Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize21.0ms

Local error

Found 1 expressions with local error:

8.5b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

56.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify1.6s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	3322
2	695
1	209
0	95

prune333.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
8.6b	(/ (- 1.0 (/ y z)) (+ y x))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
194×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
89×	`add-cube-cbrt`
42×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
21×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 195

Calls

2 calls:

37.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
45.0ms	(/ (- 1.0 (/ y z)) (+ y x))

series262.0ms

Counts

2 → 6

Calls

2 calls:

200.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
61.0ms	(/ (- 1.0 (/ y z)) (+ y x))

simplify1.5s

Counts

201 → 201

Iterations

Iter	Nodes
done	5001
2	3521
1	658
0	245

prune588.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
8.8b	(cbrt (- 1.0 (/ y z)))
8.8b	(cbrt (- 1.0 (/ y z)))
8.8b	(cbrt (- 1.0 (/ y z)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

824×	`times-frac`
703×	`add-sqr-sqrt`
625×	`*-un-lft-identity`
516×	`cbrt-prod`
273×	`add-cube-cbrt`
172×	`difference-of-squares`
90×	`distribute-lft-out`
86×	`distribute-lft-out--`
42×	`associate-/l*`
28×	`cbrt-div`
22×	`associate-/r/`
14×	`flip3--` `flip--`
11×	`div-inv`
9×	`associate-/r*` `add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 494

Calls

4 calls:

93.0ms	(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
7.0ms	(cbrt (- 1.0 (/ y z)))
7.0ms	(cbrt (- 1.0 (/ y z)))
7.0ms	(cbrt (- 1.0 (/ y z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

384.0ms	(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
408.0ms	(cbrt (- 1.0 (/ y z)))
418.0ms	(cbrt (- 1.0 (/ y z)))
435.0ms	(cbrt (- 1.0 (/ y z)))

simplify787.0ms

Counts

506 → 506

Iterations

Iter	Nodes
done	5000
1	1300
0	551

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 7.5b

localize26.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (* (/ 1 (cbrt (- 1.0 (/ y z)))) (+ y x)))
8.8b	(cbrt (- 1.0 (/ y z)))
8.8b	(cbrt (- 1.0 (/ y z)))
8.8b	(cbrt (- 1.0 (/ y z)))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

603×	`times-frac`
533×	`add-sqr-sqrt`
378×	`cbrt-prod`
344×	`*-un-lft-identity`
303×	`associate-l`
218×	`add-cube-cbrt`
126×	`difference-of-squares`
104×	`add-exp-log`
63×	`distribute-lft-out--`
45×	`prod-exp`
40×	`div-exp`
28×	`add-cbrt-cube`
26×	`cbrt-div`
20×	`associate-/r/`
15×	`cbrt-unprod`
13×	`flip3--` `flip--`
12×	`cbrt-undiv`
10×	`rec-exp` `1-exp` `div-inv`
9×	`frac-times` `pow1` `associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 411

Calls

4 calls:

321.0ms	(* (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (* (/ 1 (cbrt (- 1.0 (/ y z)))) (+ y x)))
14.0ms	(cbrt (- 1.0 (/ y z)))
12.0ms	(cbrt (- 1.0 (/ y z)))
14.0ms	(cbrt (- 1.0 (/ y z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (* (/ 1 (cbrt (- 1.0 (/ y z)))) (+ y x)))
526.0ms	(cbrt (- 1.0 (/ y z)))
448.0ms	(cbrt (- 1.0 (/ y z)))
410.0ms	(cbrt (- 1.0 (/ y z)))

simplify853.0ms

Counts

423 → 423

Iterations

Iter	Nodes
done	5000
1	1724
0	476

prune3.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 7.5b

regimes353.0ms

Accuracy

0% (1.8b remaining)

Error of 7.7b against oracle of 5.9b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample824.0ms

Algorithm

intervals

Results

439.0ms	7995×	body	80	valid
1.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid