Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	229×	body	80	valid
2.0ms	13×	body	1280	valid
2.0ms	16×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	13×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3019
5	643
4	223
3	109
2	52
1	22
0	11

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
3.3b	(- (+ x y) (/ (* y (- z t)) (- a t)))
9.5b	(/ (* y (- z t)) (- a t))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `distribute-lft-out--`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

16.0ms	(* y (- z t))
66.0ms	(- (+ x y) (/ (* y (- z t)) (- a t)))
20.0ms	(/ (* y (- z t)) (- a t))

series319.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* y (- z t))
185.0ms	(- (+ x y) (/ (* y (- z t)) (- a t)))
92.0ms	(/ (* y (- z t)) (- a t))

simplify1.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1734
1	414
0	154

prune623.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (/ y (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
1.1b	(/ y (/ (- a t) (- z t)))
3.1b	(- y (/ y (/ (- a t) (- z t))))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

221×	`times-frac`
205×	`add-sqr-sqrt`
203×	`*-un-lft-identity`
92×	`add-cube-cbrt`
55×	`difference-of-squares`
54×	`distribute-lft-out--`
36×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log` `associate-/r/` `add-log-exp`
8×	`associate-/l*`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`associate-+r+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `distribute-lft-out` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3-+` `div-sub` `flip-+`

Counts

4 → 227

Calls

4 calls:

203.0ms	(+ x (- y (/ y (/ (- a t) (- z t)))))
36.0ms	(/ (- a t) (- z t))
20.0ms	(/ y (/ (- a t) (- z t)))
68.0ms	(- y (/ y (/ (- a t) (- z t))))

series603.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ x (- y (/ y (/ (- a t) (- z t)))))
79.0ms	(/ (- a t) (- z t))
214.0ms	(/ y (/ (- a t) (- z t)))
168.0ms	(- y (/ y (/ (- a t) (- z t))))

simplify1.6s

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
2	4298
1	869
0	319

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.0b

localize60.0ms

Local error

Found 4 expressions with local error:

5.8b	(- y (* (/ y (- a t)) (- z t)))
9.7b	(* (/ y (- a t)) (- z t))
9.7b	(* (/ y (- a t)) (- z t))
9.7b	(* (/ y (- a t)) (- z t))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
63×	`associate-l`
58×	`*-un-lft-identity`
48×	`times-frac`
34×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `flip3--` `flip--`
9×	`sub-neg`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`frac-times` `prod-exp` `associate-*r/` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`associate--r+`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`diff-log`

Counts

4 → 166

Calls

4 calls:

5.0ms	(- y (* (/ y (- a t)) (- z t)))
48.0ms	(* (/ y (- a t)) (- z t))
68.0ms	(* (/ y (- a t)) (- z t))
41.0ms	(* (/ y (- a t)) (- z t))

series871.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(- y (* (/ y (- a t)) (- z t)))
261.0ms	(* (/ y (- a t)) (- z t))
200.0ms	(* (/ y (- a t)) (- z t))
246.0ms	(* (/ y (- a t)) (- z t))

simplify741.0ms

Counts

178 → 178

Iterations

Iter	Nodes
done	5002
2	1586
1	344
0	135

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) y)
0.6b	(/ 1 (/ (/ (- a t) y) (- z t)))
6.9b	(- y (/ 1 (/ (/ (- a t) y) (- z t))))
10.1b	(/ (/ (- a t) y) (- z t))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`times-frac`
829×	`add-sqr-sqrt`
812×	`*-un-lft-identity`
450×	`add-cube-cbrt`
185×	`difference-of-squares`
180×	`distribute-lft-out--`
109×	`associate-/r*`
34×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
1×	`sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 628

Calls

4 calls:

14.0ms	(/ (- a t) y)
37.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
154.0ms	(- y (/ 1 (/ (/ (- a t) y) (- z t))))
41.0ms	(/ (/ (- a t) y) (- z t))

series553.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- a t) y)
240.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
192.0ms	(- y (/ 1 (/ (/ (- a t) y) (- z t))))
80.0ms	(/ (/ (- a t) y) (- z t))

simplify1.2s

Counts

640 → 640

Iterations

Iter	Nodes
done	5001
1	2137
0	716

prune2.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.0b

regimes647.0ms

Accuracy

0% (3.8b remaining)

Error of 7.5b against oracle of 3.7b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

863.0ms	7377×	body	80	valid
117.0ms	493×	body	640	valid
59.0ms	267×	body	1280	valid
56.0ms	240×	body	160	valid
54.0ms	388×	body	320	valid
5.0ms	16×	body	2560	valid