Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	140	19
1	140	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: 35.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.6b	(- (* x x) (* (* y 4.0) y))
34.4b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite12.0ms

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 → 44

Calls

2 calls:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5181	1042

prune83.0ms

Filtered

41 candidates to 50 candidates (-22.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.3b

Counts

51 → 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

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0.3b

Counts

4 → 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

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: 0.3b

Counts

4 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
3.6b	(- (* x x) (* y (* y 4.0)))
34.4b	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

3 → 127

Calls

3 calls:

9.0ms	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
3.0ms	(- (* x x) (* y (* y 4.0)))
9.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

series31.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
7.0ms	(- (* x x) (* y (* y 4.0)))
12.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

simplify71.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4959	3653
1	4959	3653

prune169.0ms

Filtered

90 candidates to 136 candidates (-51.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	136	4	140

Merged error: 0.3b

Counts

140 → 4

regimes170.0ms

Accuracy

60.3% (12.4b remaining)

Error of 12.7b against oracle of 0.3b and baseline of 31.4b

bsearch66.0ms

Steps

Iters	Range		Point
9	2.14645613255865e+90	2.4314027802128217e+95	1.9723441819548584e+95
6	6.355430981966419e-86	2.8099953394807335e-85	6.595574368002662e-86
8	-1.4318868493562026e-44	-5.037778411777015e-47	-2.9881672222301808e-46
10	-1.6796181841493287e+154	-3.4073642768570884e+140	-5.79566710446214e+140

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	61
1	28	61

end0.0ms

sample548.0ms

Algorithm

intervals

Results

351.0ms

8000×

body

valid

Details

sample21.0ms

simplify5.0ms

prune5.0ms

localize7.0ms

rewrite12.0ms

series23.0ms

simplify48.0ms

prune83.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune7.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune6.0ms

localize9.0ms

rewrite25.0ms

series31.0ms

simplify71.0ms

prune169.0ms

regimes170.0ms

bsearch66.0ms

simplify1.0ms

end0.0ms

sample548.0ms

Profiling