ms	(sqrt (* x x))
9.0ms	(sqrt (* x x))

simplify53.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	381	1174
1	1417	1140
2	5001	1130

prune329.0ms

Filtered

154 candidates to 91 candidates (59.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	154	2	156

Merged error: 0b

Counts

156 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (sqrt 1.0)))
0.0b	(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

1059×	`associate-*r/`
570×	`frac-add`
528×	`associate-/r*`
431×	`associate-/l*`
347×	`*-un-lft-identity`
311×	`add-sqr-sqrt`
289×	`add-cube-cbrt`
284×	`unpow-prod-down`
235×	`sqrt-prod`
114×	`cube-prod`
100×	`clear-num` `un-div-inv`
77×	`sqr-pow`
56×	`times-frac`
52×	`associate-r`
50×	`frac-2neg`
39×	`unpow2`
19×	`cube-mult` `unpow3`
12×	`add-exp-log`
9×	`unswap-sqr`
7×	`associate-l` `add-cbrt-cube`
4×	`pow1` `prod-exp` `distribute-lft-out` `add-log-exp`
3×	`div-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 683

Calls

2 calls:

22.0ms	(* 1/2 (/ (pow x 2) (sqrt 1.0)))
399.0ms	(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

series372.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* 1/2 (/ (pow x 2) (sqrt 1.0)))
298.0ms	(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

simplify208.0ms

Algorithm

egg-herbie

Counts

689 → 689

Iterations

Useful iterations: 1 (78.0ms)

Iter	Nodes	Cost
0	3944	12439
1	5001	11906

prune935.0ms

Filtered

689 candidates to 195 candidates (28.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	689	0	689
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	689	2	691

Merged error: 0b

Counts

691 → 2

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample429.0ms

Algorithm

intervals

Results

138.0ms	8000×	body	80	valid
111.0ms	7716×	body	80	nan