Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

310×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6

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: 0.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
2.8b	(* (/ x y) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

9.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms	(* (/ x y) z)

series94.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify117.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	341	425
1	1212	395
2	4978	394
3	5002	394

prune185.0ms

Filtered

88 candidates to 63 candidates (71.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series833.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt y)
297.0ms	(cbrt x)
182.0ms	(cbrt x)
184.0ms	(cbrt x)

simplify58.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136

prune172.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
4.4b	(* x (/ z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

8.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
6.0ms	(* x (/ z y))

series89.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
19.0ms	(* x (/ z y))

simplify41.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	349	430
1	1432	403
2	5001	403

prune154.0ms

Filtered

88 candidates to 61 candidates (69.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (/ (* x z) y))
5.1b	(/ (* x z) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`times-frac`
14×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`associate-/l*` `add-log-exp`
4×	`div-inv` `distribute-lft-out`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `sub-div`

Counts

3 → 72

Calls

3 calls:

5.0ms	(/ (+ x 4.0) y)
12.0ms	(- (/ (+ x 4.0) y) (/ (* x z) y))
4.0ms	(/ (* x z) y)

series90.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (/ (* x z) y))
19.0ms	(/ (* x z) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	300	420
1	1150	393
2	5001	393

prune130.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	82	4	86

Merged error: 0b

Counts

86 → 4

regimes93.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample562.0ms

Algorithm

intervals

Results

360.0ms

10032×

body

valid