Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample44.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
6.0ms	116×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- c (* a (/ b 4.0)))
0.0b	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
0.0b	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`sum-log`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `*-un-lft-identity` `diff-log` `add-cbrt-cube`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate-*r/` `frac-add` `flip--` `flip-+`

Counts

3 → 42

Calls

3 calls:

6.0ms	(- c (* a (/ b 4.0)))
7.0ms	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
9.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))

series73.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- c (* a (/ b 4.0)))
20.0ms	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
44.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))

simplify34.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4982	875
1	4982	875

prune73.0ms

Filtered

42 candidates to 51 candidates (-21.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Merged error: 0.0b

Counts

52 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
0.1b	(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
0.1b	(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
0.2b	(* (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`sum-log` `pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`associate-+r-` `rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

9.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
10.0ms	(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
8.0ms	(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
21.0ms	(* (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))

series949.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
432.0ms	(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
422.0ms	(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
46.0ms	(* (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))

simplify48.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4978	2896
1	4978	2896

prune178.0ms

Filtered

71 candidates to 114 candidates (-60.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Merged error: 0.0b

Counts

116 → 2

regimes575.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

474.0ms	8000×	body	80	valid
228.0ms	3948×	body	80	invalid

Details

analyze1.7s

sample44.0ms

simplify51.0ms

prune11.0ms

localize12.0ms

rewrite23.0ms

series73.0ms

simplify34.0ms

prune73.0ms

localize15.0ms

rewrite52.0ms

series949.0ms

simplify48.0ms

prune178.0ms

regimes575.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling