Details

sample172.0ms

Algorithm

intervals

Results

78.0ms	69×	body	2560	valid
41.0ms	67×	body	1280	valid
18.0ms	35×	body	640	valid
6.0ms	61×	body	80	valid
5.0ms	16×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 46.4b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
34.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite24.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(* (* (+ (* y 2.0) 1.0) z) 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))

series155.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune404.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	50	24	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	24	75

Merged error: 41.6b

Counts

75 → 24

localize13.0ms

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)))
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
34.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite24.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (+ (* y 2.0) 1.0) z)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series175.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* y 2.0) 1.0) z)
66.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	296	552
1	1322	461
2	5002	458

prune355.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	65	20	85
Fresh	6	17	23
Picked	1	0	1
Done	0	0	0
Total	72	37	109

Merged error: 39.9b

Counts

109 → 37

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune121.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	36	36
Picked	1	1
Done	0	0
Total	37	37

Merged error: 39.9b

Counts

37 → 37

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
2.2b	(* (* t z) (fma 2.0 y 1.0))
34.4b	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

rewrite12.0ms

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` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

4.0ms	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
5.0ms	(* (* t z) (fma 2.0 y 1.0))
2.0ms	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
51.0ms	(* (* t z) (fma 2.0 y 1.0))
23.0ms	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	390
1	1026	326
2	4815	326
3	5001	326

prune129.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	48	12	60
Fresh	11	24	35
Picked	1	0	1
Done	0	1	1
Total	60	37	97

Merged error: 39.6b

Counts

97 → 37

regimes2.0s

Accuracy

0% (4.6b remaining)

Error of 44.3b against oracle of 39.7b and baseline of 44.3b

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

sample5.1s

Algorithm

intervals

Results

2.2s	1826×	body	2560	valid
1.5s	2277×	body	1280	valid
526.0ms	1159×	body	640	valid
194.0ms	1896×	body	80	valid
182.0ms	562×	body	320	valid
94.0ms	36×	body	5120	valid
52.0ms	244×	body	160	valid

Details

sample172.0ms

simplify87.0ms

prune4.0ms

localize29.0ms

rewrite24.0ms

series155.0ms

simplify57.0ms

prune404.0ms

localize13.0ms

rewrite24.0ms

series175.0ms

simplify43.0ms

prune355.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune121.0ms

localize13.0ms

rewrite12.0ms

series136.0ms

simplify109.0ms

prune129.0ms

regimes2.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.1s

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