Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

425×

body

valid

simplify784.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3183	4
12	5001	4

prune8.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* y y)) (* x x))
5.0ms	(* 3 (* y y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* 3 (* y y)) (* x x))
3.0ms	(* 3 (* y y))

simplify76.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	164	163
1	658	146
2	2429	139
3	5003	139

prune54.0ms

Filtered

36 candidates to 23 candidates (36.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* (* 3 y) y) (* x x))
5.0ms	(* (* 3 y) y)

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* (* 3 y) y) (* x x))
3.0ms	(* (* 3 y) y)

simplify122.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	173	161
1	854	144
2	4082	139
3	5001	138

prune43.0ms

Filtered

35 candidates to 20 candidates (42.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.2b	(* (cbrt 3) (* y y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
6.0ms	(* (cbrt 3) (* y y))

series23.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
9.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
5.0ms	(* (cbrt 3) (* y y))

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	263	553
1	1076	421
2	5001	365

prune96.0ms

Filtered

71 candidates to 37 candidates (47.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
0.2b	(* (* (cbrt 3) y) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
0.4b	(* (cbrt 3) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`associate-r`
6×	`add-log-exp`
4×	`cbrt-prod`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 79

Calls

4 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
5.0ms	(* (* (cbrt 3) y) y)
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
4.0ms	(* (cbrt 3) y)

series27.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
4.0ms	(* (* (cbrt 3) y) y)
9.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
4.0ms	(* (cbrt 3) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	304	633
1	1584	536
2	5002	433

prune109.0ms

Filtered

91 candidates to 49 candidates (46.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

regimes186.0ms

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	10	4
1	10	4

end0.0ms

sample763.0ms

Algorithm

intervals

Results

404.0ms

14281×

body

valid

Details

sample25.0ms

simplify784.0ms

prune8.0ms

localize5.0ms

rewrite11.0ms

series13.0ms

simplify76.0ms

prune54.0ms

localize6.0ms

rewrite10.0ms

series9.0ms

simplify122.0ms

prune43.0ms

localize9.0ms

rewrite31.0ms

series23.0ms

simplify37.0ms

prune96.0ms

localize9.0ms

rewrite35.0ms

series27.0ms

simplify50.0ms

prune109.0ms

regimes186.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample763.0ms

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