Details

sample106.0ms

Algorithm

intervals

Results

21.0ms	326×	body	80	nan
17.0ms	43×	body	1280	valid
12.0ms	31×	body	640	valid
11.0ms	181×	body	80	valid
10.0ms	15×	body	2560	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	57	19
3	81	19
4	96	19
5	103	19
6	105	19
done	105	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
24.6b	(cos (- y (/ (* z t) 3.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
16.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
17.0ms	(cos (- y (/ (* z t) 3.0)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z t) 3.0)
97.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.0ms	(/ a (* b 3.0))
35.0ms	(cos (- y (/ (* z t) 3.0)))

simplify804.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	327	2847
1	699	2377
2	2127	1875
done	5000	1875

prune449.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 18.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.5b	(/ a (* b 3.0))
30.2b	(sin (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 66

Calls

4 calls:

18.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms	(/ a (* b 3.0))
1.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series257.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
18.0ms	(/ a (* b 3.0))
16.0ms	(sin (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))

simplify612.0ms

Counts

78 → 78

Iterations

Useful iterations: done (609.0ms)

Iter	Nodes	Cost
0	170	1336
1	450	1281
2	1764	1094
done	5001	1092

prune518.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 17.5b

localize30.0ms

Local error

Found 4 expressions with local error:

30.2b	(sin (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

2.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series49.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))

simplify1.9s

Counts

48 → 48

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	31	392
1	40	392
2	54	344
3	65	344
4	75	344
5	92	344
6	133	344
7	251	344
8	668	344
9	2542	344
done	5000	344

prune452.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 17.5b

localize38.0ms

Local error

Found 4 expressions with local error:

30.2b	(sin (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series47.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))

simplify2.0s

Counts

48 → 48

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	31	392
1	40	392
2	54	344
3	65	344
4	75	344
5	92	344
6	133	344
7	251	344
8	668	344
9	2542	344
done	5000	344

prune394.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 17.5b

regimes3.0s

Accuracy

50.7% (2.3b remaining)

Error of 17.9b against oracle of 15.6b and baseline of 20.3b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	82
1	55	82
done	55	82

end0.0ms

sample3.0s

Algorithm

intervals

Results

677.0ms	1612×	body	1280	valid
658.0ms	9196×	body	80	nan
364.0ms	5572×	body	80	valid
275.0ms	962×	body	640	valid
232.0ms	332×	body	2560	valid
90.0ms	419×	body	320	valid
29.0ms	197×	body	160	valid