Details

analyze39.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

prune2.0ms

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 1 expressions with local error:

0.0b	(/ (+ x y) (+ y 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

7.0ms

(/ (+ x y) (+ y 1.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (+ x y) (+ y 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5052	477

prune48.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
0.3b	(cbrt (+ y 1.0))
0.3b	(cbrt (+ y 1.0))
0.3b	(cbrt (+ y 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
3.0ms	(cbrt (+ y 1.0))
3.0ms	(cbrt (+ y 1.0))
3.0ms	(cbrt (+ y 1.0))

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
6.0ms	(cbrt (+ y 1.0))
6.0ms	(cbrt (+ y 1.0))
9.0ms	(cbrt (+ y 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5045	1033

prune167.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y y) (* 1.0 1.0))
0.1b	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
15.2b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`associate-l`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out`
5×	`pow1` `flip3--` `associate-r` `flip--` `add-log-exp`
4×	`associate-/r` `associate-/r/` `associate-/l`
3×	`sub-neg`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `distribute-lft-out--`

Counts

3 → 101

Calls

3 calls:

4.0ms	(- (* y y) (* 1.0 1.0))
15.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
8.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series31.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (* y y) (* 1.0 1.0))
12.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
15.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5003	1500

prune116.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes104.0ms

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	8	7
1	8	7

end0.0ms

sample306.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

valid

Details

analyze39.0ms

sample12.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify45.0ms

prune48.0ms

localize10.0ms

rewrite21.0ms

series28.0ms

simplify52.0ms

prune167.0ms

localize9.0ms

rewrite29.0ms

series31.0ms

simplify47.0ms

prune116.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample306.0ms

Profiling