Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

468×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x x) (* y y))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (* x x) (* y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	101	77
1	465	66
2	1240	66
3	5001	66

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
8.0b	(sqrt (+ (* x x) (* y y)))
8.0b	(sqrt (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(+ (* x x) (* y y))
4.0ms	(+ (* x x) (* y y))
3.0ms	(sqrt (+ (* x x) (* y y)))
4.0ms	(sqrt (+ (* x x) (* y y)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x x) (* y y))
32.0ms	(+ (* x x) (* y y))
39.0ms	(sqrt (+ (* x x) (* y y)))
43.0ms	(sqrt (+ (* x x) (* y y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	125	354
1	530	326
2	1540	326
3	5001	324

prune152.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

8.0b	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
8.6b	(cbrt (+ (* x x) (* y y)))
8.6b	(cbrt (+ (* x x) (* y y)))
8.6b	(cbrt (+ (* x x) (* y y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

16.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
4.0ms	(cbrt (+ (* x x) (* y y)))
4.0ms	(cbrt (+ (* x x) (* y y)))
4.0ms	(cbrt (+ (* x x) (* y y)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
102.0ms	(cbrt (+ (* x x) (* y y)))
104.0ms	(cbrt (+ (* x x) (* y y)))
107.0ms	(cbrt (+ (* x x) (* y y)))

simplify197.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (182.0ms)

Iter	Nodes	Cost
0	287	1504
1	701	1463
2	3065	1446
3	5001	1379

prune259.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample473.0ms

Algorithm

intervals

Results

263.0ms

14257×

body

valid