Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

440×

body

valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow2` `expm1-log1p-u` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 44

Calls

1 calls:

8.0ms

(* (+ x y) (+ x y))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* (+ x y) (+ x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	192	229
1	932	202
2	5001	188

prune40.0ms

Filtered

47 candidates to 22 candidates (53.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* y y))
0.0b	(* (- x y) (- x y))
0.2b	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
33.7b	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

14221×	`add-sqr-sqrt`
7083×	`*-un-lft-identity`
6791×	`swap-sqr`
6057×	`difference-of-squares`
4163×	`times-frac`
3217×	`associate-l`
2609×	`*-commutative` `unswap-sqr`
2403×	`distribute-lft-out--`
2013×	`associate-r`
1509×	`add-cube-cbrt`
693×	`prod-diff`
238×	`distribute-rgt-in` `distribute-lft-in`
181×	`associate-/l*`
25×	`flip3--` `flip--`
23×	`associate-/r*`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`frac-times`
15×	`fma-neg`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sub-neg`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

4 → 5407

Calls

4 calls:

22.0ms	(- (* x x) (* y y))
10.0ms	(* (- x y) (- x y))
74.0ms	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
208.0ms	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x x) (* y y))
19.0ms	(* (- x y) (- x y))
48.0ms	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
42.0ms	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

simplify1.1s

Algorithm

egg-herbie

Counts

5419 → 5419

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5001	76023

prune1.9s

Filtered

5419 candidates to 587 candidates (89.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	5418	1	5419
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	5418	3	5421

Merged error: 0.0b

Counts

5421 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

17.8b	(sqrt (* x x))
17.8b	(sqrt (* x x))
17.8b	(sqrt (* x x))
17.8b	(sqrt (* x x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

60×	`sqrt-prod`
52×	`add-sqr-sqrt`
36×	`pow1`
24×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
20×	`rem-sqrt-square`
16×	`swap-sqr`
12×	`associate-r` `associate-l`
8×	`*-commutative` `unswap-sqr`
4×	`add-exp-log` `pow2` `expm1-log1p-u` `pow-plus` `pow1/2` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 144

Calls

4 calls:

5.0ms	(sqrt (* x x))
5.0ms	(sqrt (* x x))
5.0ms	(sqrt (* x x))
5.0ms	(sqrt (* x x))

series39.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (* x x))
13.0ms	(sqrt (* x x))
9.0ms	(sqrt (* x x))
9.0ms	(sqrt (* x x))

simplify58.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	72	340
1	190	336
2	821	328
3	5002	328

prune265.0ms

Filtered

156 candidates to 96 candidates (38.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	156	3	159

Merged error: 0.0b

Counts

159 → 3

regimes65.0ms

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	5	3
1	5	3

end0.0ms

sample413.0ms

Algorithm

intervals

Results

207.0ms

14183×

body

valid