Details

sample350.0ms

Algorithm

intervals

Results

131.0ms	69×	body	2560	valid
118.0ms	66×	body	1280	valid
32.0ms	43×	body	640	valid
9.0ms	55×	body	80	valid
6.0ms	12×	body	320	valid
4.0ms	1×	body	5120	valid
4.0ms	10×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	234	25
4	507	25
5	910	25
6	1243	25
7	1453	25
8	1551	25
9	1742	25
10	1778	25
done	1778	25

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.9b

localize63.0ms

Local error

Found 4 expressions with local error:

2.7b	(* t (* (fma y 2.0 1.0) z))
2.9b	(* (* (fma a 2.0 1.0) b) t)
35.1b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
35.7b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite63.0ms

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:

24.0ms	(* t (* (fma y 2.0 1.0) z))
26.0ms	(* (* (fma a 2.0 1.0) b) t)
6.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
6.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series252.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* t (* (fma y 2.0 1.0) z))
67.0ms	(* (* (fma a 2.0 1.0) b) t)
58.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
54.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify1.0s

Counts

70 → 70

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	118	846
1	266	834
2	1232	694
done	5001	684

prune960.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 43.1b

localize42.0ms

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))
2.9b	(* (* (fma a 2.0 1.0) b) t)
35.1b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite82.0ms

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:

13.0ms	(* (fma a 2.0 1.0) b)
29.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x 1))
30.0ms	(* (* (fma a 2.0 1.0) b) t)
7.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series376.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (fma a 2.0 1.0) b)
157.0ms	(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x 1))
72.0ms	(* (* (fma a 2.0 1.0) b) t)
71.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify1.5s

Counts

82 → 82

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	126	1084
1	288	1015
2	1603	847
done	5002	841

prune1.1s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 41.2b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune377.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 41.2b

localize48.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0)) (* x 1))
3.6b	(* (* t b) (fma a 2.0 1.0))
35.1b	(cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
8×	`prod-exp`
6×	`pow-prod-down` `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` `1-exp`

Counts

3 → 52

Calls

3 calls:

34.0ms	(* (cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0)) (* x 1))
31.0ms	(* (* t b) (fma a 2.0 1.0))
10.0ms	(cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0))

series304.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(* (cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0)) (* x 1))
89.0ms	(* (* t b) (fma a 2.0 1.0))
65.0ms	(cos (/ (pow (* (* t b) (fma a 2.0 1.0)) 1) 16.0))

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	108	989
1	270	848
2	1508	708
done	5000	694

prune469.0ms

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 41.0b

regimes2.7s

Accuracy

0% (4.6b remaining)

Error of 44.3b against oracle of 39.7b and baseline of 44.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample12.1s

Algorithm

intervals

Results

5.9s	1848×	body	2560	valid
3.1s	2252×	body	1280	valid
1.2s	1199×	body	640	valid
423.0ms	1890×	body	80	valid
413.0ms	523×	body	320	valid
152.0ms	41×	body	5120	valid
87.0ms	247×	body	160	valid