Details

sample188.0ms

Algorithm

intervals

Results

77.0ms	66×	body	2560	valid
48.0ms	64×	body	1280	valid
20.0ms	44×	body	640	valid
9.0ms	57×	body	80	valid
4.0ms	14×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	10×	body	160	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 46.9b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
35.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

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

series43.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
11.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
12.0ms	(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

prune266.0ms

Filtered

66 candidates to 50 candidates (24.2%)

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: 42.4b

Counts

67 → 21

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

5.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series41.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	288	437
1	1182	351
2	5002	347

prune244.0ms

Filtered

55 candidates to 39 candidates (29.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	42	13	55
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	48	28	76

Merged error: 40.8b

Counts

76 → 28

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune153.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	27	27
Picked	1	1
Done	0	0
Total	28	28

Merged error: 40.8b

Counts

28 → 28

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.6b	(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
36.0b	(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
12.0ms	(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
3.0ms	(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series101.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
22.0ms	(cbrt t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
15.0ms	(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	356	538
1	1277	432
2	5001	389

prune98.0ms

Filtered

65 candidates to 45 candidates (30.8%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	49	16	65
Fresh	2	24	26
Picked	1	0	1
Done	0	1	1
Total	52	41	93

Merged error: 40.3b

Counts

93 → 41

regimes3.7s

Accuracy

0% (4.4b remaining)

Error of 44.0b against oracle of 39.6b and baseline of 44.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	1891×	body	2560	valid
1.5s	2148×	body	1280	valid
551.0ms	1188×	body	640	valid
206.0ms	1928×	body	80	valid
184.0ms	540×	body	320	valid
118.0ms	43×	body	5120	valid
59.0ms	262×	body	160	valid

Details

sample188.0ms

simplify83.0ms

prune5.0ms

localize24.0ms

rewrite22.0ms

series43.0ms

simplify49.0ms

prune266.0ms

localize16.0ms

rewrite17.0ms

series41.0ms

simplify38.0ms

prune244.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune153.0ms

localize18.0ms

rewrite19.0ms

series101.0ms

simplify41.0ms

prune98.0ms

regimes3.7s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.4s

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