Details

sample174.0ms

Algorithm

intervals

Results

61.0ms	53×	body	2560	valid
58.0ms	89×	body	1280	valid
18.0ms	37×	body	640	valid
5.0ms	2×	body	5120	valid
5.0ms	17×	body	320	valid
5.0ms	51×	body	80	valid
1.0ms	7×	body	160	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	14

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: 48.4b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (+ (* a 2.0) 1.0) b) t)
3.9b	(* (* (+ (* y 2.0) 1.0) z) t)
34.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.7b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune340.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	47	19	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	19	67

Merged error: 43.7b

Counts

67 → 19

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
3.9b	(* (* (+ (* y 2.0) 1.0) z) t)
34.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

7.0ms	(* (+ (* y 2.0) 1.0) z)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* y 2.0) 1.0) z)
67.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	283	530
1	1350	439
2	5001	439

prune319.0ms

Filtered

77 candidates to 54 candidates (70.1%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	60	17	77
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	64	32	96

Merged error: 42.2b

Counts

96 → 32

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune116.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	31	31
Picked	1	1
Done	0	0
Total	32	32

Merged error: 42.2b

Counts

32 → 32

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
1.7b	(* (+ (* y 2.0) 1.0) (* z t))
34.7b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

4.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
8.0ms	(* (+ (* y 2.0) 1.0) (* z t))
3.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series150.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
40.0ms	(* (+ (* y 2.0) 1.0) (* z t))
38.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	244	417
1	992	343
2	3799	343
3	5001	343

prune130.0ms

Filtered

54 candidates to 38 candidates (70.4%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	3	27	30
Picked	1	0	1
Done	0	1	1
Total	51	35	86

Merged error: 42.0b

Counts

86 → 35

regimes1.9s

Accuracy

0% (4.3b remaining)

Error of 44.3b against oracle of 40.0b and baseline of 44.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	0
1	8	0
2	8	0

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.1s	1814×	body	2560	valid
1.5s	2263×	body	1280	valid
485.0ms	1158×	body	640	valid
370.0ms	1875×	body	80	valid
176.0ms	585×	body	320	valid
122.0ms	47×	body	5120	valid
57.0ms	258×	body	160	valid