Details

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.759766%

Guaranteed chance to sample good point: 46.435819%

Results

8.0ms	256×	body	80	valid
3.0ms	83×	body	80	invalid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/ (- (+ x y) z) (* t 2.0))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	203	198
1	740	169
2	3492	169
3	5001	169

prune40.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.0b	(+ (/ y t) (/ x t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`distribute-lft-out`
7×	`add-cube-cbrt`
5×	`distribute-lft-out--`
3×	`frac-sub`
2×	`pow1` `add-exp-log` `flip3-+` `diff-log` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `associate--l+` `flip--`

Counts

2 → 41

Calls

2 calls:

19.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
12.0ms	(+ (/ y t) (/ x t))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
5.0ms	(+ (/ y t) (/ x t))

simplify51.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	220	339
1	671	323
2	2370	316
3	5002	316

prune48.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (+ x y) z))
0.0b	(sqrt (- (+ x y) z))
0.2b	(/ (sqrt (- (+ x y) z)) t)
0.2b	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
112×	`add-sqr-sqrt`
93×	`times-frac`
78×	`sqrt-prod`
56×	`add-cube-cbrt`
31×	`associate-r` `associate-l`
24×	`distribute-lft-out--`
18×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out` `difference-of-squares`
9×	`associate-/l*` `unswap-sqr`
8×	`pow1`
6×	`sqrt-div`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `associate-/r*` `flip--` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 180

Calls

4 calls:

6.0ms	(sqrt (- (+ x y) z))
5.0ms	(sqrt (- (+ x y) z))
8.0ms	(/ (sqrt (- (+ x y) z)) t)
32.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

series52.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (- (+ x y) z))
10.0ms	(sqrt (- (+ x y) z))
21.0ms	(/ (sqrt (- (+ x y) z)) t)
11.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	609	1708
1	2486	1564
2	5002	1520

prune140.0ms

Filtered

122 candidates to 192 candidates (-57.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	192	3	195

Merged error: 0b

Counts

195 → 3

regimes539.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.759766%

Guaranteed chance to sample good point: 46.435819%

Results

263.0ms	8000×	body	80	valid
78.0ms	2412×	body	80	invalid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Details

sample2.5s

simplify32.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series11.0ms

simplify65.0ms

prune40.0ms

localize8.0ms

rewrite32.0ms

series13.0ms

simplify51.0ms

prune48.0ms

localize9.0ms

rewrite60.0ms

series52.0ms

simplify61.0ms

prune140.0ms

regimes539.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4