Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

269×

body

valid

simplify10.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

9.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

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

prune119.0ms

Filtered

55 candidates to 37 candidates (67.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	1	0	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	(/ x (- z y))
0.0b	(/ y (- z y))

rewrite58.0ms

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:

33.0ms	(- (/ x (- z y)) (/ y (- z y)))
12.0ms	(/ x (- z y))
9.0ms	(/ y (- z y))

series135.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (/ x (- z y)) (/ y (- z y)))
28.0ms	(/ x (- z y))
45.0ms	(/ y (- z y))

simplify65.0ms

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

prune168.0ms

Filtered

112 candidates to 83 candidates (74.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
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)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (- z y))
48.0ms	(* (- x y) (/ 1 (- z y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (33.0ms)

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

prune110.0ms

Filtered

97 candidates to 55 candidates (56.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(* (cbrt (- z y)) (cbrt (- z y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
11.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- z y))
145.0ms	(cbrt (- z y))
142.0ms	(cbrt (- z y))
120.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

simplify156.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	261	760
1	919	723
2	4512	670
3	5001	660

prune241.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes76.0ms

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

sample379.0ms

Algorithm

intervals

Results

202.0ms

8335×

body

valid