Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 4.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.3b	(* x (+ 1.0 (* y y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* x (+ 1.0 (* y y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	144	115
1	712	101
2	3303	100
3	5003	100

prune39.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	6	26

Merged error: 4.4b

Counts

26 → 6

localize8.0ms

Local error

Found 1 expressions with local error:

11.2b

(* x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* x (* y y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* x (* y y))

simplify95.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	75
1	289	60
2	825	60
3	2881	60
4	5001	60

prune29.0ms

Filtered

22 candidates to 12 candidates (54.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x y) y)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* x y) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	95	72
1	466	57
2	2085	57
3	5001	56

prune24.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

1.3b	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.4b	(cbrt (+ 1.0 (* y y)))
4.4b	(cbrt (+ 1.0 (* y y)))
4.4b	(cbrt (+ 1.0 (* y y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

11.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))

series707.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
198.0ms	(cbrt (+ 1.0 (* y y)))
198.0ms	(cbrt (+ 1.0 (* y y)))
161.0ms	(cbrt (+ 1.0 (* y y)))

simplify98.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	299	693
1	951	634
2	3234	616
3	5002	616

prune177.0ms

Filtered

78 candidates to 65 candidates (83.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

regimes87.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample402.0ms

Algorithm

intervals

Results

233.0ms

10740×

body

valid