Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	246×	body	80	valid
10.0ms	16×	body	640	valid
2.0ms	10×	body	1280	valid
2.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid

simplify14.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	111	13
4	288	13
5	633	13
6	1189	13
7	2048	13
8	2872	13
9	3396	13
10	3629	13
11	3899	13
12	4189	13
done	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.0b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.1b	(/ (* (- y x) (- z t)) (- a t))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

72.0ms	(* (- y x) (- z t))
31.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
58.0ms	(/ (* (- y x) (- z t)) (- a t))

series460.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (- y x) (- z t))
240.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
158.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: 2 (411.0ms)

Iter	Nodes	Cost
0	162	1284
1	468	1213
2	1991	1111
done	5000	1111

prune302.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.8b	(* (- y x) (/ (- z t) (- a t)))
2.0b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

26.0ms	(/ (- z t) (- a t))
106.0ms	(* (- y x) (/ (- z t) (- a t)))
14.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series452.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- z t) (- a t))
171.0ms	(* (- y x) (/ (- z t) (- a t)))
219.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.0s

Counts

128 → 128

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	183	1813
1	472	1704
2	1748	1606
done	5001	1606

prune427.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.2b	(/ (- y x) (/ (- a t) (- z t)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

38.0ms	(/ (- a t) (- z t))
148.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
60.0ms	(/ (- y x) (/ (- a t) (- z t)))

series548.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (- a t) (- z t))
208.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
262.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify1.8s

Counts

283 → 283

Iterations

Useful iterations: 2 (787.0ms)

Iter	Nodes	Cost
0	354	5984
1	1010	5625
2	3654	5487
done	5000	5487

prune767.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.2b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
2.5b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp` `associate-/l*`
7×	`pow1` `flip3--` `flip--`
6×	`cbrt-undiv` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `div-sub` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 142

Calls

4 calls:

13.0ms	(/ 1 (- z t))
49.0ms	(* (- a t) (/ 1 (- z t)))
34.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
34.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series635.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (- z t))
62.0ms	(* (- a t) (/ 1 (- z t)))
304.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
211.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify1.4s

Counts

154 → 154

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	214	2079
1	540	1717
2	1729	1527
done	5000	1525

prune303.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 3.5b

regimes361.0ms

Accuracy

23% (6.4b remaining)

Error of 10.3b against oracle of 3.9b and baseline of 12.2b

bsearch111.0ms

Steps

Iters	Range		Point
8	3.7816928229732575e-146	2.222093665808463e-143	2.779795427212612e-144
7	-2.9574282972449754e-131	-1.4040083790808218e-132	-2.0163430865060148e-131

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	49
1	36	49
done	36	49

end0.0ms

sample1.6s

Algorithm

intervals

Results

592.0ms	7719×	body	80	valid
186.0ms	262×	body	1280	valid
107.0ms	495×	body	640	valid
82.0ms	423×	body	320	valid
31.0ms	288×	body	160	valid
5.0ms	18×	body	2560	valid