Details

sample351.0ms

Algorithm

intervals

Results

146.0ms	86×	body	1280	valid
105.0ms	54×	body	2560	valid
28.0ms	36×	body	640	valid
9.0ms	19×	body	320	valid
9.0ms	55×	body	80	valid
2.0ms	6×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	1777
10	1777
9	1741
8	1551
7	1453
6	1243
5	902
4	507
3	233
2	101
1	44
0	23

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 46.8b

localize53.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
2.0b	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
36.4b	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))
36.6b	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
10×	`prod-exp` `cbrt-unprod`
8×	`fma-udef`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `add-cube-cbrt`
4×	`distribute-rgt-in` `expm1-log1p-u` `cos-sum` `distribute-lft-in` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

23.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
37.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
24.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))
26.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
80.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
41.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))
42.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	2516
1	436
0	182

prune993.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0))) x)
2.0b	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
36.4b	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `fma-udef`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `cos-sum` `distribute-lft-in` `associate-l/` `-commutative`
1×	`cbrt-undiv` `div-exp` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

24.0ms	(* (cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0))) x)
30.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
15.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0))) x)
75.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
41.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

simplify1.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1719
1	309
0	129

prune798.0ms

Pruning

36 alts after pruning (36 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

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune330.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 40.6b

localize49.0ms

Local error

Found 4 expressions with local error:

28.2b	(sin (* (* (/ z 16.0) t) 1.0))
28.3b	(cos (* (* (/ z 16.0) t) 1.0))
30.6b	(sin (* (* (/ z 16.0) t) (* 2.0 y)))
30.9b	(cos (* (* (/ z 16.0) t) (* 2.0 y)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

24.0ms	(sin (* (* (/ z 16.0) t) 1.0))
19.0ms	(cos (* (* (/ z 16.0) t) 1.0))
23.0ms	(sin (* (* (/ z 16.0) t) (* 2.0 y)))
36.0ms	(cos (* (* (/ z 16.0) t) (* 2.0 y)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sin (* (* (/ z 16.0) t) 1.0))
20.0ms	(cos (* (* (/ z 16.0) t) 1.0))
28.0ms	(sin (* (* (/ z 16.0) t) (* 2.0 y)))
26.0ms	(cos (* (* (/ z 16.0) t) (* 2.0 y)))

simplify2.8s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
8	4732
7	1853
6	1071
5	727
4	484
3	302
2	165
1	90
0	64

prune490.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 40.5b

regimes5.6s

Accuracy

0% (4.7b remaining)

Error of 43.8b against oracle of 39.1b and baseline of 43.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	3

end0.0ms

sample9.7s

Algorithm

intervals

Results

3.3s	1753×	body	2560	valid
3.3s	2292×	body	1280	valid
1.4s	1122×	body	640	valid
362.0ms	1963×	body	80	valid
335.0ms	584×	body	320	valid
151.0ms	245×	body	160	valid
139.0ms	41×	body	5120	valid