Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

289×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	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: 12.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.6b	(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
7.0ms	(/ (* x (- y z)) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (- y z))
48.0ms	(/ (* x (- y z)) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune76.0ms

Filtered

55 candidates to 35 candidates (63.6%)

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: 0.0b

Counts

56 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
1.0b	(/ x (/ y (- y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
9.0ms	(/ x (/ y (- y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- y z))
45.0ms	(/ x (/ y (- y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune285.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	145	5	150

Merged error: 0b

Counts

150 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(/ (* (cbrt x) (cbrt x)) (/ (/ y (- y z)) (cbrt x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

562×	`times-frac`
273×	`add-sqr-sqrt` `*-un-lft-identity`
201×	`add-cube-cbrt`
135×	`cbrt-prod`
130×	`associate-/r*`
36×	`distribute-lft-out--` `difference-of-squares`
25×	`add-exp-log` `associate-/r/`
15×	`add-cbrt-cube` `div-inv`
12×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 317

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
26.0ms	(/ (* (cbrt x) (cbrt x)) (/ (/ y (- y z)) (cbrt x)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt x)
178.0ms	(cbrt x)
170.0ms	(cbrt x)
102.0ms	(/ (* (cbrt x) (cbrt x)) (/ (/ y (- y z)) (cbrt x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1535	3927
1	5002	3578

prune786.0ms

Filtered

329 candidates to 265 candidates (80.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	329	0	329
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	329	5	334

Merged error: 0b

Counts

334 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y z))
0.2b	(/ 1 (/ y (* x (- y z))))
11.6b	(/ y (* x (- y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
31×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1` `flip3--` `flip--` `div-inv` `associate-/l*`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num`
1×	`pow-flip` `pow-prod-down` `*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

3 → 113

Calls

3 calls:

6.0ms	(* x (- y z))
8.0ms	(/ 1 (/ y (* x (- y z))))
6.0ms	(/ y (* x (- y z)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* x (- y z))
42.0ms	(/ 1 (/ y (* x (- y z))))
50.0ms	(/ y (* x (- y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	382	686
1	1928	597
2	5002	546

prune120.0ms

Filtered

122 candidates to 65 candidates (53.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes73.0ms

Accuracy

0% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

sample428.0ms

Algorithm

intervals

Results

237.0ms

9537×

body

valid