Details

sample12.0ms

Algorithm

intervals

Results

5.0ms	246×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4

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 (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

6.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify116.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	78	100
1	189	91
2	421	91
3	1126	91
4	3258	91
5	5002	91

prune32.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

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

series225.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
63.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	374	1552
1	1253	1450
2	5002	1311

prune230.0ms

Filtered

110 candidates to 75 candidates (68.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	109	5	114

Merged error: 0.0b

Counts

114 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`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 → 59

Calls

4 calls:

6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series225.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
58.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify89.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	329	908
1	940	862
2	3516	851
3	5002	851

prune427.0ms

Filtered

71 candidates to 63 candidates (88.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(* (cbrt (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

177×	`cbrt-prod`
58×	`add-sqr-sqrt`
48×	`cbrt-div`
46×	`*-un-lft-identity`
26×	`add-cube-cbrt`
16×	`unswap-sqr`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 137

Calls

4 calls:

6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
24.0ms	(* (cbrt (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
56.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
56.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms	(* (cbrt (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	430	2827
1	1333	2695
2	5002	2410

prune457.0ms

Filtered

149 candidates to 100 candidates (67.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	148	6	154

Merged error: 0b

Counts

154 → 6

regimes93.0ms

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

sample282.0ms

Algorithm

intervals

Results

142.0ms	7684×	body	80	valid
11.0ms	134×	body	1280	valid
5.0ms	70×	body	640	valid
4.0ms	44×	body	2560	valid
2.0ms	42×	body	320	valid
1.0ms	27×	body	160	valid