Details

sample176.0ms

Algorithm

intervals

Results

59.0ms	52×	body	2560	valid
55.0ms	79×	body	1280	valid
20.0ms	48×	body	640	valid
6.0ms	21×	body	320	valid
5.0ms	48×	body	80	valid
3.0ms	1×	body	5120	valid
2.0ms	7×	body	160	valid

simplify103.0ms

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: 49.3b

localize23.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
34.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0b	(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:

16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (45.0ms)

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

prune423.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 43.8b

localize16.0ms

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)))
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
38.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite32.0ms

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

series186.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* y 2.0) 1.0) z)
70.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (38.0ms)

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

prune420.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 42.1b

localize5.0ms

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

prune122.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 42.1b

localize20.0ms

Local error

Found 4 expressions with local error:

16.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
37.9b	(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))

rewrite46.0ms

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:

14.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
13.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
1.0ms	(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))

series475.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
144.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
148.0ms	(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 (63.0ms)

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

prune355.0ms

Filtered

60 candidates to 59 candidates (98.3%)

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 42.0b

regimes2.6s

Accuracy

0% (4.5b remaining)

Error of 44.3b against oracle of 39.8b and baseline of 44.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1842×	body	2560	valid
1.4s	2210×	body	1280	valid
469.0ms	1188×	body	640	valid
167.0ms	1900×	body	80	valid
157.0ms	552×	body	320	valid
118.0ms	46×	body	5120	valid
52.0ms	262×	body	160	valid