Details

sample96.0ms

Algorithm

intervals

Results

21.0ms	52×	body	1280	valid
17.0ms	281×	body	80	nan
9.0ms	163×	body	80	valid
8.0ms	33×	body	640	valid
8.0ms	12×	body	2560	valid
3.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	74	19
4	87	19
5	90	19
done	90	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize15.0ms

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))))
24.2b	(cos (- y (/ (* z t) 3.0)))

rewrite26.0ms

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:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
17.0ms	(/ a (* b 3.0))
87.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
34.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	170	993
1	404	961
2	1372	813
done	5000	813

prune330.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 18.6b

localize24.0ms

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)))))
29.9b	(cos (/ (* z t) 3.0))
30.4b	(sin (/ (* z t) 3.0))

rewrite24.0ms

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:

3.0ms	(/ a (* b 3.0))
17.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))

series239.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
194.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify780.0ms

Counts

70 → 70

Iterations

Useful iterations: done (778.0ms)

Iter	Nodes	Cost
0	162	1246
1	433	1219
2	1613	1025
done	5000	1023

prune414.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 18.4b

localize26.0ms

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 (* 0.3333333333333333 (* t z))))))
29.9b	(cos (/ (* z t) 3.0))
30.4b	(sin (* 0.3333333333333333 (* t z)))

rewrite35.0ms

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:

3.0ms	(/ a (* b 3.0))
25.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
193.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
9.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify800.0ms

Counts

70 → 70

Iterations

Useful iterations: done (797.0ms)

Iter	Nodes	Cost
0	165	1246
1	437	1219
2	1623	1025
done	5001	1023

prune430.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 18.4b

localize24.0ms

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 (* 0.3333333333333333 (* t z))))))
30.0b	(cos (* 0.3333333333333333 (* t z)))
30.4b	(sin (* 0.3333333333333333 (* t z)))

rewrite46.0ms

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:

3.0ms	(/ a (* b 3.0))
34.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
4.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
192.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
9.0ms	(cos (* 0.3333333333333333 (* t z)))
19.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify829.0ms

Counts

70 → 70

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	158	1246
1	424	1219
2	1605	1025
done	5000	1023

prune295.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 18.4b

regimes2.8s

Accuracy

61.5% (1.5b remaining)

Error of 17.9b against oracle of 16.4b and baseline of 20.3b

bsearch3.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	59
1	52	59
done	52	59

end0.0ms

sample2.9s

Algorithm

intervals

Results

629.0ms	1612×	body	1280	valid
600.0ms	9141×	body	80	nan
346.0ms	5667×	body	80	valid
262.0ms	930×	body	640	valid
235.0ms	364×	body	2560	valid
79.0ms	413×	body	320	valid
26.0ms	188×	body	160	valid