Details

analyze10.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

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: 30.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
2.3b	(- (* x x) (* (* y 4.0) y))
29.8b	(/ (- (* 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:

4.0ms	(+ (* 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)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x x) (* (* y 4.0) y))
7.0ms	(- (* x x) (* (* y 4.0) y))
11.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (26.0ms)

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

prune86.0ms

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

prune4.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
21.9b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
22.3b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-/r/` `add-log-exp`
7×	`times-frac`
6×	`associate-/r*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `prod-exp` `cbrt-unprod` `div-inv`
3×	`distribute-rgt-out--`
2×	`frac-2neg` `clear-num` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 79

Calls

4 calls:

3.0ms	(+ (* x x) (* (* y 4.0) y))
13.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
6.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
8.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x x) (* (* y 4.0) y))
15.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
8.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
8.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	396	987
1	1942	882
2	5001	881

prune106.0ms

Filtered

66 candidates to 91 candidates (-37.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0.5b

Counts

95 → 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

regimes259.0ms

Accuracy

56.3% (13.8b remaining)

Error of 14.2b against oracle of 0.4b and baseline of 31.9b

bsearch100.0ms

Steps

Iters	Range		Point
0	4.2421556652502e+38	4.418372489148832e+38	4.330264077199515e+38
5	1.7738440249610635e-121	5.045930127173188e-121	1.7960930009650773e-121
8	-5.0423095458220135e-146	-3.568319439205782e-149	-2.5930064059629446e-148
7	-3.076410708742577e+112	-1.007536154390522e+111	-2.743413330212848e+112
7	-2.6923666996825996e+163	-4.171833959738634e+161	-4.2246922815829505e+161

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	23
1	34	23

end0.0ms

analyze16.0ms

Algorithm: search

sample447.0ms

Algorithm

intervals

Results

331.0ms

8000×

body

valid

Details

analyze10.0ms

sample16.0ms

simplify15.0ms

prune6.0ms

localize8.0ms

rewrite16.0ms

series25.0ms

simplify34.0ms

prune86.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune4.0ms

localize8.0ms

rewrite34.0ms

series37.0ms

simplify50.0ms

prune106.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes259.0ms

bsearch100.0ms

simplify2.0ms

end0.0ms

analyze16.0ms

sample447.0ms

Profiling