Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

481×

body

valid

simplify7.0ms

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

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite40.0ms

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:

8.0ms	(+ (* x x) (* (* x 2.0) y))
31.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series58.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) (* (* x 2.0) y))
20.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify149.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (27.0ms)

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

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2) (* y (+ (* x 2.0) y)))
0.0b	(* y (+ (* x 2.0) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

15.0ms	(+ (pow x 2) (* y (+ (* x 2.0) y)))
24.0ms	(* y (+ (* x 2.0) y))

series55.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (pow x 2) (* y (+ (* x 2.0) y)))
34.0ms	(* y (+ (* x 2.0) y))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	216	231
1	1074	212
2	5002	212

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
0.6b	(cbrt (+ (* x 2.0) y))
0.6b	(cbrt (+ (* x 2.0) y))
0.6b	(cbrt (+ (* x 2.0) y))

rewrite68.0ms

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:

49.0ms	(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
5.0ms	(cbrt (+ (* x 2.0) y))
5.0ms	(cbrt (+ (* x 2.0) y))
5.0ms	(cbrt (+ (* x 2.0) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
328.0ms	(cbrt (+ (* x 2.0) y))
322.0ms	(cbrt (+ (* x 2.0) y))
322.0ms	(cbrt (+ (* x 2.0) y))

simplify149.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	287	854
1	1019	803
2	4870	758
3	5001	758

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x 2.0) y))
0.6b	(cbrt (+ (* x 2.0) y))
0.6b	(cbrt (+ (* x 2.0) y))
0.6b	(cbrt (+ (* x 2.0) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* x 2.0) y))
5.0ms	(cbrt (+ (* x 2.0) y))
5.0ms	(cbrt (+ (* x 2.0) y))
9.0ms	(cbrt (+ (* x 2.0) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt (+ (* x 2.0) y))
341.0ms	(cbrt (+ (* x 2.0) y))
338.0ms	(cbrt (+ (* x 2.0) y))
342.0ms	(cbrt (+ (* x 2.0) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	153	460
1	396	432
2	1393	420
3	5002	412

prune301.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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

sample694.0ms

Algorithm

intervals

Results

377.0ms

14174×

body

valid