Details

sample38.0ms

Algorithm

intervals

Results

27.0ms

449×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* x 2.0) y))
0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x x) (* (* x 2.0) y))
13.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series63.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x x) (* (* x 2.0) y))
22.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify163.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	191	234
1	998	212
2	4902	196
3	5002	196

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
9.3b	(cbrt (+ (* x x) (* (* x 2.0) y)))
9.3b	(cbrt (+ (* x x) (* (* x 2.0) y)))
9.3b	(cbrt (+ (* x x) (* (* x 2.0) y)))

rewrite30.0ms

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:

21.0ms	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
2.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
2.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
2.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

series930.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
229.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
228.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
229.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	218	1168
1	753	1089
2	3137	1014
3	5002	1007

prune262.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt 1) (pow (sqrt (cbrt (+ (* x x) (* (* x 2.0) y)))) 4)) (cbrt (+ (* x x) (* (* x 2.0) y))))
0.6b	(pow (sqrt (cbrt (+ (* x x) (* (* x 2.0) y)))) 4)
9.3b	(cbrt (+ (* x x) (* (* x 2.0) y)))
9.3b	(cbrt (+ (* x x) (* (* x 2.0) y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`pow1`
7×	`prod-exp`
6×	`cbrt-div` `associate-r` `sqrt-prod` `add-cbrt-cube`
4×	`pow-pow` `add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/3` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `sqrt-pow1` `associate-*r/` `pow-exp`
1×	`pow1/2` `associate-l` `pow-prod-down` `*-commutative` `sqrt-pow2` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

39.0ms	(* (* (cbrt 1) (pow (sqrt (cbrt (+ (* x x) (* (* x 2.0) y)))) 4)) (cbrt (+ (* x x) (* (* x 2.0) y))))
6.0ms	(pow (sqrt (cbrt (+ (* x x) (* (* x 2.0) y)))) 4)
2.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
2.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

series893.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* (cbrt 1) (pow (sqrt (cbrt (+ (* x x) (* (* x 2.0) y)))) 4)) (cbrt (+ (* x x) (* (* x 2.0) y))))
376.0ms	(pow (sqrt (cbrt (+ (* x x) (* (* x 2.0) y)))) 4)
239.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
235.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	350	1021
1	1615	872
2	5001	663

prune272.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes48.0ms

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	13	6
1	13	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

825.0ms

14347×

body

valid