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

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4835	19
1	4835	19

prune6.0ms

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: 32.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4922	1039
1	4922	1039

prune91.0ms

Filtered

41 candidates to 49 candidates (-19.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Merged error: 0.5b

Counts

50 → 3

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.5b

Counts

3 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b	(* x (/ x (+ (* x x) (* y (* y 4.0)))))
2.4b	(* y (* 4.0 (/ y (+ (* x x) (* y (* y 4.0))))))
18.3b	(/ y (+ (* x x) (* y (* y 4.0))))
19.8b	(/ x (+ (* x x) (* y (* y 4.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
22×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `add-log-exp`
3×	`flip3-+` `associate-*r/` `flip-+` `div-inv`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

11.0ms	(* x (/ x (+ (* x x) (* y (* y 4.0)))))
9.0ms	(* y (* 4.0 (/ y (+ (* x x) (* y (* y 4.0))))))
5.0ms	(/ y (+ (* x x) (* y (* y 4.0))))
5.0ms	(/ x (+ (* x x) (* y (* y 4.0))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5151	1807

prune174.0ms

Filtered

91 candidates to 125 candidates (-37.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Merged error: 0.5b

Counts

128 → 3

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.5b

Counts

3 → 3

regimes105.0ms

Accuracy

62.3% (11.9b remaining)

Error of 12.3b against oracle of 0.4b and baseline of 32.0b

bsearch54.0ms

Steps

Iters	Range		Point
3	9.468664994524677e+153	1.1210998240129207e+154	1.1102102412278923e+154
10	1.1299673384316165e-80	1.4234069450753011e-64	4.865934429524617e-79
10	-3.6602735266725634e-141	-1.8391154090751022e-155	-1.0517208507748325e-149
8	-9.039180234864116e+156	-9.823345189403744e+152	-1.3391086476024713e+154

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	77
1	146	77

end0.0ms

sample488.0ms

Algorithm

intervals

Results

357.0ms

8000×

body

valid

Details

analyze11.0ms

sample23.0ms

simplify58.0ms

prune6.0ms

localize7.0ms

rewrite13.0ms

series19.0ms

simplify62.0ms

prune91.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune5.0ms

localize12.0ms

rewrite34.0ms

series33.0ms

simplify43.0ms

prune174.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes105.0ms

bsearch54.0ms

simplify3.0ms

end0.0ms

sample488.0ms

Profiling