Details

sample254.0ms

Algorithm

intervals

Results

72.0ms	312×	body	80	nan
45.0ms	58×	body	1280	valid
23.0ms	173×	body	80	valid
21.0ms	32×	body	640	valid
13.0ms	11×	body	2560	valid
5.0ms	13×	body	320	valid
1.0ms	3×	body	160	valid

simplify94.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	110
6	110
5	108
4	100
3	82
2	58
1	33
0	18

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ (* z t) 3.0)
0.3b	(/ a (* b 3.0))
22.6b	(cos (- y (/ (* z t) 3.0)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`prod-diff`
19×	`add-cbrt-cube` `add-exp-log`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

58.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms	(/ (* z t) 3.0)
13.0ms	(/ a (* b 3.0))
41.0ms	(cos (- y (/ (* z t) 3.0)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
31.0ms	(/ (* z t) 3.0)
25.0ms	(/ a (* b 3.0))
61.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2925
1	709
0	327

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.8b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.9b	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
27.3b	(cos (* (/ t 3.0) z))
27.7b	(sin (/ t (/ 3.0 z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `div-inv`

Counts

4 → 61

Calls

4 calls:

10.0ms	(/ a (* b 3.0))
43.0ms	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
11.0ms	(cos (* (/ t 3.0) z))
12.0ms	(sin (/ t (/ 3.0 z)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ a (* b 3.0))
155.0ms	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
23.0ms	(cos (* (/ t 3.0) z))
36.0ms	(sin (/ t (/ 3.0 z)))

simplify1.9s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3902
2	845
1	267
0	127

prune997.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 13.8b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.9b	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
27.7b	(sin (/ t (/ 3.0 z)))
27.9b	(cos (* t (* 0.3333333333333333 z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `div-inv`

Counts

4 → 61

Calls

4 calls:

8.0ms	(/ a (* b 3.0))
29.0ms	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
7.0ms	(sin (/ t (/ 3.0 z)))
17.0ms	(cos (* t (* 0.3333333333333333 z)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
137.0ms	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
23.0ms	(sin (/ t (/ 3.0 z)))
15.0ms	(cos (* t (* 0.3333333333333333 z)))

simplify1.9s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	3838
2	848
1	273
0	127

prune1.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.8b

localize82.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0)))
0.9b	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
27.7b	(sin (/ t (/ 3.0 z)))
27.9b	(cos (* t (* 0.3333333333333333 z)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`

Counts

4 → 61

Calls

4 calls:

90.0ms	(* (sin y) (* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0)))
46.0ms	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
11.0ms	(sin (/ t (/ 3.0 z)))
30.0ms	(cos (* t (* 0.3333333333333333 z)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (sin y) (* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0)))
115.0ms	(* (sin (/ t (/ 3.0 z))) (* (sqrt x) 2.0))
29.0ms	(sin (/ t (/ 3.0 z)))
20.0ms	(cos (* t (* 0.3333333333333333 z)))

simplify891.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	893
1	255
0	112

prune878.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.8b

regimes3.9s

Accuracy

0% (4.8b remaining)

Error of 20.7b against oracle of 15.9b and baseline of 20.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	37
1	37
0	29

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.2s	9012×	body	80	nan
1.9s	1625×	body	1280	valid
842.0ms	5512×	body	80	valid
626.0ms	928×	body	640	valid
484.0ms	376×	body	2560	valid
208.0ms	449×	body	320	valid
61.0ms	225×	body	160	valid