Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 39.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
36.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

3.0ms	(+ (* x x) (* y y))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x x) (* y y))
97.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	173	212
1	707	203
2	1993	203
3	5001	202

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 21.2b

localize15.0ms

Local error

Found 4 expressions with local error:

32.0b	(cbrt (+ (* x x) (* y y)))
32.0b	(cbrt (+ (* x x) (* y y)))
32.0b	(cbrt (+ (* x x) (* y y)))
36.4b	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

rewrite29.0ms

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:

3.0ms	(cbrt (+ (* x x) (* y y)))
4.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
18.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ (* x x) (* y y)))
90.0ms	(cbrt (+ (* x x) (* y y)))
90.0ms	(cbrt (+ (* x x) (* y y)))
99.0ms	(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 (63.0ms)

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

prune222.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 21.2b

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

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 21.2b

localize2.0ms

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

5 alts after pruning (1 fresh and 4 done)

Merged error: 21.2b

regimes270.0ms

Accuracy

62.7% (7.3b remaining)

Error of 25.6b against oracle of 18.2b and baseline of 37.8b

bsearch100.0ms

Steps

Iters	Range		Point
7	1.5208757723416256e+124	2.9879744889931395e+125	7.277369115061499e+124
5	-1.658862793285038e-179	-6.874995754281983e-180	-1.6277133883021642e-179
10	-4.53359469306862e-141	-7.328692503190399e-160	-7.502177973232327e-160
7	-9.30187801373195e+97	-1.0095689469955089e+96	-6.600093290421653e+97

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample411.0ms

Algorithm

intervals

Results

245.0ms

8000×

body

valid