Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

320×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`associate-l`
8×	`add-sqr-sqrt`
6×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `distribute-lft-out--`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
17.0ms	(+ (* (- 1.0 x) y) (* x z))

series68.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) y)
38.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify124.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	176	205
1	754	191
2	3930	190
3	5002	190

prune58.0ms

Filtered

45 candidates to 30 candidates (33.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt x))
0.0b	(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
0.1b	(* (- (sqrt 1.0) (sqrt x)) y)
0.1b	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`associate-l`
24×	`associate-r`
20×	`sqrt-prod`
12×	`difference-of-squares`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/` `distribute-lft-out`
8×	`add-log-exp`
6×	`distribute-lft-out--`
5×	`flip3--` `flip--` `unswap-sqr`
4×	`frac-times` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
3×	`*-commutative`
2×	`associate-*r/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 108

Calls

4 calls:

6.0ms	(- (sqrt 1.0) (sqrt x))
36.0ms	(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
8.0ms	(* (- (sqrt 1.0) (sqrt x)) y)
21.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

series650.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (sqrt 1.0) (sqrt x))
119.0ms	(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
109.0ms	(* (- (sqrt 1.0) (sqrt x)) y)
375.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

simplify96.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	575	1144
1	2778	903
2	5001	880

prune199.0ms

Filtered

120 candidates to 80 candidates (33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	120	3	123

Merged error: 0b

Counts

123 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.2b	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
145×	`associate-l`
144×	`sqrt-prod`
114×	`distribute-lft-out`
56×	`swap-sqr`
38×	`distribute-lft-out--`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
12×	`associate-r`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 176

Calls

4 calls:

16.0ms	(+ (* (- 1.0 x) y) (* x z))
16.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
18.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
38.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (- 1.0 x) y) (* x z))
174.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
178.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
40.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	270	1316
1	1012	1192
2	5001	1162

prune145.0ms

Filtered

188 candidates to 63 candidates (66.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	188	3	191

Merged error: 0b

Counts

191 → 3

regimes66.0ms

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	11	4
1	11	4

end0.0ms

sample426.0ms

Algorithm

intervals

Results

223.0ms

10161×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4