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

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

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: 32.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.7b	(- (* x x) (* (* y 4.0) y))
31.6b	(/ (- (* 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)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* 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)))

simplify68.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4943	1204
1	4943	1204

prune102.0ms

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: 0.7b

Counts

64 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

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: 0.7b

Counts

4 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

3.7b	(- (* x x) (* y (* y 4.0)))
30.0b	(sqrt (+ (* x x) (* (* y 4.0) y)))
30.0b	(sqrt (+ (* x x) (* y (* y 4.0))))
30.1b	(/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 85

Calls

4 calls:

4.0ms	(- (* x x) (* y (* y 4.0)))
4.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
4.0ms	(sqrt (+ (* x x) (* y (* y 4.0))))
9.0ms	(/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0)))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* x x) (* y (* y 4.0)))
9.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
7.0ms	(sqrt (+ (* x x) (* y (* y 4.0))))
15.0ms	(/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4948	1911
1	4948	1911

prune182.0ms

Filtered

75 candidates to 97 candidates (-29.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0.7b

Counts

101 → 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: 0.7b

Counts

4 → 4

regimes270.0ms

Accuracy

61.2% (12.6b remaining)

Error of 12.9b against oracle of 0.4b and baseline of 32.7b

bsearch62.0ms

Steps

Iters	Range		Point
7	1.5014951242492255e+64	1.5207128552185242e+66	3.6825850148726655e+65
7	2.3990071604733702e+42	1.7260926892289217e+44	1.704440708939182e+44
6	3.316059975271706e-68	2.7447472517619007e-67	9.962240782868924e-68
10	-1.3352774785356015e-89	-1.9496614888185966e-107	-1.989093596962881e-107
8	-1.6890797693903285e+148	-5.3292854983054754e+144	-1.4754112619831426e+145

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	74
1	68	74

end0.0ms

sample480.0ms

Algorithm

intervals

Results

345.0ms

8000×

body

valid

Details

analyze11.0ms

sample18.0ms

simplify54.0ms

prune5.0ms

localize8.0ms

rewrite17.0ms

series29.0ms

simplify68.0ms

prune102.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune6.0ms

localize14.0ms

rewrite22.0ms

series39.0ms

simplify59.0ms

prune182.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes270.0ms

bsearch62.0ms

simplify2.0ms

end0.0ms

sample480.0ms

Profiling