Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

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: 41.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
39.0b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite16.0ms

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:

2.0ms	(+ (* x x) (* y y))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x x) (* y y))
94.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (54.0ms)

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

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 21.3b

localize12.0ms

Local error

Found 4 expressions with local error:

30.2b	(cbrt (+ (* x x) (* y y)))
30.2b	(cbrt (+ (* x x) (* y y)))
30.2b	(cbrt (+ (* x x) (* y y)))
39.0b	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

rewrite68.0ms

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:

2.0ms	(cbrt (+ (* x x) (* y y)))
2.0ms	(cbrt (+ (* x x) (* y y)))
2.0ms	(cbrt (+ (* x x) (* y y)))
60.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (+ (* x x) (* y y)))
91.0ms	(cbrt (+ (* x x) (* y y)))
91.0ms	(cbrt (+ (* x x) (* y y)))
100.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (61.0ms)

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

prune227.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 21.3b

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: 21.3b

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: 21.3b

regimes334.0ms

Accuracy

55.9% (8.6b remaining)

Error of 27.3b against oracle of 18.6b and baseline of 38.2b

bsearch75.0ms

Steps

Iters	Range		Point
3	1.5765673566733113e+121	1.9108656425680437e+121	1.597460999541732e+121
9	1.6611258736907357e+60	4.620139067381952e+65	4.545831989981156e+65
10	-3.5223794056915216e+55	-5.778619763743718e+44	-3.4794970398246474e+55

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	7
1	24	7

end0.0ms

sample381.0ms

Algorithm

intervals

Results

229.0ms

8000×

body

valid