Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	138	18
2	450	18
3	1597	18
4	5001	18

prune4.0ms

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: 25.7b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
24.8b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*l/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`frac-times` `*-commutative`
3×	`flip3--` `flip--`
2×	`associate-r/` `associate-/r/` `associate-/l`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 24

Calls

4 calls:

6.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
8.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
5.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
24.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series374.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
39.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
64.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
231.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify44.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	354	409
1	1290	399
2	5003	393

prune171.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.5b	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
23.0b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
6×	`flip3-+` `flip-+` `associate-/l/`
4×	`associate-*l/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`*-commutative`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 27

Calls

4 calls:

8.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
5.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
23.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
22.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series476.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
68.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
236.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
126.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify149.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	326	442
1	1033	438
2	4947	431
3	5003	431

prune158.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
2.1b	(/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
23.1b	(* (/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-times` `flip3-+` `flip-+`
9×	`associate-*l/`
8×	`associate-/l/`
4×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
3×	`associate-l` `*-commutative`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `div-inv`
1×	`div-sub`

Counts

4 → 39

Calls

4 calls:

8.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
5.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
11.0ms	(/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
24.0ms	(* (/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series418.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
61.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
70.0ms	(/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
239.0ms	(* (/ (- x 2.0) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify72.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	548	893
1	2431	889
2	5003	889

prune235.0ms

Filtered

51 candidates to 41 candidates (80.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.2b	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
17.9b	(/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721))
24.8b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721)) 313.399215894) x) 47.066876606))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
12×	`*-commutative`
11×	`flip3-+` `flip-+`
10×	`associate-/l/`
8×	`frac-times` `associate-/l*`
6×	`associate-l`
5×	`flip3--` `flip--`
4×	`associate-*r/` `associate-/r/` `difference-of-squares`
2×	`frac-2neg` `swap-sqr` `associate-r` `clear-num` `div-inv`
1×	`pow2`

Counts

4 → 47

Calls

4 calls:

5.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
8.0ms	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
19.0ms	(/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721))
42.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721)) 313.399215894) x) 47.066876606))

series696.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
29.0ms	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
109.0ms	(/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721))
489.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721)) 313.399215894) x) 47.066876606))

simplify62.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	505	758
1	2000	722
2	5002	711

prune283.0ms

Filtered

59 candidates to 44 candidates (74.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

regimes194.0ms

Accuracy

95.7% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 25.0b

bsearch238.0ms

Steps

Iters	Range		Point
7	555429331548894.9	20657595575902116.0	20293546711004988.0
9	-6.51773788957297e+22	-3.7127638754609146e+17	-4.394796063145287e+22

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	23
1	63	23
2	63	23

end0.0ms

sample689.0ms

Algorithm

intervals

Results

501.0ms

8009×

body

valid