Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

484×

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

8.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify42.0ms

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

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
6.9b	(cbrt (+ (* x x) (* y y)))
6.9b	(cbrt (+ (* x x) (* y y)))
6.9b	(cbrt (+ (* x x) (* y y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

45.0ms	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
5.0ms	(cbrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
94.0ms	(cbrt (+ (* x x) (* y y)))
95.0ms	(cbrt (+ (* x x) (* y y)))
97.0ms	(cbrt (+ (* x x) (* y y)))

simplify145.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	222	979
1	943	914
2	4106	856
3	5003	850

prune216.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

6.3b	(sqrt (+ (* x x) (* y y)))
6.3b	(sqrt (+ (* x x) (* y y)))
6.9b	(cbrt (+ (* x x) (* y y)))
6.9b	(cbrt (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

8.0ms	(sqrt (+ (* x x) (* y y)))
8.0ms	(sqrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ (* x x) (* y y)))
43.0ms	(sqrt (+ (* x x) (* y y)))
98.0ms	(cbrt (+ (* x x) (* y y)))
99.0ms	(cbrt (+ (* x x) (* y y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	141	446
1	440	420
2	1470	416
3	5001	414

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

6.3b	(sqrt (+ (* x x) (* y y)))
6.3b	(sqrt (+ (* x x) (* y y)))
6.3b	(sqrt (+ (* x x) (* y y)))
6.9b	(cbrt (+ (* x x) (* y y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

8.0ms	(sqrt (+ (* x x) (* y y)))
8.0ms	(sqrt (+ (* x x) (* y y)))
8.0ms	(sqrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ (* x x) (* y y)))
36.0ms	(sqrt (+ (* x x) (* y y)))
41.0ms	(sqrt (+ (* x x) (* y y)))
98.0ms	(cbrt (+ (* x x) (* y y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	141	422
1	440	404
2	1470	402
3	5001	399

prune222.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes86.0ms

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

sample538.0ms

Algorithm

intervals

Results

242.0ms

14278×

body

valid