Details

sample175.0ms

Algorithm

intervals

Results

83.0ms	69×	body	2560	valid
42.0ms	67×	body	1280	valid
15.0ms	35×	body	640	valid
6.0ms	61×	body	80	valid
5.0ms	16×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	7×	body	160	valid

simplify82.0ms

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: 46.4b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
34.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite25.0ms

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:

10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

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

prune342.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	45	21	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	21	67

Merged error: 41.8b

Counts

67 → 21

localize14.0ms

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)))
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
34.4b	(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:

6.0ms	(* (+ (* 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))

series184.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* y 2.0) 1.0) z)
68.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(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

prune305.0ms

Filtered

77 candidates to 54 candidates (70.1%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	56	21	77
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	62	36	98

Merged error: 40.0b

Counts

98 → 36

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune117.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	35	35
Picked	1	1
Done	0	0
Total	36	36

Merged error: 40.0b

Counts

36 → 36

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
2.2b	(* (+ (* y 2.0) 1.0) (* z t))
34.4b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite14.0ms

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:

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

series139.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
39.0ms	(* (+ (* y 2.0) 1.0) (* z t))
35.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify94.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (7.0ms)

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

prune122.0ms

Filtered

54 candidates to 38 candidates (70.4%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	8	26	34
Picked	1	0	1
Done	0	1	1
Total	55	35	90

Merged error: 40.0b

Counts

90 → 35

regimes1.8s

Accuracy

0% (4.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.1s	1826×	body	2560	valid
1.5s	2277×	body	1280	valid
520.0ms	1159×	body	640	valid
197.0ms	1896×	body	80	valid
193.0ms	562×	body	320	valid
93.0ms	36×	body	5120	valid
52.0ms	244×	body	160	valid

Details

sample175.0ms

simplify82.0ms

prune4.0ms

localize23.0ms

rewrite25.0ms

series148.0ms

simplify49.0ms

prune342.0ms

localize14.0ms

rewrite23.0ms

series184.0ms

simplify43.0ms

prune305.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune117.0ms

localize13.0ms

rewrite14.0ms

series139.0ms

simplify94.0ms

prune122.0ms

regimes1.8s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.0s

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