Details

sample34.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.996948%

Results

15.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

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: 32.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.2b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

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 → 55

Calls

3 calls:

3.0ms	(+ (* x x) (* (* y 4.0) y))
3.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	234	680
1	1007	622
2	5001	620

prune90.0ms

Filtered

49 candidates to 64 candidates (-30.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	4	65

Merged error: 0.5b

Counts

65 → 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: 0.5b

Counts

4 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
0.0b	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
3.2b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`exp-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`log-pow`
7×	`add-log-exp`
6×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
5×	`pow1`
3×	`log-prod` `flip3-+` `div-sub` `associate-/r` `flip-+` `div-inv` `associate-/l`
2×	`flip3--` `exp-diff` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `log-div` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

4 → 96

Calls

4 calls:

9.0ms	(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
8.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
3.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
13.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
7.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	281	1237
1	1067	1137
2	5001	1134

prune181.0ms

Filtered

85 candidates to 108 candidates (-27.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	4	112

Merged error: 0.5b

Counts

112 → 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: 0.5b

Counts

4 → 4

regimes225.0ms

Accuracy

62.1% (11.8b remaining)

Error of 12.3b against oracle of 0.4b and baseline of 31.6b

bsearch53.0ms

Steps

Iters	Range		Point
9	5.436189172712923e+214	2.553899852221677e+221	2.514802280550147e+221
7	6.535470062796008e-234	7.086922084958935e-232	2.5993552179263445e-233

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample541.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.996948%

Results

352.0ms

8000×

body

valid

Details

sample34.0ms

simplify17.0ms

prune3.0ms

localize8.0ms

rewrite16.0ms

series26.0ms

simplify35.0ms

prune90.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune5.0ms

localize13.0ms

rewrite31.0ms

series47.0ms

simplify41.0ms

prune181.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes225.0ms

bsearch53.0ms

simplify1.0ms

end0.0ms

sample541.0ms

Profiling