Details

sample270.0ms

Algorithm

intervals

Results

80.0ms	53×	body	2560	valid
51.0ms	59×	body	1280	valid
48.0ms	72×	body	80	valid
30.0ms	41×	body	640	valid
14.0ms	4×	body	5120	valid
8.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify3.0s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.1b

localize37.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
3.7b	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
31.5b	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
34.0b	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

rewrite82.0ms

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:

25.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
23.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
13.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
19.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
77.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
31.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
29.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	2522
1	436
0	182

prune792.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 38.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
2.6b	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
31.5b	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

38.0ms	(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
22.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
12.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
86.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
29.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

simplify771.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1903
1	338
0	138

prune642.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 37.0b

localize2.0ms

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

prune282.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 37.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* b (* t 0.0625))
0.1b	(* (* 1 x) (cos (* b (* t 0.0625))))
25.9b	(cos (* b (* t 0.0625)))

rewrite86.0ms

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` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`1-exp`

Counts

3 → 50

Calls

3 calls:

20.0ms	(* b (* t 0.0625))
33.0ms	(* (* 1 x) (cos (* b (* t 0.0625))))
31.0ms	(cos (* b (* t 0.0625)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* b (* t 0.0625))
42.0ms	(* (* 1 x) (cos (* b (* t 0.0625))))
19.0ms	(cos (* b (* t 0.0625)))

simplify567.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	762
1	199
0	86

prune316.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 36.9b

regimes4.5s

Accuracy

7.9% (4.6b remaining)

Error of 44.6b against oracle of 40.0b and baseline of 45.0b

bsearch453.0ms

Steps

Iters	Range		Point
9	2.3858187560010408e-154	1.61092969088852e-146	1.6675167522129109e-147
9	-9.811585856461368e-26	-6.062525441755323e-31	-2.8806213041393795e-30

simplify6.0ms

Iterations

Iter	Nodes
done	40
1	40
0	30

end0.0ms

sample8.8s

Algorithm

intervals

Results

4.0s	1898×	body	2560	valid
2.2s	2291×	body	1280	valid
1.5s	1165×	body	640	valid
371.0ms	571×	body	320	valid
236.0ms	1775×	body	80	valid
146.0ms	38×	body	5120	valid
66.0ms	262×	body	160	valid