Details

sample178.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

72.0ms	58×	body	2560	valid
44.0ms	67×	body	1280	valid
14.0ms	33×	body	640	valid
10.0ms	4×	body	5120	valid
7.0ms	24×	body	320	valid
6.0ms	63×	body	80	valid
1.0ms	7×	body	160	valid

simplify77.0ms

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

prune8.0ms

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: 45.8b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.2b	(* (* (+ (* a 2.0) 1.0) b) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite40.0ms

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:

13.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
13.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series64.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
19.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
20.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

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

prune289.0ms

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: 40.9b

Counts

67 → 21

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite16.0ms

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-r*`
4×	`associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`add-log-exp`
2×	`*-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))

series47.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* 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))

simplify41.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	253	416
1	1224	342
2	5002	342

prune247.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	42	12	54
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	48	27	75

Merged error: 39.4b

Counts

75 → 27

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

prune146.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	26	26
Picked	1	1
Done	0	0
Total	27	27

Merged error: 39.4b

Counts

27 → 27

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))
33.0b	(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))

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))
13.0ms	(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

prune75.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	2	23	25
Picked	1	0	1
Done	0	1	1
Total	49	32	81

Merged error: 39.4b

Counts

81 → 32

regimes3.0s

Accuracy

0% (4.2b remaining)

Error of 44.6b against oracle of 40.5b 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

sample5.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

2.5s	1852×	body	2560	valid
1.6s	2235×	body	1280	valid
553.0ms	1187×	body	640	valid
203.0ms	1825×	body	80	valid
195.0ms	567×	body	320	valid
143.0ms	53×	body	5120	valid
67.0ms	281×	body	160	valid

Details

sample178.0ms

simplify77.0ms

prune8.0ms

localize39.0ms

rewrite40.0ms

series64.0ms

simplify45.0ms

prune289.0ms

localize17.0ms

rewrite16.0ms

series47.0ms

simplify41.0ms

prune247.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune146.0ms

localize13.0ms

rewrite14.0ms

series42.0ms

simplify92.0ms

prune75.0ms

regimes3.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.6s

Profiling