Details

analyze11.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5027	19

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 31.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.2b	(- (* x x) (* (* y 4.0) y))
31.2b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 54

Calls

3 calls:

4.0ms	(+ (* x x) (* (* y 4.0) y))
4.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* x x) (* (* y 4.0) y))
8.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4943	1204
1	4943	1204

prune92.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.3b

Counts

64 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.3b

Counts

4 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b	(* x (/ x (+ (* x x) (* y (* y 4.0)))))
1.8b	(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
18.6b	(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
19.2b	(/ x (+ (* x x) (* y (* y 4.0))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

163×	`times-frac`
112×	`add-sqr-sqrt`
98×	`add-cube-cbrt` `*-un-lft-identity`
59×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
11×	`div-inv`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r/` `associate-/l*`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
2×	`frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

4 → 199

Calls

4 calls:

9.0ms	(* x (/ x (+ (* x x) (* y (* y 4.0)))))
17.0ms	(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
7.0ms	(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
5.0ms	(/ x (+ (* x x) (* y (* y 4.0))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* x (/ x (+ (* x x) (* y (* y 4.0)))))
8.0ms	(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
9.0ms	(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
9.0ms	(/ x (+ (* x x) (* y (* y 4.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5141	3744

prune330.0ms

Filtered

167 candidates to 211 candidates (-26.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	211	4	215

Merged error: 0.3b

Counts

215 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.3b

Counts

4 → 4

regimes337.0ms

Accuracy

60.4% (12.5b remaining)

Error of 12.9b against oracle of 0.4b and baseline of 32.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	85
1	59	85

end0.0ms

sample482.0ms

Algorithm

intervals

Results

362.0ms

8000×

body

valid

Details

analyze11.0ms

sample18.0ms

simplify50.0ms

prune5.0ms

localize12.0ms

rewrite17.0ms

series27.0ms

simplify63.0ms

prune92.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune5.0ms

localize12.0ms

rewrite46.0ms

series34.0ms

simplify55.0ms

prune330.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes337.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample482.0ms

Profiling