Details

sample168.0ms

Algorithm

intervals

Results

56.0ms	51×	body	2560	valid
42.0ms	71×	body	1280	valid
22.0ms	48×	body	640	valid
15.0ms	6×	body	5120	valid
5.0ms	59×	body	80	valid
5.0ms	16×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	100	25
3	211	25
4	385	25
5	608	25
6	850	25
7	1114	25
8	1224	25
9	1298	25
10	1326	25
done	1326	25

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (fma a 2.0 1.0) b) t)
2.2b	(* t (* (fma y 2.0 1.0) z))
34.3b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
36.3b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite17.0ms

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:

7.0ms	(* (* (fma a 2.0 1.0) b) t)
6.0ms	(* t (* (fma y 2.0 1.0) z))
1.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
2.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (fma a 2.0 1.0) b) t)
46.0ms	(* t (* (fma y 2.0 1.0) z))
35.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
25.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	118	846
1	261	834
2	969	694
3	4064	678
done	5000	678

prune386.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 42.0b

localize18.0ms

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))))
1.0b	(* (* (fma a 2.0 1.0) b) t)
34.3b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite19.0ms

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:

3.0ms	(* (fma a 2.0 1.0) b)
6.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
7.0ms	(* (* (fma a 2.0 1.0) b) t)
1.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series199.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (fma a 2.0 1.0) b)
82.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
44.0ms	(* (* (fma a 2.0 1.0) b) t)
35.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	126	1142
1	273	1049
2	998	859
3	3757	813
done	5001	813

prune384.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.6b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune120.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.9b	(* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t)))
34.0b	(cos (/ (* (* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite21.0ms

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:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
14.0ms	(* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t)))
2.0ms	(cos (/ (* (* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series597.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt t)
180.0ms	(cbrt t)
177.0ms	(* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t)))
53.0ms	(cos (/ (* (* (* (fma a 2.0 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify2.1s

Counts

71 → 71

Iterations

Useful iterations: 3 (756.0ms)

Iter	Nodes	Cost
0	103	870
1	244	845
2	862	615
3	4286	557
done	5000	557

prune257.0ms

Pruning

44 alts after pruning (42 fresh and 2 done)

Merged error: 40.4b

regimes1.5s

Accuracy

0% (4.5b remaining)

Error of 44.5b against oracle of 40.0b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	11	6
done	11	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	1843×	body	2560	valid
1.3s	2295×	body	1280	valid
437.0ms	1163×	body	640	valid
151.0ms	1848×	body	80	valid
144.0ms	543×	body	320	valid
80.0ms	33×	body	5120	valid
47.0ms	275×	body	160	valid