Details

sample178.0ms

Algorithm

intervals

Results

61.0ms	52×	body	2560	valid
48.0ms	74×	body	1280	valid
16.0ms	37×	body	640	valid
10.0ms	21×	body	320	valid
9.0ms	3×	body	5120	valid
6.0ms	63×	body	80	valid
1.0ms	6×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	100	25
3	212	25
4	394	25
5	630	25
6	898	25
7	1159	25
8	1269	25
9	1343	25
10	1371	25
done	1371	25

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.7b

localize27.0ms

Local error

Found 4 expressions with local error:

1.4b	(* t (* (fma y 2.0 1.0) z))
2.0b	(* (* (fma a 2.0 1.0) b) t)
31.5b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
36.4b	(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:

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

series186.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* t (* (fma y 2.0 1.0) z))
50.0ms	(* (* (fma a 2.0 1.0) b) t)
45.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
36.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (461.0ms)

Iter	Nodes	Cost
0	118	846
1	263	834
2	1007	694
3	4580	678
done	5000	678

prune415.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 41.2b

localize15.0ms

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 1))
2.0b	(* (* (fma a 2.0 1.0) b) t)
31.5b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite21.0ms

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:

3.0ms	(* (fma a 2.0 1.0) b)
6.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x 1))
9.0ms	(* (* (fma a 2.0 1.0) b) t)
2.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series220.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (fma a 2.0 1.0) b)
87.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x 1))
48.0ms	(* (* (fma a 2.0 1.0) b) t)
39.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.5s

Counts

82 → 82

Iterations

Useful iterations: 3 (537.0ms)

Iter	Nodes	Cost
0	126	1084
1	283	1013
2	1001	835
3	3915	827
done	5001	827

prune366.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.0b

localize1.0ms

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

prune123.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cos (/ (* (fma a 2.0 1.0) (* t b)) 16.0)) (* x 1))
2.4b	(* (fma a 2.0 1.0) (* t b))
31.5b	(cos (/ (* (fma a 2.0 1.0) (* t b)) 16.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

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

series161.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* (cos (/ (* (fma a 2.0 1.0) (* t b)) 16.0)) (* x 1))
42.0ms	(* (fma a 2.0 1.0) (* t b))
38.0ms	(cos (/ (* (fma a 2.0 1.0) (* t b)) 16.0))

simplify1.2s

Counts

59 → 59

Iterations

Useful iterations: 3 (295.0ms)

Iter	Nodes	Cost
0	103	880
1	239	817
2	739	669
3	2411	661
done	5000	661

prune180.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 39.8b

regimes997.0ms

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.8b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.0s	1769×	body	2560	valid
1.6s	2278×	body	1280	valid
485.0ms	1193×	body	640	valid
179.0ms	1900×	body	80	valid
170.0ms	576×	body	320	valid
105.0ms	41×	body	5120	valid
50.0ms	243×	body	160	valid