Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* z z))
38.0b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite68.0ms

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:

8.0ms	(+ (* x x) (* y y))
31.0ms	(+ (+ (* x x) (* y y)) (* z z))
28.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* x x) (* y y))
33.0ms	(+ (+ (* x x) (* y y)) (* z z))
94.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify90.0ms

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

prune118.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 21.1b

localize12.0ms

Local error

Found 4 expressions with local error:

33.5b	(cbrt (+ (* x x) (* y y)))
33.5b	(cbrt (+ (* x x) (* y y)))
33.5b	(cbrt (+ (* x x) (* y y)))
38.0b	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

6.0ms	(cbrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))
113.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (+ (* x x) (* y y)))
85.0ms	(cbrt (+ (* x x) (* y y)))
85.0ms	(cbrt (+ (* x x) (* y y)))
91.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	201	739
1	622	690
2	2121	690
3	5003	689

prune197.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 21.1b

localize2.0ms

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

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 21.1b

localize1.0ms

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

5 alts after pruning (1 fresh and 4 done)

Merged error: 21.1b

regimes325.0ms

Accuracy

62.3% (7.3b remaining)

Error of 25.5b against oracle of 18.2b and baseline of 37.5b

bsearch66.0ms

Steps

Iters	Range		Point
11	1.1681615625015325e+106	4.8176863792130405e+125	4.548512359051216e+125
10	-2.4246649145524328e+112	-4.737880563320688e+100	-1.6534868728770253e+103

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample455.0ms

Algorithm

intervals

Results

238.0ms

8000×

body

valid