Details

sample204.0ms

Algorithm

intervals

Results

60.0ms	367×	body	80	nan
32.0ms	52×	body	1280	valid
19.0ms	186×	body	80	valid
13.0ms	13×	body	2560	valid
12.0ms	27×	body	640	valid
4.0ms	13×	body	320	valid
2.0ms	7×	body	160	valid

simplify124.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	58	19
3	82	19
4	100	19
5	108	19
6	110	19
done	110	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize33.0ms

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)))

rewrite105.0ms

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:

10.0ms	(/ (* z t) 3.0)
8.0ms	(/ a (* b 3.0))
51.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms	(cos (- y (/ (* z t) 3.0)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* z t) 3.0)
29.0ms	(/ a (* b 3.0))
120.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
40.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	327	2847
1	711	2399
2	2913	1885
done	5000	1822

prune639.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 17.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

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:

12.0ms	(/ a (* b 3.0))
71.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
5.0ms	(cos (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))

series350.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ a (* b 3.0))
284.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
13.0ms	(cos (/ (* z t) 3.0))
27.0ms	(sin (/ (* z t) 3.0))

simplify1.5s

Counts

78 → 78

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	170	1336
1	462	1285
2	2280	1100
done	5002	1090

prune615.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 17.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

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:

13.0ms	(/ a (* b 3.0))
124.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
20.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (/ (* z t) 3.0))

series283.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
231.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
12.0ms	(cos (* 0.3333333333333333 (* t z)))
20.0ms	(sin (/ (* z t) 3.0))

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	173	1336
1	466	1285
2	2307	1099
done	5002	1090

prune605.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.9b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(log1p (sin (/ (* z t) 3.0)))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (expm1 (log1p (sin (/ (* z t) 3.0)))))))
29.9b	(cos (* 0.3333333333333333 (* t z)))
30.2b	(sin (/ (* z t) 3.0))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `log1p-udef` `distribute-lft-in` `flip3-+` `log1p-expm1` `associate-l` `*-commutative` `flip-+`

Counts

4 → 53

Calls

4 calls:

1.0ms	(log1p (sin (/ (* z t) 3.0)))
127.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (expm1 (log1p (sin (/ (* z t) 3.0)))))))
22.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (/ (* z t) 3.0))

series453.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(log1p (sin (/ (* z t) 3.0)))
333.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (expm1 (log1p (sin (/ (* z t) 3.0)))))))
17.0ms	(cos (* 0.3333333333333333 (* t z)))
29.0ms	(sin (/ (* z t) 3.0))

simplify1.2s

Counts

65 → 65

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	135	1304
1	382	1192
2	2157	1020
done	5001	1012

prune515.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.9b

regimes3.9s

Accuracy

50.7% (1.9b remaining)

Error of 18.3b against oracle of 16.4b and baseline of 20.2b

bsearch4.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	79
1	54	79
2	55	79
done	55	79

end0.0ms

sample6.9s

Algorithm

intervals

Results

1.9s	9172×	body	80	nan
1.2s	1604×	body	1280	valid
672.0ms	5579×	body	80	valid
580.0ms	934×	body	640	valid
464.0ms	383×	body	2560	valid
435.0ms	207×	body	160	valid
244.0ms	417×	body	320	valid