Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
27.4b	(sqrt (+ (* x x) (* y y)))

rewrite7.0ms

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))
4.0ms	(sqrt (+ (* x x) (* y y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) (* y y))
39.0ms	(sqrt (+ (* x x) (* y y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	125	177
1	530	163
2	1540	163
3	5001	162

prune74.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(pow (sqrt (+ (* x x) (* y y))) 3)
27.4b	(sqrt (+ (* x x) (* y y)))
38.1b	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`sqrt-div` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `pow-pow`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sum-log` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 89

Calls

4 calls:

2.0ms	(+ (* x x) (* y y))
5.0ms	(pow (sqrt (+ (* x x) (* y y))) 3)
4.0ms	(sqrt (+ (* x x) (* y y)))
5.0ms	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

series185.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x x) (* y y))
85.0ms	(pow (sqrt (+ (* x x) (* y y))) 3)
37.0ms	(sqrt (+ (* x x) (* y y)))
36.0ms	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	283	643
1	1236	610
2	5001	594

prune169.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 7.9b

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 7.9b

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 7.9b

regimes238.0ms

Accuracy

60% (9.5b remaining)

Error of 17.5b against oracle of 8.0b and baseline of 31.7b

bsearch49.0ms

Steps

Iters	Range		Point
7	2.8393361645586674e+115	6.561628562676274e+116	1.9891121466079622e+116
7	-8.40151700332932e+77	-7.368284438456299e+75	-8.278564204971222e+77

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	5
1	17	5

end0.0ms

sample471.0ms

Algorithm

intervals

Results

341.0ms

8000×

body

valid