Details

sample174.0ms

Algorithm

intervals

Results

74.0ms	64×	body	2560	valid
51.0ms	85×	body	1280	valid
14.0ms	35×	body	640	valid
5.0ms	56×	body	80	valid
3.0ms	1×	body	5120	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify106.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.4b

localize31.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (+ (* a 2.0) 1.0) b) t)
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
37.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite39.0ms

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:

17.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (52.0ms)

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

prune449.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 42.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
37.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite35.0ms

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:

11.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series205.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* y 2.0) 1.0) z)
78.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (43.0ms)

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

prune459.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 41.6b

localize7.0ms

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

prune130.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 41.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
2.6b	(* (+ (* y 2.0) 1.0) (* z t))
37.0b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite21.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

3.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
15.0ms	(* (+ (* y 2.0) 1.0) (* z t))
2.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series165.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
48.0ms	(* (+ (* y 2.0) 1.0) (* z t))
40.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	254	445
1	1027	372
2	3939	372
3	5001	372

prune216.0ms

Filtered

60 candidates to 45 candidates (75.0%)

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 41.5b

regimes2.2s

Accuracy

0% (4.4b remaining)

Error of 44.6b against oracle of 40.2b and baseline of 44.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	1851×	body	2560	valid
1.4s	2263×	body	1280	valid
474.0ms	1198×	body	640	valid
180.0ms	1841×	body	80	valid
159.0ms	570×	body	320	valid
109.0ms	42×	body	5120	valid
54.0ms	235×	body	160	valid