Details

sample332.0ms

Algorithm

intervals

Results

75.0ms	349×	body	80	nan
55.0ms	65×	body	1280	valid
25.0ms	163×	body	80	valid
24.0ms	20×	body	2560	valid
20.0ms	29×	body	640	valid
5.0ms	11×	body	320	valid
2.0ms	6×	body	160	valid

simplify351.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	97
6	97
5	95
4	89
3	75
2	53
1	33
0	18

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize197.0ms

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))))
24.5b	(cos (- y (/ (* z t) 3.0)))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`prod-diff`
19×	`add-cbrt-cube` `add-exp-log`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 105

Calls

4 calls:

46.0ms	(/ (* z t) 3.0)
34.0ms	(/ a (* b 3.0))
135.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
89.0ms	(cos (- y (/ (* z t) 3.0)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (* z t) 3.0)
33.0ms	(/ a (* b 3.0))
293.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
74.0ms	(cos (- y (/ (* z t) 3.0)))

simplify4.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1867
1	715
0	331

prune3.2s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 16.9b

localize277.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.4b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.3b	(sin (/ (* z t) 3.0))
28.5b	(cos (/ (* z t) 3.0))

rewrite318.0ms

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` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `associate-l` `associate-r/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 72

Calls

4 calls:

135.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
164.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
8.0ms	(sin (/ (* z t) 3.0))
8.0ms	(cos (/ (* z t) 3.0))

series593.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
236.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
38.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (/ (* z t) 3.0))

simplify4.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1298
1	358
0	142

prune2.4s

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 16.9b

localize287.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.4b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.3b	(sin (/ (* z t) 3.0))
28.4b	(cos (* 0.3333333333333333 (* t z)))

rewrite505.0ms

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` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `associate-l` `associate-r/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 72

Calls

4 calls:

265.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
148.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms	(sin (/ (* z t) 3.0))
74.0ms	(cos (* 0.3333333333333333 (* t z)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
228.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
33.0ms	(sin (/ (* z t) 3.0))
28.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify3.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1332
1	359
0	145

prune2.9s

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 16.9b

localize221.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.5b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.3b	(sin (* 0.3333333333333333 (* t z)))
28.4b	(cos (* 0.3333333333333333 (* t z)))

rewrite705.0ms

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` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `associate-l` `associate-r/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 72

Calls

4 calls:

276.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
295.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
70.0ms	(sin (* 0.3333333333333333 (* t z)))
58.0ms	(cos (* 0.3333333333333333 (* t z)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
253.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
40.0ms	(sin (* 0.3333333333333333 (* t z)))
28.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify4.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1319
1	348
0	137

prune1.7s

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 16.9b

regimes20.9s

Accuracy

39.2% (3.4b remaining)

Error of 17.9b against oracle of 14.5b and baseline of 20.0b

bsearch8.0ms

simplify43.0ms

Iterations

Iter	Nodes
done	56
1	56
0	42

end0.0ms

sample8.4s

Algorithm

intervals

Results

1.9s	9129×	body	80	nan
1.7s	1614×	body	1280	valid
1.5s	945×	body	640	valid
911.0ms	5569×	body	80	valid
572.0ms	385×	body	2560	valid
332.0ms	422×	body	320	valid
104.0ms	223×	body	160	valid