Details

sample177.0ms

Algorithm

intervals

Results

52.0ms	367×	body	80	nan
28.0ms	52×	body	1280	valid
16.0ms	186×	body	80	valid
13.0ms	13×	body	2560	valid
10.0ms	27×	body	640	valid
4.0ms	13×	body	320	valid
1.0ms	7×	body	160	valid

simplify100.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	76	19
4	89	19
5	92	19
done	92	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

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))))
25.0b	(cos (- y (/ (* z t) 3.0)))

rewrite100.0ms

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:

14.0ms	(/ (* z t) 3.0)
11.0ms	(/ a (* b 3.0))
37.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms	(cos (- y (/ (* z t) 3.0)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* z t) 3.0)
26.0ms	(/ a (* b 3.0))
117.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
38.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	170	993
1	420	965
2	1962	821
done	5001	813

prune424.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 17.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
30.2b	(cos (/ (* z t) 3.0))
30.2b	(sin (/ (* z t) 3.0))

rewrite87.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 58

Calls

4 calls:

13.0ms	(/ a (* b 3.0))
65.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series354.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ a (* b 3.0))
295.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
13.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	166	1246
1	452	1223
2	2224	1031
done	5000	1025

prune537.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 17.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (* 0.3333333333333333 (* t z))) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
29.9b	(cos (* 0.3333333333333333 (* t z)))
30.2b	(sin (/ (* z t) 3.0))

rewrite177.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 58

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
134.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* 0.3333333333333333 (* t z))) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
19.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (/ (* z t) 3.0))

series383.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
319.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* 0.3333333333333333 (* t z))) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
15.0ms	(cos (* 0.3333333333333333 (* t z)))
29.0ms	(sin (/ (* z t) 3.0))

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	164	1246
1	451	1223
2	2238	1031
done	5001	1025

prune521.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 17.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))

series394.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sin (/ (* z t) 3.0))
23.0ms	(sin (/ (* z t) 3.0))
323.0ms	(sin (/ (* z t) 3.0))
24.0ms	(sin (/ (* z t) 3.0))

simplify1.5s

Counts

40 → 40

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	17	348
1	23	348
2	36	300
3	47	300
4	56	300
5	90	300
6	166	300
7	353	300
8	1150	300
done	5000	300

prune444.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.0b

regimes3.5s

Accuracy

51.3% (1.9b remaining)

Error of 18.3b against oracle of 16.5b and baseline of 20.3b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	123
1	64	123
2	65	123
done	65	123

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.5s	9172×	body	80	nan
1.2s	1604×	body	1280	valid
817.0ms	5579×	body	80	valid
801.0ms	934×	body	640	valid
409.0ms	383×	body	2560	valid
392.0ms	207×	body	160	valid
210.0ms	417×	body	320	valid