Details

sample47.0ms

Algorithm

intervals

Results

20.0ms	269×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
27	4943
26	4711
25	4475
24	4250
23	4024
22	3792
21	3556
20	3331
19	3105
18	2836
17	2593
16	2368
15	2126
14	1751
13	1361
12	992
11	606
10	416
9	304
8	242
7	205
6	169
5	131
4	91
3	54
2	35
1	22
0	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 60.0 (- x y))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

28.0ms	(* 60.0 (- x y))
20.0ms	(/ (* 60.0 (- x y)) (- z t))

series133.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* 60.0 (- x y))
97.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.7s

Counts

61 → 61

Iterations

Iter	Nodes
done	5004
3	3805
2	874
1	291
0	109

prune307.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

18.0ms	(/ (- z t) (- x y))
24.0ms	(/ 60.0 (/ (- z t) (- x y)))

series463.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- z t) (- x y))
382.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.9s

Counts

200 → 200

Iterations

Iter	Nodes
done	5003
2	2794
1	728
0	271

prune903.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x y))
0.0b	(/ 60.0 (- z t))
0.4b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
699×	`add-sqr-sqrt` `*-un-lft-identity`
419×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
31×	`associate-/r*` `add-exp-log`
27×	`associate-/l*`
19×	`add-cbrt-cube` `div-exp`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 585

Calls

3 calls:

18.0ms	(/ 1 (- x y))
17.0ms	(/ 60.0 (- z t))
53.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series500.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ 1 (- x y))
66.0ms	(/ 60.0 (- z t))
384.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify1.7s

Counts

594 → 594

Iterations

Iter	Nodes
done	5001
1	2510
0	768

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.3b	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
0.4b	(/ (sqrt 60.0) (/ (- z t) (- x y)))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

734×	`times-frac`
603×	`add-sqr-sqrt`
571×	`*-un-lft-identity`
287×	`add-cube-cbrt`
201×	`sqrt-prod`
191×	`associate-r`
142×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
30×	`associate-/r/`
19×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
15×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`pow1`
3×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 513

Calls

3 calls:

34.0ms	(/ (- z t) (- x y))
147.0ms	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
51.0ms	(/ (sqrt 60.0) (/ (- z t) (- x y)))

series1.6s

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (- z t) (- x y))
914.0ms	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
594.0ms	(/ (sqrt 60.0) (/ (- z t) (- x y)))

simplify1.6s

Counts

522 → 522

Iterations

Iter	Nodes
done	5002
1	1420
0	477

prune2.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes641.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

752.0ms	8550×	body	80	valid
19.0ms	64×	body	1280	valid
6.0ms	18×	body	2560	valid
6.0ms	27×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid