Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	235×	body	80	valid
0.0ms	8×	body	640	valid
0.0ms	5×	body	1280	valid
0.0ms	7×	body	320	valid
0.0ms	1×	body	2560	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 (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: 0.1b

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:

9.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify77.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune32.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	5	17

Merged error: 0.1b

Counts

17 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `times-frac` `associate--l+` `flip--`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+ x (/ x 2.0))
11.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (/ x 2.0))
36.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	170	226
1	509	216
2	1771	212
3	5001	211

prune61.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.1b

Counts

43 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))

rewrite35.0ms

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`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

15.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
6.0ms	(cbrt (+ x (/ x 2.0)))
5.0ms	(cbrt (+ x (/ x 2.0)))
6.0ms	(cbrt (+ x (/ x 2.0)))

series836.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
205.0ms	(cbrt (+ x (/ x 2.0)))
199.0ms	(cbrt (+ x (/ x 2.0)))
193.0ms	(cbrt (+ x (/ x 2.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	176	839
1	555	788
2	2453	721
3	5002	716

prune222.0ms

Filtered

107 candidates to 71 candidates (66.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ x 2.0)))
0.7b	(cbrt (cbrt (+ x (/ x 2.0))))
0.7b	(cbrt (cbrt (+ x (/ x 2.0))))
0.7b	(cbrt (cbrt (+ x (/ x 2.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
19×	`*-un-lft-identity`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

6.0ms	(cbrt (+ x (/ x 2.0)))
6.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ x 2.0))))

series1.4s

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (+ x (/ x 2.0)))
393.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
426.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
383.0ms	(cbrt (cbrt (+ x (/ x 2.0))))

simplify70.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	123	569
1	242	535
2	600	527
3	2007	527
4	5001	527

prune222.0ms

Filtered

77 candidates to 65 candidates (84.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

regimes102.0ms

Accuracy

0% (0.0b 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	8	4
1	8	4

end0.0ms

sample307.0ms

Algorithm

intervals

Results

136.0ms	7412×	body	80	valid
16.0ms	212×	body	1280	valid
13.0ms	97×	body	2560	valid
9.0ms	154×	body	640	valid
4.0ms	86×	body	320	valid
1.0ms	41×	body	160	valid