Details

sample360.0ms

Algorithm

intervals

Results

140.0ms	71×	body	2560	valid
94.0ms	79×	body	1280	valid
66.0ms	37×	body	640	valid
8.0ms	47×	body	80	valid
8.0ms	14×	body	320	valid
3.0ms	8×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	232	25
4	436	25
5	728	25
6	1012	25
7	1194	25
8	1292	25
9	1475	25
10	1511	25
done	1511	25

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 49.8b

localize33.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* (fma a 2.0 1.0) b) t)
2.7b	(* t (* (fma y 2.0 1.0) z))
36.0b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
40.0b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`

Counts

4 → 58

Calls

4 calls:

26.0ms	(* (* (fma a 2.0 1.0) b) t)
23.0ms	(* t (* (fma y 2.0 1.0) z))
4.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
4.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (fma a 2.0 1.0) b) t)
52.0ms	(* t (* (fma y 2.0 1.0) z))
49.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
40.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify3.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	118	846
1	259	834
2	966	694
3	4795	678
done	5000	678

prune537.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 44.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma a 2.0 1.0) b)
0.2b	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x 1))
2.5b	(* (* (fma a 2.0 1.0) b) t)
36.0b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`pow1` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`prod-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l` `pow-prod-down` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`1-exp` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

12.0ms	(* (fma a 2.0 1.0) b)
29.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x 1))
29.0ms	(* (* (fma a 2.0 1.0) b) t)
6.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series301.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (fma a 2.0 1.0) b)
139.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x 1))
49.0ms	(* (* (fma a 2.0 1.0) b) t)
53.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.6s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	126	1084
1	254	1013
2	847	839
3	3275	827
done	5002	827

prune450.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 42.7b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune175.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 42.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.6b	(* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t)))
36.4b	(cos (/ (* (* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
34.0ms	(* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t)))
5.0ms	(cos (/ (* (* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series651.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt t)
199.0ms	(cbrt t)
184.0ms	(* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t)))
62.0ms	(cos (/ (* (* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify2.6s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	103	870
1	237	845
2	847	615
3	4269	557
done	5000	557

prune259.0ms

Pruning

41 alts after pruning (39 fresh and 2 done)

Merged error: 42.4b

regimes1.4s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 39.9b and baseline of 44.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	8	8
1	11	4
done	11	1

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.5s	2322×	body	1280	valid
3.4s	1851×	body	2560	valid
824.0ms	1165×	body	640	valid
277.0ms	517×	body	320	valid
273.0ms	1869×	body	80	valid
105.0ms	35×	body	5120	valid
65.0ms	241×	body	160	valid