Details

analyze3.0ms

Algorithm: search

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3

prune2.0ms

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 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	175	222
1	562	208
2	2205	208
3	5001	208

prune69.0ms

Filtered

30 candidates to 37 candidates (-23.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 6.0 (- (* x x) 3.0))
0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
16×	`difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

5.0ms	(/ 6.0 (- (* x x) 3.0))
8.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ 6.0 (- (* x x) 3.0))
6.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	503	1147
1	2480	1026
2	5001	913

prune129.0ms

Filtered

73 candidates to 135 candidates (-84.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	135	5	140

Merged error: 0b

Counts

140 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.16666666666666666 (pow x 2)) 0.5)
0.2b	(* 0.16666666666666666 (pow x 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 39

Calls

2 calls:

4.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
5.0ms	(* 0.16666666666666666 (pow x 2))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
3.0ms	(* 0.16666666666666666 (pow x 2))

simplify94.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	155	183
1	561	158
2	2591	157
3	5002	156

prune55.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	45	5	50

Merged error: 0b

Counts

50 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
0.8b	(/ (- (* x x) 3.0) (sqrt 6.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
231×	`add-sqr-sqrt`
186×	`sqrt-prod`
182×	`add-cube-cbrt` `*-un-lft-identity`
49×	`difference-of-squares`
32×	`associate-/l*`
12×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 267

Calls

2 calls:

12.0ms	(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
7.0ms	(/ (- (* x x) 3.0) (sqrt 6.0))

series32.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
14.0ms	(/ (- (* x x) 3.0) (sqrt 6.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	750	3493
1	2960	3112
2	5001	3089

prune313.0ms

Filtered

121 candidates to 273 candidates (-125.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	273	5	278

Merged error: 0b

Counts

278 → 5

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

analyze3.0ms

Algorithm: search

sample258.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify7.0ms

prune2.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify66.0ms

prune69.0ms

localize5.0ms

rewrite20.0ms

series9.0ms

simplify60.0ms

prune129.0ms

localize7.0ms

rewrite10.0ms

series9.0ms

simplify94.0ms

prune55.0ms

localize6.0ms

rewrite35.0ms

series32.0ms

simplify75.0ms

prune313.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample258.0ms

Profiling