Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	6
1	20	6
2	22	6
3	22	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 40.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.0b	(+ (* x x) (* y y))
37.5b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 39

Calls

3 calls:

6.0ms	(+ (+ (* x x) (* y y)) (* z z))
6.0ms	(+ (* x x) (* y y))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (+ (* x x) (* y y)) (* z z))
26.0ms	(+ (* x x) (* y y))
98.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	209	340
1	959	320
2	3316	316
3	5001	315

prune104.0ms

Filtered

48 candidates to 37 candidates (77.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 22.0b

Counts

49 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
0.2b	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
38.6b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
38.6b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

5.0ms	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
10.0ms	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
5.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
5.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
138.0ms	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
107.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
109.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	320	1178
1	1304	1101
2	5001	1084

prune278.0ms

Filtered

86 candidates to 75 candidates (87.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 22.0b

Counts

91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

38.6b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
38.6b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
38.6b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
38.6b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
5.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
5.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
5.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
109.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
106.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
105.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	136	700
1	502	648
2	2017	620
3	5001	620

prune259.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 22.0b

Counts

70 → 6

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Merged error: 22.0b

Counts

6 → 6

regimes356.0ms

Accuracy

62.8% (7.1b remaining)

Error of 25.4b against oracle of 18.3b and baseline of 37.4b

bsearch60.0ms

Steps

Iters	Range		Point
7	9.092643328338922e+123	2.3409482476247305e+125	4.370785232309253e+124
8	-5.4516863711246e+114	-4.4782588713311843e+111	-9.39299411254326e+113

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample482.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid