Details

sample295.0ms

Algorithm

intervals

Results

9.0ms

337×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	16	3
2	26	3
3	33	3
4	33	3

prune3.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

1 → 13

Calls

1 calls:

6.0ms

(- (* x x) y)

series57.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(- (* x x) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	63
1	216	56
2	535	56
3	1794	56
4	5001	56

prune25.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`flip3--` `sqrt-pow1` `pow1/2` `swap-sqr` `flip--`
8×	`add-log-exp`
7×	`associate-r` `associate-l` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

4.0ms	(sqrt (- (* x x) y))
4.0ms	(- (* x x) y)
4.0ms	(- (* x x) y)
13.0ms	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (- (* x x) y))
22.0ms	(- (* x x) y)
22.0ms	(- (* x x) y)
28.0ms	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify204.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (196.0ms)

Iter	Nodes	Cost
0	212	584
1	811	528
2	4671	514
3	5001	501

prune170.0ms

Filtered

114 candidates to 66 candidates (57.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) y)
0.2b	(* (sqrt (- (* x x) y)) (sqrt (/ (- (pow x 4) (pow y 2)) (+ (* x x) y))))
1.8b	(- (pow x 4) (pow y 2))
30.8b	(/ (- (pow x 4) (pow y 2)) (+ (* x x) y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-sqr-sqrt`
98×	`times-frac` `difference-of-squares`
65×	`sqrt-prod`
64×	`*-un-lft-identity`
57×	`associate-r`
56×	`unpow-prod-down` `sqr-pow`
48×	`add-cube-cbrt`
24×	`unpow2`
16×	`associate-/l*`
8×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
7×	`sqrt-div` `associate-l`
6×	`unswap-sqr`
5×	`flip3--` `flip--`
4×	`associate-/r/`
3×	`pow-prod-down` `associate-/r*`
2×	`frac-times` `sub-neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-*l/` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `prod-exp` `clear-num` `-commutative` `cbrt-unprod`

Counts

4 → 211

Calls

4 calls:

4.0ms	(- (* x x) y)
32.0ms	(* (sqrt (- (* x x) y)) (sqrt (/ (- (pow x 4) (pow y 2)) (+ (* x x) y))))
7.0ms	(- (pow x 4) (pow y 2))
15.0ms	(/ (- (pow x 4) (pow y 2)) (+ (* x x) y))

series237.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* x x) y)
112.0ms	(* (sqrt (- (* x x) y)) (sqrt (/ (- (pow x 4) (pow y 2)) (+ (* x x) y))))
44.0ms	(- (pow x 4) (pow y 2))
59.0ms	(/ (- (pow x 4) (pow y 2)) (+ (* x x) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	722	2562
1	2574	2326
2	5002	2250

prune576.0ms

Filtered

223 candidates to 149 candidates (66.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	223	3	226

Merged error: 0b

Counts

226 → 3

regimes81.0ms

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	7	3
1	7	3

end0.0ms

sample387.0ms

Algorithm

intervals

Results

223.0ms

10615×

body

valid

Details

sample295.0ms

simplify13.0ms

prune3.0ms

localize7.0ms

rewrite8.0ms

series57.0ms

simplify64.0ms

prune25.0ms

localize7.0ms

rewrite28.0ms

series129.0ms

simplify204.0ms

prune170.0ms

localize17.0ms

rewrite74.0ms

series237.0ms

simplify78.0ms

prune576.0ms

regimes81.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample387.0ms

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