Details

sample271.0ms

Algorithm

intervals

Results

62.0ms	60×	body	1280	valid
59.0ms	298×	body	80	nan
41.0ms	10×	body	2560	valid
35.0ms	185×	body	80	valid
31.0ms	25×	body	640	valid
5.0ms	9×	body	320	valid
2.0ms	5×	body	160	valid

simplify88.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
6	86
5	84
4	78
3	67
2	50
1	32
0	18

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.7b	(cos (- y (/ (* z t) 3.0)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-/r` `div-exp` `insert-posit16` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `clear-num` `frac-2neg` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 76

Calls

4 calls:

14.0ms	(/ (* z t) 3.0)
10.0ms	(/ a (* b 3.0))
41.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
12.0ms	(cos (- y (/ (* z t) 3.0)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* z t) 3.0)
30.0ms	(/ a (* b 3.0))
135.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
47.0ms	(cos (- y (/ (* z t) 3.0)))

simplify658.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2008
2	1369
1	426
0	174

prune600.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b	(sin (/ (* z t) 3.0))
26.5b	(cos (/ (* z t) 3.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-r` `associate-l` `associate-r/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 64

Calls

4 calls:

32.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
41.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(sin (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))

series281.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
102.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
19.0ms	(sin (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))

simplify764.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2003
2	1250
1	346
0	134

prune660.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 14.6b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.5b	(cos (/ (* z t) 3.0))
26.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-r` `associate-l` `associate-r/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 64

Calls

4 calls:

33.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
86.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms	(cos (/ (* z t) 3.0))
25.0ms	(sin (* 0.3333333333333333 (* t z)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
138.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
13.0ms	(cos (/ (* z t) 3.0))
22.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify697.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2004
2	1297
1	351
0	137

prune789.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.5b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.6b	(cos (* 0.3333333333333333 (* t z)))
26.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-r` `associate-l` `associate-r/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 64

Calls

4 calls:

105.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
119.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
19.0ms	(cos (* 0.3333333333333333 (* t z)))
27.0ms	(sin (* 0.3333333333333333 (* t z)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
129.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
11.0ms	(cos (* 0.3333333333333333 (* t z)))
20.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify623.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2001
2	1309
1	340
0	129

prune532.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.5b

regimes4.8s

Accuracy

53.5% (1.7b remaining)

Error of 17.6b against oracle of 15.8b and baseline of 19.5b

bsearch3.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	55
1	55
0	39

end0.0ms

sample8.3s

Algorithm

intervals

Results

2.3s	9020×	body	80	nan
2.0s	1580×	body	1280	valid
1.2s	5637×	body	80	valid
1.1s	932×	body	640	valid
578.0ms	385×	body	2560	valid
244.0ms	435×	body	320	valid
76.0ms	218×	body	160	valid