Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(+ x (/ (- x y) 2.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	86	81
1	224	74
2	628	74
3	3108	74
4	5001	74

prune26.0ms

Filtered

16 candidates to 12 candidates (25.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.1b

Counts

17 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
4×	`associate-l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 20

Calls

1 calls:

16.0ms

(- (* 1.5 x) (* 0.5 y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(- (* 1.5 x) (* 0.5 y))

simplify85.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	107	141
1	266	134
2	739	134
3	1748	134
4	5002	134

prune38.0ms

Filtered

23 candidates to 14 candidates (39.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 98

Calls

4 calls:

20.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.8s

Counts

4 → 12

Calls

4 calls:

422.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
466.0ms	(cbrt (+ x (/ (- x y) 2.0)))
464.0ms	(cbrt (+ x (/ (- x y) 2.0)))
440.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	273	1174
1	801	1090
2	2967	971
3	5001	955

prune203.0ms

Filtered

110 candidates to 75 candidates (31.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	106	11	117

Merged error: 0.0b

Counts

117 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-prod`
36×	`*-un-lft-identity`
26×	`cbrt-div`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
9×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/`
1×	`*-commutative`

Counts

4 → 90

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
26.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series1.8s

Counts

4 → 12

Calls

4 calls:

463.0ms	(cbrt (+ x (/ (- x y) 2.0)))
482.0ms	(cbrt (+ x (/ (- x y) 2.0)))
457.0ms	(cbrt (+ x (/ (- x y) 2.0)))
426.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	280	1358
1	683	1310
2	1856	1241
3	5001	1227

prune239.0ms

Filtered

102 candidates to 72 candidates (29.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	102	11	113

Merged error: 0.0b

Counts

113 → 11

regimes138.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample303.0ms

Algorithm

intervals

Results

135.0ms	7372×	body	80	valid
16.0ms	222×	body	1280	valid
10.0ms	172×	body	640	valid
8.0ms	89×	body	2560	valid
4.0ms	99×	body	320	valid
2.0ms	50×	body	160	valid