Details

sample30.0ms

Algorithm

intervals

Results

20.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
34.3b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

12.0ms	(+ (+ (* x x) (* y y)) (* z z))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (+ (* x x) (* y y)) (* z z))
105.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	143	270
1	608	254
2	2522	250
3	5001	249

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 15.5b

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)))))
35.4b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
35.4b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite65.0ms

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:

16.0ms	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
32.0ms	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
7.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
7.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
145.0ms	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
113.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
111.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (39.0ms)

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

prune287.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 15.5b

localize1.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 15.5b

localize4.0ms

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: 15.5b

regimes296.0ms

Accuracy

63.6% (7.0b remaining)

Error of 25.4b against oracle of 18.4b and baseline of 37.5b

bsearch60.0ms

Steps

Iters	Range		Point
6	1.646495042169786e+116	1.0643100901350527e+117	8.429679290695843e+116
7	-5.131336026657072e+149	-1.466971091299658e+148	-1.5533831897781973e+149

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample821.0ms

Algorithm

intervals

Results

640.0ms

8000×

body

valid