Details

sample78.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

9.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

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))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	191	254
1	588	238
2	1783	238
3	5001	236

prune46.0ms

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

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))
14.5b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite27.0ms

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` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `distribute-lft-out--`

Counts

3 → 104

Calls

3 calls:

3.0ms	(- (* y y) (* 1.0 1.0))
13.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
7.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (* y y) (* 1.0 1.0))
14.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
13.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	455	960
1	2138	878
2	5001	800

prune116.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ x y) (+ y 1.0)))
0.0b	(/ (+ x y) (+ y 1.0))
0.0b	(/ (+ x y) (+ y 1.0))
0.1b	(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

289×	`*-un-lft-identity`
164×	`sqrt-prod`
159×	`times-frac`
112×	`add-sqr-sqrt`
92×	`distribute-lft-out`
81×	`add-cube-cbrt`
47×	`swap-sqr`
25×	`associate-r` `associate-l`
20×	`pow1`
14×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `unswap-sqr`
8×	`associate-/r` `associate-/l`
7×	`div-inv`
5×	`sqrt-div` `pow-prod-up`
4×	`associate-/l/` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 248

Calls

4 calls:

7.0ms	(sqrt (/ (+ x y) (+ y 1.0)))
9.0ms	(/ (+ x y) (+ y 1.0))
7.0ms	(/ (+ x y) (+ y 1.0))
25.0ms	(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (/ (+ x y) (+ y 1.0)))
6.0ms	(/ (+ x y) (+ y 1.0))
6.0ms	(/ (+ x y) (+ y 1.0))
12.0ms	(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

simplify76.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	445	1841
1	2069	1719
2	5001	1696

prune279.0ms

Filtered

139 candidates to 260 candidates (-87.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	260	3	263

Merged error: 0b

Counts

263 → 3

regimes101.0ms

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	3
1	8	3

end0.0ms

sample355.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

177.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid

Details

sample78.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify47.0ms

prune46.0ms

localize9.0ms

rewrite27.0ms

series30.0ms

simplify57.0ms

prune116.0ms

localize7.0ms

rewrite60.0ms

series35.0ms

simplify76.0ms

prune279.0ms

regimes101.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample355.0ms

Profiling