Details

sample194.0ms

Algorithm

intervals

Results

88.0ms	71×	body	2560	valid
44.0ms	68×	body	1280	valid
14.0ms	33×	body	640	valid
8.0ms	17×	body	320	valid
6.0ms	2×	body	5120	valid
5.0ms	52×	body	80	valid
3.0ms	13×	body	160	valid

simplify81.0ms

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

prune6.0ms

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: 48.8b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
35.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite21.0ms

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:

7.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(* (* (+ (* y 2.0) 1.0) z) 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:

8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
14.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
12.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

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

prune258.0ms

Filtered

50 candidates to 66 candidates (-32.0%)

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: 43.8b

Counts

67 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
35.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite21.0ms

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)
3.0ms	(* 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))

series47.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ (* y 2.0) 1.0) z)
21.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
12.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (10.0ms)

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

prune286.0ms

Filtered

54 candidates to 77 candidates (-42.6%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	61	16	77
Fresh	6	12	18
Picked	1	0	1
Done	0	0	0
Total	68	28	96

Merged error: 41.7b

Counts

96 → 28

localize2.0ms

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

prune155.0ms

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: 41.7b

Counts

28 → 28

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
2.4b	(* (+ (* y 2.0) 1.0) (* z t))
35.4b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite15.0ms

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))

series42.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
8.0ms	(* (+ (* y 2.0) 1.0) (* z t))
12.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify95.0ms

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

prune79.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	45	9	54
Fresh	5	21	26
Picked	1	0	1
Done	0	1	1
Total	51	31	82

Merged error: 41.6b

Counts

82 → 31

regimes3.0s

Accuracy

0% (4.3b remaining)

Error of 44.2b against oracle of 39.9b and baseline of 44.2b

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

sample5.3s

Algorithm

intervals

Results

2.1s	1782×	body	2560	valid
1.5s	2263×	body	1280	valid
522.0ms	1192×	body	640	valid
198.0ms	1889×	body	80	valid
182.0ms	563×	body	320	valid
105.0ms	41×	body	5120	valid
61.0ms	270×	body	160	valid

Details

sample194.0ms

simplify81.0ms

prune6.0ms

localize24.0ms

rewrite21.0ms

series43.0ms

simplify48.0ms

prune258.0ms

localize16.0ms

rewrite21.0ms

series47.0ms

simplify48.0ms

prune286.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune155.0ms

localize15.0ms

rewrite15.0ms

series42.0ms

simplify95.0ms

prune79.0ms

regimes3.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.3s

Profiling