Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

266×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	3

prune1.0ms

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))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

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

prune86.0ms

Filtered

55 candidates to 37 candidates (67.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0b

Counts

56 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:

25.0ms	(- (/ x (- z y)) (/ y (- z y)))
5.0ms	(/ y (- z y))
5.0ms	(/ x (- z y))

series136.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (/ x (- z y)) (/ y (- z y)))
45.0ms	(/ y (- z y))
27.0ms	(/ x (- z y))

simplify64.0ms

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	5002	594

prune173.0ms

Filtered

112 candidates to 82 candidates (73.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	112	5	117

Merged error: 0b

Counts

117 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 91

Calls

2 calls:

5.0ms	(/ 1 (- z y))
13.0ms	(* (- x y) (/ 1 (- z y)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (- z y))
50.0ms	(* (- x y) (/ 1 (- z y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	295	486
1	1355	423
2	5001	377

prune115.0ms

Filtered

97 candidates to 54 candidates (55.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sqrt (- x y)) (- z y))
0.2b	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
84×	`times-frac`
65×	`sqrt-prod`
46×	`associate-r`
44×	`add-cube-cbrt`
29×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l` `associate-/l*`
6×	`sqrt-div` `unswap-sqr`
5×	`flip3--` `associate-/r*` `flip--`
4×	`pow1` `associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 147

Calls

2 calls:

8.0ms	(/ (sqrt (- x y)) (- z y))
22.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

series195.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(/ (sqrt (- x y)) (- z y))
51.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	374	1307
1	1485	1199
2	5001	1142

prune229.0ms

Filtered

153 candidates to 86 candidates (56.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	153	5	158

Merged error: 0b

Counts

158 → 5

regimes80.0ms

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

sample339.0ms

Algorithm

intervals

Results

169.0ms

8358×

body

valid