Details

sample891.0ms

Algorithm

intervals

Results

626.0ms	71×	body	1280	valid
88.0ms	299×	body	80	nan
26.0ms	31×	body	640	valid
26.0ms	167×	body	80	valid
24.0ms	16×	body	2560	valid
22.0ms	12×	body	320	valid
2.0ms	6×	body	160	valid

simplify793.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	87
6	87
5	85
4	79
3	68
2	50
1	32
0	18

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize272.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
27.9b	(cos (- y (/ (* z t) 3.0)))

rewrite628.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

69.0ms	(/ (* z t) 3.0)
468.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms	(/ a (* b 3.0))
66.0ms	(cos (- y (/ (* z t) 3.0)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (* z t) 3.0)
400.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
37.0ms	(/ a (* b 3.0))
99.0ms	(cos (- y (/ (* z t) 3.0)))

simplify4.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1369
1	422
0	170

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 19.4b

localize624.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.8b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
32.4b	(sin (/ (* z t) 3.0))
32.8b	(cos (/ (* z t) 3.0))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r` `associate-l` `associate-l/` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

16.0ms	(/ a (* b 3.0))
276.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
8.0ms	(sin (/ (* z t) 3.0))
8.0ms	(cos (/ (* z t) 3.0))

series527.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ a (* b 3.0))
369.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
67.0ms	(sin (/ (* z t) 3.0))
55.0ms	(cos (/ (* z t) 3.0))

simplify6.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	3855
2	977
1	299
0	132

prune1.5s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 19.3b

localize135.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.8b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
32.4b	(sin (/ (* z t) 3.0))
33.3b	(cos (* 0.3333333333333333 (* t z)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r` `associate-l` `associate-l/` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

16.0ms	(/ a (* b 3.0))
88.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
7.0ms	(sin (/ (* z t) 3.0))
34.0ms	(cos (* 0.3333333333333333 (* t z)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ a (* b 3.0))
339.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
29.0ms	(sin (/ (* z t) 3.0))
21.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify5.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	3839
2	956
1	302
0	131

prune1.4s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 19.3b

localize121.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
1.8b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
32.4b	(sin (/ (* z t) 3.0))
33.3b	(cos (* 0.3333333333333333 (* t z)))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

157.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
88.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
7.0ms	(sin (/ (* z t) 3.0))
51.0ms	(cos (* 0.3333333333333333 (* t z)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
321.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
31.0ms	(sin (/ (* z t) 3.0))
26.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify3.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1245
1	324
0	127

prune982.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 19.3b

regimes10.4s

Accuracy

52.5% (1.8b remaining)

Error of 17.8b against oracle of 16.0b and baseline of 19.8b

bsearch5.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	57
1	57
0	44

end0.0ms

sample18.4s

Algorithm

intervals

Results

7.5s	9104×	body	80	nan
5.1s	1528×	body	1280	valid
1.4s	974×	body	640	valid
1.4s	5713×	body	80	valid
893.0ms	358×	body	2560	valid
381.0ms	406×	body	320	valid
130.0ms	192×	body	160	valid