Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune1.0ms

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: 15.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

15.0b

(/ x (+ (* x x) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

1 → 5

Calls

1 calls:

4.0ms

(/ x (+ (* x x) 1.0))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ x (+ (* x x) 1.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	81	46
1	192	44
2	685	42
3	3057	42
4	5001	42

prune21.0ms

Filtered

8 candidates to 7 candidates (87.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	7	2	9

Merged error: 0b

Counts

9 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x x) (* x x))
1.9b	(/ x (- (* (* x x) (* x x)) (* 1.0 1.0)))
19.0b	(* (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-commutative`
80×	`associate-/r*` `difference-of-squares`
46×	`frac-times`
36×	`swap-sqr` `unswap-sqr`
26×	`flip3--` `flip--`
23×	`associate-*l/`
7×	`pow2`
5×	`associate-l`
4×	`frac-2neg` `clear-num` `associate-/r/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-r*` `div-inv`
1×	`pow-prod-down` `pow-sqr` `pow-prod-up`

Counts

3 → 121

Calls

3 calls:

6.0ms	(* (* x x) (* x x))
11.0ms	(/ x (- (* (* x x) (* x x)) (* 1.0 1.0)))
17.0ms	(* (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (- (* x x) 1.0))

series259.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (* x x) (* x x))
121.0ms	(/ x (- (* (* x x) (* x x)) (* 1.0 1.0)))
103.0ms	(* (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (- (* x x) 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	311	1136
1	1649	1109
2	5003	1086

prune91.0ms

Filtered

130 candidates to 35 candidates (26.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Merged error: 0b

Counts

132 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (pow x 3))
0.4b	(/ 1 (pow x 5))
20.7b	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`associate-/r*`
11×	`frac-2neg` `clear-num` `sqr-pow`
5×	`unpow3`
4×	`div-inv`
2×	`pow-to-exp` `rec-exp` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3--` `flip--` `distribute-lft-out--`

Counts

3 → 40

Calls

3 calls:

3.0ms	(/ 1 (pow x 3))
3.0ms	(/ 1 (pow x 5))
7.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ 1 (pow x 3))
44.0ms	(/ 1 (pow x 5))
90.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify48.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	288	312
1	1245	286
2	5001	286

prune80.0ms

Filtered

49 candidates to 27 candidates (55.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Merged error: 0b

Counts

51 → 2

regimes18.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.9b

bsearch60.0ms

Steps

Iters	Range		Point
9	0.09117784756913819	2697524.489058797	411.1006160357902
9	-39258024566.25627	-1421.6155834850151	-518031897.20362055

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	17
1	34	17

end0.0ms

sample225.0ms

Algorithm

intervals

Results

140.0ms

8000×

body

valid