Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

317×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 15.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
14.4b	(/ (* x (- y z)) y)

rewrite17.0ms

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))
10.0ms	(/ (* x (- y z)) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (- y z))
46.0ms	(/ (* x (- y z)) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

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

prune80.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.7b	(/ 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)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- y z))
48.0ms	(/ x (/ y (- y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (45.0ms)

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

prune234.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	146	6	152

Merged error: 0b

Counts

152 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

10.2b

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

9.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify88.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	241	221
1	985	200
2	4257	192
3	5003	192

prune62.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	46	5	51

Merged error: 0b

Counts

51 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ x y) (- z)))
4.2b	(* (/ x y) (- z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac` `associate-r`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `neg-mul-1` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 53

Calls

2 calls:

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

series52.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* (/ x y) (- z)))
23.0ms	(* (/ x y) (- z))

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	294	276
1	1321	253
2	5002	250

prune86.0ms

Filtered

59 candidates to 46 candidates (78.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0b

Counts

64 → 5

regimes97.0ms

Accuracy

64.3% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	29
1	33	29
2	36	29
3	36	29

end0.0ms

sample386.0ms

Algorithm

intervals

Results

196.0ms

9647×

body

valid