Details

sample143.0ms

Algorithm

intervals

Results

32.0ms	360×	body	80	nan
28.0ms	56×	body	1280	valid
15.0ms	17×	body	2560	valid
14.0ms	178×	body	80	valid
12.0ms	18×	body	640	valid
3.0ms	12×	body	320	valid
1.0ms	8×	body	160	valid

simplify83.0ms

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: 18.7b

localize46.0ms

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))))
23.8b	(cos (- y (/ (* z t) 3.0)))

rewrite64.0ms

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` `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 → 72

Calls

4 calls:

10.0ms	(/ (* z t) 3.0)
8.0ms	(/ a (* b 3.0))
26.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(cos (- y (/ (* z t) 3.0)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* z t) 3.0)
26.0ms	(/ a (* b 3.0))
137.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
53.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1353
1	420
0	170

prune668.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.6b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
27.3b	(sin (/ (* z t) 3.0))
27.5b	(cos (/ (* z t) 3.0))

rewrite82.0ms

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×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-r/` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

9.0ms	(/ a (* b 3.0))
63.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series337.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ a (* b 3.0))
273.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
25.0ms	(sin (/ (* z t) 3.0))
17.0ms	(cos (/ (* z t) 3.0))

simplify1.7s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1608
1	445
0	162

prune878.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.6b

localize71.0ms

Local error

Found 4 expressions with local error:

27.3b	(sin (/ (* z t) 3.0))
27.3b	(sin (/ (* z t) 3.0))
27.3b	(sin (/ (* z t) 3.0))
27.5b	(cos (/ (* z t) 3.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

3.0ms	(sin (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sin (/ (* z t) 3.0))
27.0ms	(sin (/ (* z t) 3.0))
24.0ms	(sin (/ (* z t) 3.0))
13.0ms	(cos (/ (* z t) 3.0))

simplify2.5s

Counts

40 → 40

Iterations

Iter	Nodes
done	5007
9	2792
8	846
7	360
6	197
5	107
4	75
3	58
2	47
1	36
0	27

prune624.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.6b

localize93.0ms

Local error

Found 4 expressions with local error:

27.3b	(sin (/ (* z t) 3.0))
27.5b	(cos (/ (* z t) 3.0))
27.5b	(cos (/ (* z t) 3.0))
27.5b	(cos (/ (* z t) 3.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series72.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sin (/ (* z t) 3.0))
15.0ms	(cos (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify2.5s

Counts

40 → 40

Iterations

Iter	Nodes
done	5007
9	2792
8	846
7	360
6	197
5	107
4	75
3	58
2	47
1	36
0	27

prune360.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.5b

regimes5.9s

Accuracy

64.1% (1.4b remaining)

Error of 17.7b against oracle of 16.3b and baseline of 20.1b

bsearch5.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	54
1	54
0	41

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.0s	9043×	body	80	nan
1.4s	1552×	body	1280	valid
869.0ms	400×	body	2560	valid
833.0ms	866×	body	640	valid
744.0ms	5611×	body	80	valid
178.0ms	466×	body	320	valid
48.0ms	201×	body	160	valid