Details

sample214.0ms

Algorithm

intervals

Results

46.0ms	178×	body	80	valid
38.0ms	360×	body	80	nan
32.0ms	56×	body	1280	valid
15.0ms	17×	body	2560	valid
8.0ms	18×	body	640	valid
4.0ms	12×	body	320	valid
2.0ms	8×	body	160	valid

simplify79.0ms

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize36.0ms

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)))

rewrite59.0ms

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:

8.0ms	(/ (* z t) 3.0)
6.0ms	(/ a (* b 3.0))
29.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
14.0ms	(cos (- y (/ (* z t) 3.0)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* z t) 3.0)
28.0ms	(/ a (* b 3.0))
122.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
40.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1353
1	420
0	170

prune798.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.6b

localize76.0ms

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))

rewrite87.0ms

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:

10.0ms	(/ a (* b 3.0))
58.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
12.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series365.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ a (* b 3.0))
293.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
26.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (/ (* z t) 3.0))

simplify2.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1608
1	445
0	162

prune839.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.6b

localize75.0ms

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))

rewrite25.0ms

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	(sin (/ (* z t) 3.0))
12.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series87.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sin (/ (* z t) 3.0))
24.0ms	(sin (/ (* z t) 3.0))
24.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (/ (* z t) 3.0))

simplify2.6s

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

prune738.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.6b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`log-pow` `add-log-exp`
3×	`log-prod` `exp-prod` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `rem-log-exp` `associate-l` `*-commutative` `flip-+`

Counts

4 → 51

Calls

4 calls:

60.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (log (exp (cos (/ (* z t) 3.0))))) (* (sin y) (sin (/ (* z t) 3.0)))))
8.0ms	(log (exp (cos (/ (* z t) 3.0))))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series352.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (log (exp (cos (/ (* z t) 3.0))))) (* (sin y) (sin (/ (* z t) 3.0)))))
16.0ms	(log (exp (cos (/ (* z t) 3.0))))
21.0ms	(sin (/ (* z t) 3.0))
17.0ms	(cos (/ (* z t) 3.0))

simplify1.8s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1247
1	343
0	127

prune675.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.5b

regimes5.5s

Accuracy

64.7% (1.3b remaining)

Error of 17.7b against oracle of 16.4b and baseline of 20.1b

bsearch2.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	52
1	52
0	40

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.1s	9043×	body	80	nan
1.3s	1552×	body	1280	valid
895.0ms	5611×	body	80	valid
799.0ms	866×	body	640	valid
468.0ms	400×	body	2560	valid
242.0ms	466×	body	320	valid
51.0ms	201×	body	160	valid