Details

sample199.0ms

Algorithm

intervals

Results

49.0ms	195×	body	80	valid
33.0ms	308×	body	80	nan
27.0ms	46×	body	1280	valid
11.0ms	27×	body	640	valid
11.0ms	11×	body	2560	valid
3.0ms	10×	body	320	valid
2.0ms	7×	body	160	valid

simplify70.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize36.0ms

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))))
24.9b	(cos (- y (/ (* z t) 3.0)))

rewrite86.0ms

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))
36.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms	(cos (- y (/ (* z t) 3.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
27.0ms	(/ a (* b 3.0))
135.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
50.0ms	(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

prune607.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 16.0b

localize30.0ms

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)))))
24.9b	(cos (- y (* z (/ t 3.0))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`times-frac`
11×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `cos-diff` `div-exp` `associate-/l*`
2×	`cos-sum` `*-commutative` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 83

Calls

4 calls:

20.0ms	(* z (/ t 3.0))
11.0ms	(/ a (* b 3.0))
44.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
11.0ms	(cos (- y (* z (/ t 3.0))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* z (/ t 3.0))
22.0ms	(/ a (* b 3.0))
113.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
50.0ms	(cos (- y (* z (/ t 3.0))))

simplify1.0s

Counts

95 → 95

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	190	1084
1	480	1050
2	2040	902
done	5000	898

prune769.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.8b

localize45.0ms

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)))))
24.9b	(cos (- y (* z (/ t 3.0))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
60×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
13×	`associate-/l*`
11×	`pow1`
6×	`div-inv`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `add-log-exp`
3×	`cos-diff` `associate-/r*`
2×	`cos-sum` `*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `clear-num` `associate-/l/`

Counts

4 → 132

Calls

4 calls:

14.0ms	(* z (/ t 3.0))
17.0ms	(/ (/ a b) 3.0)
41.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
16.0ms	(cos (- y (* z (/ t 3.0))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* z (/ t 3.0))
28.0ms	(/ (/ a b) 3.0)
165.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
46.0ms	(cos (- y (* z (/ t 3.0))))

simplify1.5s

Counts

144 → 144

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	286	1761
1	721	1681
2	3269	1537
done	5001	1527

prune1.1s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.8b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 3.0 (/ a b))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
1.0b	(/ (/ 1 1) (/ 3.0 (/ a b)))
24.9b	(cos (- y (* z (/ t 3.0))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

1976×	`times-frac`
852×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
107×	`div-inv`
74×	`add-exp-log`
57×	`div-exp` `associate-/r*`
35×	`add-cbrt-cube`
18×	`cbrt-undiv`
16×	`associate-/r/` `associate-/l*`
15×	`1-exp`
9×	`pow1`
6×	`rec-exp`
4×	`add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cos-sum` `frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 768

Calls

4 calls:

9.0ms	(/ 3.0 (/ a b))
32.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
53.0ms	(/ (/ 1 1) (/ 3.0 (/ a b)))
9.0ms	(cos (- y (* z (/ t 3.0))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 3.0 (/ a b))
140.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
20.0ms	(/ (/ 1 1) (/ 3.0 (/ a b)))
58.0ms	(cos (- y (* z (/ t 3.0))))

simplify664.0ms

Counts

780 → 780

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	1267	18103
done	5000	14823

prune4.2s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.8b

regimes4.4s

Accuracy

53.1% (2.0b remaining)

Error of 18.4b against oracle of 16.4b and baseline of 20.7b

bsearch4.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	38	57
1	48	55
done	48	55

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.1s	1569×	body	1280	valid
1.3s	9213×	body	80	nan
864.0ms	5620×	body	80	valid
490.0ms	397×	body	2560	valid
486.0ms	967×	body	640	valid
156.0ms	400×	body	320	valid
73.0ms	196×	body	160	valid