Details

sample186.0ms

Algorithm

intervals

Results

78.0ms	65×	body	2560	valid
41.0ms	63×	body	1280	valid
15.0ms	35×	body	640	valid
7.0ms	65×	body	80	valid
6.0ms	18×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	9×	body	160	valid

simplify82.0ms

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: 44.8b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.4b	(* (* (+ (* a 2.0) 1.0) b) t)
33.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) 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	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series45.0ms

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

prune275.0ms

Filtered

50 candidates to 66 candidates (-32.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	46	20	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	20	67

Merged error: 40.7b

Counts

67 → 20

localize16.0ms

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)))
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
33.6b	(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)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series48.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

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

prune280.0ms

Filtered

54 candidates to 77 candidates (-42.6%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	58	19	77
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	66	31	97

Merged error: 39.0b

Counts

97 → 31

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

prune159.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	30	30
Picked	1	1
Done	0	0
Total	31	31

Merged error: 39.0b

Counts

31 → 31

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
2.4b	(* (+ (* y 2.0) 1.0) (* z t))
33.6b	(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))
2.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series43.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
10.0ms	(* (+ (* y 2.0) 1.0) (* z t))
12.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify92.0ms

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

prune78.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	6	23	29
Picked	1	0	1
Done	0	1	1
Total	55	30	85

Merged error: 39.0b

Counts

85 → 30

regimes3.0s

Accuracy

0% (4.3b remaining)

Error of 44.6b against oracle of 40.3b and baseline of 44.6b

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

sample5.4s

Algorithm

intervals

Results

2.2s	1823×	body	2560	valid
1.5s	2263×	body	1280	valid
538.0ms	1194×	body	640	valid
201.0ms	1840×	body	80	valid
184.0ms	561×	body	320	valid
115.0ms	43×	body	5120	valid
61.0ms	276×	body	160	valid

Details

sample186.0ms

simplify82.0ms

prune5.0ms

localize24.0ms

rewrite21.0ms

series45.0ms

simplify49.0ms

prune275.0ms

localize16.0ms

rewrite22.0ms

series48.0ms

simplify40.0ms

prune280.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune159.0ms

localize13.0ms

rewrite14.0ms

series43.0ms

simplify92.0ms

prune78.0ms

regimes3.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.4s

Profiling