Details

sample101.0ms

Algorithm

intervals

Results

21.0ms	299×	body	80	nan
19.0ms	50×	body	1280	valid
10.0ms	182×	body	80	valid
8.0ms	30×	body	640	valid
6.0ms	9×	body	2560	valid
2.0ms	13×	body	320	valid
1.0ms	6×	body	160	valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	75	19
4	87	19
5	89	19
done	89	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize16.0ms

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))))
0.3b	(/ a (* b 3.0))
25.5b	(cos (- y (/ (* z t) 3.0)))

rewrite62.0ms

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:

9.0ms	(/ (* z t) 3.0)
27.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms	(/ a (* b 3.0))
15.0ms	(cos (- y (/ (* z t) 3.0)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
102.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
19.0ms	(/ a (* b 3.0))
40.0ms	(cos (- y (/ (* z t) 3.0)))

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	170	993
1	399	961
2	1327	813
3	4801	813
done	5000	813

prune322.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
1.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.6b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite56.0ms

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-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

7.0ms	(/ a (* b 3.0))
40.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ a (* b 3.0))
106.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
11.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	132	901
1	297	868
2	1040	690
3	4446	684
done	5001	684

prune370.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 b) (/ a 3.0))
1.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.6b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
35×	`add-sqr-sqrt`
28×	`add-cbrt-cube`
25×	`times-frac`
20×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
16×	`prod-exp`
14×	`associate-r` `associate-l`
12×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`div-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-r/` `-commutative` `div-inv`
1×	`frac-times` `associate-*l/` `sin-mult`

Counts

4 → 93

Calls

4 calls:

23.0ms	(* (/ 1 b) (/ a 3.0))
40.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (/ 1 b) (/ a 3.0))
106.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
11.0ms	(cos (/ (* z t) 3.0))
20.0ms	(sin (/ (* z t) 3.0))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	200	1349
1	499	1203
2	1622	961
done	5001	955

prune512.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.6b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite88.0ms

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-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

38.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
39.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series259.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
106.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
12.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	130	1272
1	337	1211
2	1354	937
done	5000	925

prune277.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.2b

regimes2.2s

Accuracy

63.6% (1.4b remaining)

Error of 17.5b against oracle of 16.1b and baseline of 20.0b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: done (5.0ms)

Iter	Nodes	Cost
0	45	120
1	62	101
done	62	99

end0.0ms

sample2.9s

Algorithm

intervals

Results

570.0ms	1523×	body	1280	valid
568.0ms	9046×	body	80	nan
338.0ms	5726×	body	80	valid
236.0ms	928×	body	640	valid
221.0ms	353×	body	2560	valid
80.0ms	421×	body	320	valid
26.0ms	202×	body	160	valid