Details

analyze3.0ms

Algorithm: search

sample173.0ms

Algorithm

intervals

Results

60.0ms	50×	body	2560	valid
59.0ms	81×	body	1280	valid
16.0ms	36×	body	640	valid
10.0ms	2×	body	5120	valid
7.0ms	70×	body	80	valid
5.0ms	15×	body	320	valid
0.0ms	2×	body	160	valid

simplify89.0ms

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

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: 44.1b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
31.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
32.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite23.0ms

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
16.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
13.0ms	(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

prune266.0ms

Filtered

50 candidates to 66 candidates (-32.0%)

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: 39.6b

Counts

67 → 21

localize15.0ms

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)))
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
31.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite22.0ms

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))

series49.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ (* y 2.0) 1.0) z)
22.0ms	(* 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))

simplify78.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

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

prune306.0ms

Filtered

54 candidates to 77 candidates (-42.6%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	58	19	77
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	64	34	98

Merged error: 38.0b

Counts

98 → 34

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

prune178.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	33	33
Picked	1	1
Done	0	0
Total	34	34

Merged error: 38.0b

Counts

34 → 34

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
2.0b	(* (+ (* y 2.0) 1.0) (* z t))
31.5b	(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:

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))

series46.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* 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))

simplify107.0ms

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

prune81.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	5	27	32
Picked	1	0	1
Done	0	1	1
Total	53	35	88

Merged error: 37.9b

Counts

88 → 35

regimes3.2s

Accuracy

0% (4.4b remaining)

Error of 44.7b against oracle of 40.3b and baseline of 44.7b

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

analyze3.0ms

Algorithm: search

sample5.2s

Algorithm

intervals

Results

2.3s	1838×	body	2560	valid
1.6s	2268×	body	1280	valid
533.0ms	1174×	body	640	valid
196.0ms	1853×	body	80	valid
193.0ms	580×	body	320	valid
100.0ms	37×	body	5120	valid
57.0ms	250×	body	160	valid

Details

analyze3.0ms

sample173.0ms

simplify89.0ms

prune5.0ms

localize25.0ms

rewrite23.0ms

series47.0ms

simplify52.0ms

prune266.0ms

localize15.0ms

rewrite22.0ms

series49.0ms

simplify78.0ms

prune306.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune178.0ms

localize13.0ms

rewrite15.0ms

series46.0ms

simplify107.0ms

prune81.0ms

regimes3.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze3.0ms

sample5.2s

Profiling