Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

334×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

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

series47.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (+ (* x x) y) y)
21.0ms	(+ (* x x) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	136	138
1	511	127
2	1640	121
3	5001	120

prune49.0ms

Filtered

31 candidates to 22 candidates (71.0%)

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

7.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	103	83
1	468	74
2	1756	74
3	5002	74

prune23.0ms

Filtered

16 candidates to 11 candidates (68.8%)

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
0.0b	(+ (* x x) y)
0.0b	(+ (* x x) y)
0.1b	(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

12.0ms	(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
4.0ms	(+ (* x x) y)
4.0ms	(+ (* x x) y)
12.0ms	(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
19.0ms	(+ (* x x) y)
19.0ms	(+ (* x x) y)
21.0ms	(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	227	600
1	903	514
2	5002	498

prune131.0ms

Filtered

102 candidates to 56 candidates (54.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) y)
0.0b	(+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)
3.1b	(+ (- (* y y)) (pow x 4))
29.2b	(/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))

rewrite42.0ms

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:

4.0ms	(- (* x x) y)
17.0ms	(+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)
6.0ms	(+ (- (* y y)) (pow x 4))
12.0ms	(/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))

series263.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* x x) y)
103.0ms	(+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)
57.0ms	(+ (- (* y y)) (pow x 4))
82.0ms	(/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	327	821
1	1478	742
2	5001	713

prune184.0ms

Filtered

93 candidates to 72 candidates (77.4%)

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

regimes40.0ms

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

sample347.0ms

Algorithm

intervals

Results

182.0ms

10713×

body

valid