Details

sample173.0ms

Algorithm

intervals

Results

77.0ms	66×	body	2560	valid
41.0ms	66×	body	1280	valid
14.0ms	34×	body	640	valid
8.0ms	3×	body	5120	valid
6.0ms	61×	body	80	valid
5.0ms	16×	body	320	valid
2.0ms	10×	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: 46.3b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
34.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.4b	(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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

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))

series150.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

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

prune396.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	53	21	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	21	75

Merged error: 41.6b

Counts

75 → 21

localize14.0ms

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)))
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
34.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite25.0ms

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)))
10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series182.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* y 2.0) 1.0) z)
65.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

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

prune357.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	65	20	85
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	70	36	106

Merged error: 40.2b

Counts

106 → 36

localize2.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune119.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	35	35
Picked	1	1
Done	0	0
Total	36	36

Merged error: 40.2b

Counts

36 → 36

localize21.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
20.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
20.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
34.6b	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 48

Calls

4 calls:

7.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
7.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
6.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
2.0ms	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

series471.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
143.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
147.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
35.0ms	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	273	906
1	796	834
2	2847	816
3	5001	708

prune271.0ms

Filtered

60 candidates to 59 candidates (98.3%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	2	32	34
Picked	1	0	1
Done	0	1	1
Total	55	41	96

Merged error: 40.1b

Counts

96 → 41

regimes2.2s

Accuracy

0% (4.4b remaining)

Error of 44.5b against oracle of 40.1b and baseline of 44.5b

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

sample5.0s

Algorithm

intervals

Results

2.1s	1887×	body	2560	valid
1.5s	2294×	body	1280	valid
501.0ms	1147×	body	640	valid
179.0ms	1859×	body	80	valid
160.0ms	518×	body	320	valid
110.0ms	43×	body	5120	valid
56.0ms	252×	body	160	valid