Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

268×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	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 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`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-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

8.0ms

(/ (- x y) (- z y))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(/ (- x y) (- z y))

simplify55.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	354
1	618	340
2	2045	340
3	5001	340

prune87.0ms

Filtered

55 candidates to 37 candidates (67.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
25×	`add-cube-cbrt`
20×	`distribute-lft-out--`
14×	`difference-of-squares`
10×	`associate-/r*`
8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 103

Calls

3 calls:

5.0ms	(/ x (- z y))
5.0ms	(/ y (- z y))
30.0ms	(- (/ x (- z y)) (/ y (- z y)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ x (- z y))
43.0ms	(/ y (- z y))
68.0ms	(- (/ x (- z y)) (/ y (- z y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	298	616
1	858	594
2	2468	594
3	5001	594

prune174.0ms

Filtered

112 candidates to 83 candidates (74.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	112	3	115

Merged error: 0b

Counts

115 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z y))
0.2b	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
2.6b	(sqrt (/ (- x y) (- z y)))
2.6b	(sqrt (/ (- x y) (- z y)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

338×	`*-un-lft-identity`
288×	`add-sqr-sqrt`
248×	`sqrt-prod`
231×	`times-frac`
108×	`distribute-lft-out--`
94×	`add-cube-cbrt`
80×	`difference-of-squares`
60×	`swap-sqr`
34×	`associate-r` `associate-l`
21×	`pow1`
14×	`associate-/r/`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
7×	`div-inv`
6×	`sqrt-div`
5×	`associate-/r` `pow-prod-up` `associate-/l`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 303

Calls

4 calls:

9.0ms	(/ (- x y) (- z y))
37.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
8.0ms	(sqrt (/ (- x y) (- z y)))
11.0ms	(sqrt (/ (- x y) (- z y)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- x y) (- z y))
50.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
102.0ms	(sqrt (/ (- x y) (- z y)))
106.0ms	(sqrt (/ (- x y) (- z y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	475	2519
1	2066	2384
2	5001	2352

prune493.0ms

Filtered

315 candidates to 179 candidates (56.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	315	3	318

Merged error: 0b

Counts

318 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

3.1b	(- (* z z) (* y y))
14.6b	(* (/ (- x y) (- (* z z) (* y y))) (+ z y))
15.7b	(/ (- x y) (- (* z z) (* y y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`times-frac`
26×	`associate-l`
25×	`add-cube-cbrt`
21×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out--`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`flip3--` `associate-r` `associate-/r*` `associate-/r/` `flip--`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out`

Counts

3 → 111

Calls

3 calls:

3.0ms	(- (* z z) (* y y))
14.0ms	(* (/ (- x y) (- (* z z) (* y y))) (+ z y))
11.0ms	(/ (- x y) (- (* z z) (* y y)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* z z) (* y y))
85.0ms	(* (/ (- x y) (- (* z z) (* y y))) (+ z y))
56.0ms	(/ (- x y) (- (* z z) (* y y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	601	994
1	2415	915
2	5001	854

prune201.0ms

Filtered

120 candidates to 90 candidates (75.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes63.0ms

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	5

end0.0ms

sample341.0ms

Algorithm

intervals

Results

174.0ms

8351×

body

valid