Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

467×

body

valid

simplify282.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

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))

series60.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3 (* y y)) (* x x))
27.0ms	(* 3 (* y y))

simplify78.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	164	168
1	654	147
2	2426	139
3	5002	139

prune58.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize5.0ms

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:

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (* 3 y) y) (* x x))
27.0ms	(* (* 3 y) y)

simplify124.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (121.0ms)

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

prune46.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* y y))
0.3b	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
21.4b	(sqrt (* 3 (* y y)))
21.4b	(sqrt (* 3 (* y y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* 3 (* y y))
12.0ms	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
4.0ms	(sqrt (* 3 (* y y)))
4.0ms	(sqrt (* 3 (* y y)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 3 (* y y))
68.0ms	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
33.0ms	(sqrt (* 3 (* y y)))
37.0ms	(sqrt (* 3 (* y y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	169	344
1	783	285
2	5001	269

prune123.0ms

Filtered

121 candidates to 54 candidates (44.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0.0b

Counts

126 → 5

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))

rewrite34.0ms

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:

12.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms	(* (cbrt 3) (* y y))

series205.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
87.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
43.0ms	(* (cbrt 3) (* y y))

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

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

prune85.0ms

Filtered

71 candidates to 38 candidates (53.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

regimes91.0ms

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

sample572.0ms

Algorithm

intervals

Results

359.0ms

14198×

body

valid

Details

sample22.0ms

simplify282.0ms

prune4.0ms

localize5.0ms

rewrite11.0ms

series60.0ms

simplify78.0ms

prune58.0ms

localize5.0ms

rewrite10.0ms

series59.0ms

simplify124.0ms

prune46.0ms

localize8.0ms

rewrite31.0ms

series163.0ms

simplify37.0ms

prune123.0ms

localize9.0ms

rewrite34.0ms

series205.0ms

simplify44.0ms

prune85.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample572.0ms

Profiling