Details

sample75.0ms

Algorithm

intervals

Results

32.0ms	255×	body	80	valid
11.0ms	21×	body	640	valid
5.0ms	13×	body	320	valid
3.0ms	5×	body	1280	valid
1.0ms	4×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1598
5	656
4	266
3	103
2	43
1	20
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.6b	(/ (* (- y x) (- z t)) (- a t))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
104×	`*-un-lft-identity`
80×	`times-frac`
40×	`add-cube-cbrt`
35×	`associate-r` `associate-l`
31×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/l*`
13×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`*-commutative` `unswap-sqr`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-l/` `associate-r/`
3×	`insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 174

Calls

3 calls:

65.0ms	(* (- y x) (- z t))
135.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
150.0ms	(/ (* (- y x) (- z t)) (- a t))

series461.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (- y x) (- z t))
228.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
173.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify2.3s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	2780
1	767
0	264

prune838.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.1b	(/ (- y x) (/ (- a t) (- z t)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
329×	`*-un-lft-identity`
327×	`add-sqr-sqrt`
115×	`add-cube-cbrt`
106×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
29×	`associate-/r/`
15×	`associate-/l*`
10×	`flip3--` `add-cbrt-cube` `add-exp-log` `flip--`
8×	`div-inv`
6×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `clear-num` `frac-2neg` `div-sub` `insert-posit16`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 291

Calls

3 calls:

26.0ms	(/ (- a t) (- z t))
147.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
60.0ms	(/ (- y x) (/ (- a t) (- z t)))

series574.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (- a t) (- z t))
217.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
293.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify2.0s

Counts

300 → 300

Iterations

Iter	Nodes
done	5000
2	3816
1	1205
0	369

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.4b	(/ x (/ (- a t) (- z t)))
1.5b	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

464×	`times-frac`
437×	`add-sqr-sqrt`
433×	`*-un-lft-identity`
196×	`add-cube-cbrt`
139×	`associate-/r*`
119×	`difference-of-squares`
118×	`distribute-lft-out--`
74×	`frac-sub`
52×	`associate-/r/`
37×	`flip3-+` `flip-+`
27×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
15×	`flip3--` `flip--`
13×	`div-inv`
9×	`add-log-exp`
7×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
6×	`associate-/l/`
4×	`pow1` `insert-posit16`
2×	`diff-log` `associate--l+`
1×	`+-commutative` `sum-log` `sub-neg` `div-sub` `distribute-lft-out`

Counts

4 → 462

Calls

4 calls:

24.0ms	(/ (- a t) (- z t))
30.0ms	(/ x (/ (- a t) (- z t)))
1.1s	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
52.0ms	(/ y (/ (- a t) (- z t)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (- a t) (- z t))
202.0ms	(/ x (/ (- a t) (- z t)))
189.0ms	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
164.0ms	(/ y (/ (- a t) (- z t)))

simplify1.3s

Counts

474 → 474

Iterations

Iter	Nodes
done	5000
1	2084
0	695

prune2.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.4b	(/ x (/ (- a t) (- z t)))
2.1b	(/ y (/ (- a t) (- z t)))
2.9b	(- x (/ x (/ (- a t) (- z t))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

414×	`times-frac`
373×	`add-sqr-sqrt`
366×	`*-un-lft-identity`
172×	`add-cube-cbrt`
99×	`difference-of-squares`
97×	`distribute-lft-out--`
77×	`associate-/r*`
48×	`associate-/r/`
21×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
13×	`flip3--` `flip--`
11×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp` `associate-/l/`
5×	`clear-num` `frac-2neg`
4×	`pow1` `insert-posit16`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 384

Calls

4 calls:

37.0ms	(/ (- a t) (- z t))
42.0ms	(/ x (/ (- a t) (- z t)))
36.0ms	(/ y (/ (- a t) (- z t)))
77.0ms	(- x (/ x (/ (- a t) (- z t))))

series628.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (- a t) (- z t))
193.0ms	(/ x (/ (- a t) (- z t)))
183.0ms	(/ y (/ (- a t) (- z t)))
181.0ms	(- x (/ x (/ (- a t) (- z t))))

simplify2.0s

Counts

396 → 396

Iterations

Iter	Nodes
done	5000
2	4944
1	1266
0	470

prune1.8s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.4b

regimes640.0ms

Accuracy

0% (3.5b remaining)

Error of 7.8b against oracle of 4.3b and baseline of 7.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.3s	7726×	body	80	valid
193.0ms	517×	body	640	valid
154.0ms	291×	body	1280	valid
104.0ms	410×	body	320	valid
45.0ms	265×	body	160	valid
7.0ms	12×	body	2560	valid