Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

335×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	12	3
2	13	3
3	13	3

prune3.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

4.0ms	(+ (* x x) y)
6.0ms	(+ (+ (* x x) y) y)

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* x x) y)
5.0ms	(+ (+ (* x x) y) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	136	138
1	511	127
2	1640	121
3	5002	120

prune75.0ms

Filtered

31 candidates to 22 candidates (29.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

11.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	103	83
1	468	73
2	1756	73
3	5002	73

prune37.0ms

Filtered

16 candidates to 11 candidates (31.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) y)
0.0b	(+ (+ (* x x) y) y)
0.0b	(+ (+ (* x x) y) y)
0.2b	(* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
26×	`sqrt-prod`
24×	`add-sqr-sqrt`
19×	`pow1`
16×	`add-log-exp`
12×	`add-cube-cbrt` `sqrt-div`
11×	`swap-sqr`
9×	`flip3-+` `flip-+`
8×	`sqrt-pow1` `pow1/2` `distribute-lft-out`
7×	`associate-r` `associate-l` `sum-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `pow-sqr`
2×	`associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

7.0ms	(+ (* x x) y)
11.0ms	(+ (+ (* x x) y) y)
11.0ms	(+ (+ (* x x) y) y)
29.0ms	(* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* x x) y)
7.0ms	(+ (+ (* x x) y) y)
8.0ms	(+ (+ (* x x) y) y)
9.0ms	(* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	230	686
1	955	619
2	5001	581

prune199.0ms

Filtered

113 candidates to 59 candidates (47.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)
0.0b	(- (* x x) y)
1.1b	(+ (neg (* y y)) (pow x 4))
26.7b	(/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`times-frac`
14×	`add-cube-cbrt`
12×	`add-log-exp`
7×	`distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`pow1` `associate-+l-` `associate-/r` `associate-/l`
3×	`neg-sub0` `flip3-+` `sum-log` `flip-+`
2×	`+-commutative` `flip3--` `div-sub` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

4 → 81

Calls

4 calls:

16.0ms	(+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)
4.0ms	(- (* x x) y)
6.0ms	(+ (neg (* y y)) (pow x 4))
11.0ms	(/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)
4.0ms	(- (* x x) y)
10.0ms	(+ (neg (* y y)) (pow x 4))
15.0ms	(/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	327	821
1	1478	742
2	5002	713

prune380.0ms

Filtered

93 candidates to 72 candidates (22.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes161.0ms

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	6	3
1	6	3

end0.0ms

sample469.0ms

Algorithm

intervals

Results

209.0ms

10660×

body

valid

Details

sample22.0ms

simplify5.0ms

prune3.0ms

localize4.0ms

rewrite10.0ms

series8.0ms

simplify46.0ms

prune75.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify55.0ms

prune37.0ms

localize13.0ms

rewrite65.0ms

series27.0ms

simplify38.0ms

prune199.0ms

localize12.0ms

rewrite40.0ms

series56.0ms

simplify44.0ms

prune380.0ms

regimes161.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample469.0ms

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