Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

478×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	3
1	6	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: 0.0b

Counts

2 → 1

localize5.0ms

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify49.0ms

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

prune27.0ms

Filtered

14 candidates to 11 candidates (78.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
6.7b	(sqrt (+ (* x x) (* y y)))
6.7b	(sqrt (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x x) (* y y))
11.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.0ms	(sqrt (+ (* x x) (* y y)))
4.0ms	(sqrt (+ (* x x) (* y y)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* x x) (* y y))
33.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
38.0ms	(sqrt (+ (* x x) (* y y)))
43.0ms	(sqrt (+ (* x x) (* y y)))

simplify220.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	198	720
1	892	654
2	4767	634
3	5001	634

prune162.0ms

Filtered

110 candidates to 65 candidates (59.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (+ (* x x) (* y y))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))
6.7b	(sqrt (+ (* x x) (* y y)))
6.7b	(sqrt (+ (* x x) (* y y)))
26.5b	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod`
47×	`add-sqr-sqrt`
32×	`sqrt-prod`
21×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-div`
16×	`unpow-prod-down` `cube-prod`
14×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`pow1` `cube-div` `cbrt-div`
6×	`add-exp-log` `associate-l`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp` `sqr-pow`
2×	`cube-mult` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unpow3` `associate-r/` `associate-l/`
1×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

16.0ms	(* (sqrt (+ (* x x) (* y y))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))
3.0ms	(sqrt (+ (* x x) (* y y)))
4.0ms	(sqrt (+ (* x x) (* y y)))
8.0ms	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

series141.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (sqrt (+ (* x x) (* y y))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))
37.0ms	(sqrt (+ (* x x) (* y y)))
39.0ms	(sqrt (+ (* x x) (* y y)))
36.0ms	(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	290	1237
1	1150	943
2	5001	923

prune223.0ms

Filtered

131 candidates to 78 candidates (59.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	131	4	135

Merged error: 0.0b

Counts

135 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (pow y 2))
0.2b	(pow (+ (pow x 2) (pow y 2)) 3)
35.1b	(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
20×	`unpow-prod-down`
16×	`cbrt-prod`
10×	`cube-prod` `distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 69

Calls

3 calls:

7.0ms	(+ (pow x 2) (pow y 2))
9.0ms	(pow (+ (pow x 2) (pow y 2)) 3)
8.0ms	(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

series127.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (pow x 2) (pow y 2))
67.0ms	(pow (+ (pow x 2) (pow y 2)) 3)
30.0ms	(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	223	451
1	1200	423
2	5001	415

prune117.0ms

Filtered

78 candidates to 40 candidates (51.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	78	4	82

Merged error: 0.0b

Counts

82 → 4

regimes84.0ms

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

sample488.0ms

Algorithm

intervals

Results

269.0ms

14063×

body

valid