Details

sample185.0ms

Algorithm

intervals

Results

37.0ms	317×	body	80	nan
36.0ms	171×	body	80	valid
35.0ms	50×	body	1280	valid
18.0ms	18×	body	2560	valid
14.0ms	28×	body	640	valid
4.0ms	12×	body	320	valid
3.0ms	11×	body	160	valid

simplify109.0ms

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: 21.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.1b	(cos (- y (/ (* z t) 3.0)))

rewrite90.0ms

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:

15.0ms	(/ (* z t) 3.0)
11.0ms	(/ a (* b 3.0))
40.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.0ms	(cos (- y (/ (* z t) 3.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* z t) 3.0)
27.0ms	(/ a (* b 3.0))
127.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
51.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1369
1	426
0	174

prune658.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 18.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
29.8b	(sin (/ (* z t) 3.0))
30.1b	(cos (/ (* z t) 3.0))

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×	`prod-exp` `cbrt-unprod` `insert-posit16` `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 → 62

Calls

4 calls:

8.0ms	(/ a (* b 3.0))
60.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series315.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
263.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
18.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify1.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1620
1	451
0	166

prune802.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 18.2b

localize69.0ms

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)))))
29.8b	(sin (/ (* z t) 3.0))
30.1b	(cos (/ (* z t) 3.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
47×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
9×	`pow1`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r` `pow-prod-down` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `cos-mult` `*-commutative` `flip-+` `sin-mult` `associate-/l/`

Counts

4 → 111

Calls

4 calls:

15.0ms	(/ (/ a b) 3.0)
70.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series340.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (/ a b) 3.0)
280.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify2.0s

Counts

123 → 123

Iterations

Iter	Nodes
done	5004
2	2200
1	682
0	268

prune1.1s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 18.2b

localize79.0ms

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))))
29.8b	(sin (/ (* z t) 3.0))
30.1b	(cos (/ (* z t) 3.0))

rewrite83.0ms

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` `insert-posit16` `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 → 55

Calls

4 calls:

64.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (log (exp (cos (/ (* z t) 3.0))))) (* (sin y) (sin (/ (* z t) 3.0)))))
7.0ms	(log (exp (cos (/ (* z t) 3.0))))
5.0ms	(sin (/ (* z t) 3.0))
6.0ms	(cos (/ (* z t) 3.0))

series602.0ms

Counts

4 → 12

Calls

4 calls:

550.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (log (exp (cos (/ (* z t) 3.0))))) (* (sin y) (sin (/ (* z t) 3.0)))))
17.0ms	(log (exp (cos (/ (* z t) 3.0))))
21.0ms	(sin (/ (* z t) 3.0))
14.0ms	(cos (/ (* z t) 3.0))

simplify1.9s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1228
1	347
0	131

prune600.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 18.2b

regimes4.9s

Accuracy

61.8% (1.5b remaining)

Error of 17.7b against oracle of 16.2b and baseline of 20.2b

bsearch3.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	53
1	53
0	41

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.8s	9116×	body	80	nan
1.2s	1591×	body	1280	valid
747.0ms	946×	body	640	valid
738.0ms	5681×	body	80	valid
390.0ms	381×	body	2560	valid
166.0ms	405×	body	320	valid
71.0ms	193×	body	160	valid