Details

sample266.0ms

Algorithm

intervals

Results

99.0ms	65×	body	2560	valid
55.0ms	41×	body	640	valid
48.0ms	60×	body	1280	valid
15.0ms	5×	body	5120	valid
9.0ms	20×	body	320	valid
7.0ms	57×	body	80	valid
2.0ms	8×	body	160	valid

simplify3.6s

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: 46.9b

localize45.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* (fma a 2.0 1.0) b) t)
2.7b	(* t (* (fma y 2.0 1.0) z))
33.2b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
36.6b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite46.0ms

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:

19.0ms	(* (* (fma a 2.0 1.0) b) t)
17.0ms	(* t (* (fma y 2.0 1.0) z))
4.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
4.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series221.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* (fma a 2.0 1.0) b) t)
63.0ms	(* t (* (fma y 2.0 1.0) z))
32.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
61.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify3.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	118	846
1	259	834
2	966	694
3	4816	678
done	5000	678

prune527.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma a 2.0 1.0) b)
0.1b	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
1.8b	(* (* (fma a 2.0 1.0) b) t)
36.6b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(* (fma a 2.0 1.0) b)
21.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
19.0ms	(* (* (fma a 2.0 1.0) b) t)
4.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series253.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (fma a 2.0 1.0) b)
113.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
47.0ms	(* (* (fma a 2.0 1.0) b) t)
46.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.3s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	126	1142
1	271	1049
2	872	825
3	3266	813
done	5001	813

prune508.0ms

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 40.7b

localize1.0ms

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

prune190.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 40.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0)) (* x (cos (/ 0 16.0))))
2.2b	(* (* t b) (fma a 2.0 1.0))
36.7b	(cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 51

Calls

3 calls:

21.0ms	(* (cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0)) (* x (cos (/ 0 16.0))))
32.0ms	(* (* t b) (fma a 2.0 1.0))
6.0ms	(cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0))

series202.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* (cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0)) (* x (cos (/ 0 16.0))))
74.0ms	(* (* t b) (fma a 2.0 1.0))
30.0ms	(cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0))

simplify2.4s

Counts

60 → 60

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	108	1045
1	247	874
2	841	676
3	3346	676
done	5002	676

prune221.0ms

Pruning

40 alts after pruning (38 fresh and 2 done)

Merged error: 40.2b

regimes1.2s

Accuracy

0% (4.6b remaining)

Error of 44.2b against oracle of 39.6b and baseline of 44.2b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.4s	1815×	body	2560	valid
2.9s	2248×	body	1280	valid
700.0ms	1169×	body	640	valid
328.0ms	566×	body	320	valid
310.0ms	1898×	body	80	valid
122.0ms	44×	body	5120	valid
61.0ms	260×	body	160	valid