Details

sample229.0ms

Algorithm

intervals

Results

54.0ms	189×	body	80	valid
38.0ms	295×	body	80	nan
34.0ms	49×	body	1280	valid
17.0ms	31×	body	640	valid
14.0ms	13×	body	2560	valid
6.0ms	15×	body	320	valid
1.0ms	5×	body	160	valid

simplify103.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	92
5	92
4	89
3	76
2	54
1	32
0	18

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.6b

localize28.0ms

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))))
23.3b	(cos (- y (/ (* z t) 3.0)))

rewrite101.0ms

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:

15.0ms	(/ (* z t) 3.0)
11.0ms	(/ a (* b 3.0))
56.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
15.0ms	(cos (- y (/ (* z t) 3.0)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (* z t) 3.0)
25.0ms	(/ a (* b 3.0))
159.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
68.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1965
1	420
0	170

prune697.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (* 2.0 (sqrt x)))
1.0b	(* (* (sin y) (* 2.0 (sqrt x))) (sin (/ z (/ 3.0 t))))
27.3b	(cos (/ z (/ 3.0 t)))
27.5b	(sin (/ z (/ 3.0 t)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative`

Counts

4 → 53

Calls

4 calls:

25.0ms	(* (sin y) (* 2.0 (sqrt x)))
94.0ms	(* (* (sin y) (* 2.0 (sqrt x))) (sin (/ z (/ 3.0 t))))
7.0ms	(cos (/ z (/ 3.0 t)))
7.0ms	(sin (/ z (/ 3.0 t)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (sin y) (* 2.0 (sqrt x)))
187.0ms	(* (* (sin y) (* 2.0 (sqrt x))) (sin (/ z (/ 3.0 t))))
19.0ms	(cos (/ z (/ 3.0 t)))
23.0ms	(sin (/ z (/ 3.0 t)))

simplify849.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1278
1	295
0	116

prune722.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.9b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (* 2.0 (sqrt x)))
1.0b	(* (* (sin y) (* 2.0 (sqrt x))) (sin (/ z (/ 3.0 t))))
27.4b	(cos (* (* z t) 0.3333333333333333))
27.5b	(sin (/ z (/ 3.0 t)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative`

Counts

4 → 53

Calls

4 calls:

36.0ms	(* (sin y) (* 2.0 (sqrt x)))
125.0ms	(* (* (sin y) (* 2.0 (sqrt x))) (sin (/ z (/ 3.0 t))))
22.0ms	(cos (* (* z t) 0.3333333333333333))
13.0ms	(sin (/ z (/ 3.0 t)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (sin y) (* 2.0 (sqrt x)))
141.0ms	(* (* (sin y) (* 2.0 (sqrt x))) (sin (/ z (/ 3.0 t))))
20.0ms	(cos (* (* z t) 0.3333333333333333))
30.0ms	(sin (/ z (/ 3.0 t)))

simplify850.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1292
1	301
0	118

prune889.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.9b

localize104.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
1.0b	(* (* (* (cbrt (sin y)) (cbrt (sin y))) (* (* (cbrt (sin y)) (sqrt x)) 2.0)) (sin (/ z (/ 3.0 t))))
27.4b	(cos (* (* z t) 0.3333333333333333))
27.5b	(sin (/ z (/ 3.0 t)))

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1` `add-exp-log`
25×	`add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`cbrt-prod` `associate-r`
1×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 58

Calls

4 calls:

2.0ms	(cbrt (sin y))
451.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) (* (* (cbrt (sin y)) (sqrt x)) 2.0)) (sin (/ z (/ 3.0 t))))
33.0ms	(cos (* (* z t) 0.3333333333333333))
11.0ms	(sin (/ z (/ 3.0 t)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (sin y))
176.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) (* (* (cbrt (sin y)) (sqrt x)) 2.0)) (sin (/ z (/ 3.0 t))))
12.0ms	(cos (* (* z t) 0.3333333333333333))
32.0ms	(sin (/ z (/ 3.0 t)))

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	2025
1	391
0	137

prune634.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 14.8b

regimes6.2s

Accuracy

62.5% (1.5b remaining)

Error of 17.3b against oracle of 15.9b and baseline of 19.8b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	70
1	70
0	50

end0.0ms

sample8.0s

Algorithm

intervals

Results

1.9s	8980×	body	80	nan
1.3s	1591×	body	1280	valid
1.3s	5666×	body	80	valid
866.0ms	340×	body	2560	valid
785.0ms	949×	body	640	valid
254.0ms	445×	body	320	valid
48.0ms	195×	body	160	valid