Details

analyze683.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample60.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	1063	9
1	1063	9

prune11.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ d2 (- d4 (+ d1 d3)))
0.0b	(* d1 (+ d2 (- d4 (+ d1 d3))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
11×	`add-log-exp`
8×	`distribute-lft-out`
6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sum-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-l`
2×	`flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

7.0ms	(+ d2 (- d4 (+ d1 d3)))
9.0ms	(* d1 (+ d2 (- d4 (+ d1 d3))))

series19.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ d2 (- d4 (+ d1 d3)))
11.0ms	(* d1 (+ d2 (- d4 (+ d1 d3))))

simplify39.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4989	449
1	4989	449

prune46.0ms

Filtered

31 candidates to 49 candidates (-58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (- d4 (+ d1 d3)))
0.0b	(+ (* d1 d2) (* d1 (- d4 (+ d1 d3))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

10.0ms	(* d1 (- d4 (+ d1 d3)))
4.0ms	(+ (* d1 d2) (* d1 (- d4 (+ d1 d3))))

series24.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* d1 (- d4 (+ d1 d3)))
18.0ms	(+ (* d1 d2) (* d1 (- d4 (+ d1 d3))))

simplify41.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4986	423
1	4986	423

prune41.0ms

Filtered

31 candidates to 45 candidates (-45.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ d2 (- d4 (+ d1 d3)))
0.0b	(+ d2 (- d4 (+ d1 d3)))
0.1b	(* d1 (sqrt (+ d2 (- d4 (+ d1 d3)))))
0.2b	(* (* d1 (sqrt (+ d2 (- d4 (+ d1 d3))))) (sqrt (+ d2 (- d4 (+ d1 d3)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
22×	`add-log-exp`
18×	`associate-r`
16×	`distribute-lft-out`
14×	`sqrt-div`
13×	`add-sqr-sqrt` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
8×	`sum-log` `distribute-lft-out--`
4×	`frac-times` `diff-log` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

7.0ms	(+ d2 (- d4 (+ d1 d3)))
7.0ms	(+ d2 (- d4 (+ d1 d3)))
12.0ms	(* d1 (sqrt (+ d2 (- d4 (+ d1 d3)))))
19.0ms	(* (* d1 (sqrt (+ d2 (- d4 (+ d1 d3))))) (sqrt (+ d2 (- d4 (+ d1 d3)))))

series82.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ d2 (- d4 (+ d1 d3)))
9.0ms	(+ d2 (- d4 (+ d1 d3)))
53.0ms	(* d1 (sqrt (+ d2 (- d4 (+ d1 d3)))))
12.0ms	(* (* d1 (sqrt (+ d2 (- d4 (+ d1 d3))))) (sqrt (+ d2 (- d4 (+ d1 d3)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4965	1263
1	4965	1263

prune80.0ms

Filtered

66 candidates to 107 candidates (-62.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0b

Counts

110 → 3

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	9
1	37	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

319.0ms

8000×

body

valid

Details

analyze683.0ms

sample60.0ms

simplify48.0ms

prune11.0ms

localize9.0ms

rewrite18.0ms

series19.0ms

simplify39.0ms

prune46.0ms

localize8.0ms

rewrite17.0ms

series24.0ms

simplify41.0ms

prune41.0ms

localize9.0ms

rewrite49.0ms

series82.0ms

simplify55.0ms

prune80.0ms

regimes208.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling