Details

sample19.0ms

Algorithm

intervals

Results

5.0ms	229×	body	80	valid
5.0ms	12×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	3×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	83	7
1	83	7

prune3.0ms

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

localize4.0ms

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))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	157
1	4977	157

prune38.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	6	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	7	17

Merged error: 0.0b

Counts

17 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5131	155

prune31.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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:

21.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
45.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5025	1561

prune199.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify30.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5139	864

prune199.0ms

Filtered

60 candidates to 68 candidates (-13.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

regimes200.0ms

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	7
1	9	7

end0.0ms

sample405.0ms

Algorithm

intervals

Results

154.0ms	7368×	body	80	valid
22.0ms	239×	body	1280	valid
14.0ms	169×	body	640	valid
9.0ms	78×	body	2560	valid
8.0ms	97×	body	320	valid
2.0ms	53×	body	160	valid

Details

sample19.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify59.0ms

prune38.0ms

localize5.0ms

rewrite4.0ms

series5.0ms

simplify32.0ms

prune31.0ms

localize9.0ms

rewrite52.0ms

series175.0ms

simplify53.0ms

prune199.0ms

localize14.0ms

rewrite37.0ms

series167.0ms

simplify30.0ms

prune199.0ms

regimes200.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample405.0ms

Profiling