Details

sample101.0ms

Algorithm

intervals

Results

20.0ms	52×	body	1280	valid
18.0ms	281×	body	80	nan
13.0ms	163×	body	80	valid
9.0ms	33×	body	640	valid
8.0ms	12×	body	2560	valid
4.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify45.0ms

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

localize16.0ms

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)))

rewrite27.0ms

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:

4.0ms	(/ (* 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)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
18.0ms	(/ a (* b 3.0))
90.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
35.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: 2 (138.0ms)

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

prune333.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 18.6b

localize27.0ms

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)))

rewrite31.0ms

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×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `cos-mult` `sin-mult`
1×	`neg-sub0` `flip3--` `frac-2neg` `associate-l` `sin-neg` `clear-num` `associate-/r` `sin-diff` `-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

4 → 63

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
22.0ms	(* (* 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))
3.0ms	(sin (- (/ (* z t) 3.0)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
212.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
10.0ms	(cos (/ (* z t) 3.0))
20.0ms	(sin (- (/ (* z t) 3.0)))

simplify823.0ms

Counts

75 → 75

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	179	1421
1	449	1390
2	1590	1151
done	5001	1149

prune444.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.7b

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))))

rewrite47.0ms

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×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `cos-mult` `sin-mult`
1×	`neg-sub0` `flip3--` `frac-2neg` `associate-l` `sin-neg` `clear-num` `associate-/r` `sin-diff` `-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

4 → 63

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
37.0ms	(* (* 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))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
205.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
11.0ms	(cos (/ (* z t) 3.0))
20.0ms	(sin (- (* 0.3333333333333333 (* t z))))

simplify824.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	176	1421
1	445	1390
2	1582	1147
done	5001	1147

prune446.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.7b

localize25.0ms

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))))

rewrite67.0ms

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×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `cos-mult` `sin-mult`
1×	`neg-sub0` `flip3--` `frac-2neg` `associate-l` `sin-neg` `clear-num` `associate-/r` `sin-diff` `-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

4 → 63

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
55.0ms	(* (* 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))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
208.0ms	(* (* 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)))
20.0ms	(sin (- (* 0.3333333333333333 (* t z))))

simplify839.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	173	1421
1	436	1390
2	1566	1147
done	5000	1147

prune338.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.7b

regimes3.1s

Accuracy

24% (3.5b remaining)

Error of 19.2b against oracle of 15.6b and baseline of 20.3b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	45	132
1	62	101
2	70	101
done	70	101

end0.0ms

sample3.0s

Algorithm

intervals

Results

647.0ms	1612×	body	1280	valid
621.0ms	9141×	body	80	nan
355.0ms	5667×	body	80	valid
259.0ms	930×	body	640	valid
242.0ms	364×	body	2560	valid
90.0ms	413×	body	320	valid
27.0ms	188×	body	160	valid