Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	14	9
done	14	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.0b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite37.0ms

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-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

35.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify2.0s

Counts

53 → 53

Iterations

Useful iterations: 4 (983.0ms)

Iter	Nodes	Cost
0	95	835
1	204	812
2	547	776
3	1371	776
4	3954	775
done	5000	775

prune111.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.0b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite82.0ms

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` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 195

Calls

2 calls:

35.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
36.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series167.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
43.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.1s

Counts

201 → 201

Iterations

Useful iterations: 3 (974.0ms)

Iter	Nodes	Cost
0	245	4021
1	570	3530
2	1326	3223
3	3527	3179
done	5000	3179

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x y))
0.0b	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
3.2b	(/ (/ y (+ x y)) z)

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

215×	`times-frac`
186×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
81×	`add-cube-cbrt`
30×	`difference-of-squares`
24×	`associate-/l*`
21×	`distribute-lft-out`
19×	`associate-/r*`
15×	`add-exp-log` `distribute-lft-out--`
13×	`associate-/r/` `add-cbrt-cube`
7×	`div-inv`
6×	`div-exp` `add-log-exp`
5×	`pow1` `cbrt-undiv` `flip3-+` `flip-+`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `frac-sub` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-/l/` `inv-pow`

Counts

4 → 215

Calls

4 calls:

10.0ms	(/ 1.0 (+ x y))
101.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
155.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
20.0ms	(/ (/ y (+ x y)) z)

series360.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1.0 (+ x y))
120.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
131.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
69.0ms	(/ (/ y (+ x y)) z)

simplify2.2s

Counts

227 → 227

Iterations

Useful iterations: 2 (304.0ms)

Iter	Nodes	Cost
0	332	4061
1	691	3772
2	1591	3652
3	4342	3652
done	5000	3652

prune457.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.4b	(/ (/ (/ y (+ x y)) (* (cbrt z) (cbrt z))) (cbrt z))
2.1b	(/ (/ y (+ x y)) (* (cbrt z) (cbrt z)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

384×	`times-frac`
185×	`*-un-lft-identity`
131×	`add-sqr-sqrt` `add-cube-cbrt`
75×	`cbrt-prod`
40×	`associate-/l*`
34×	`add-exp-log`
27×	`distribute-lft-out`
21×	`add-cbrt-cube`
18×	`associate-/r/` `div-inv`
17×	`cbrt-undiv` `div-exp`
9×	`flip3-+` `flip-+`
7×	`associate-/r*`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow1/3` `clear-num` `associate-/l/`

Counts

4 → 259

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
37.0ms	(/ (/ (/ y (+ x y)) (* (cbrt z) (cbrt z))) (cbrt z))
27.0ms	(/ (/ y (+ x y)) (* (cbrt z) (cbrt z)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
176.0ms	(cbrt z)
94.0ms	(/ (/ (/ y (+ x y)) (* (cbrt z) (cbrt z))) (cbrt z))
209.0ms	(/ (/ y (+ x y)) (* (cbrt z) (cbrt z)))

simplify1.2s

Counts

271 → 271

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	365	5523
1	815	5149
2	2579	4570
done	5002	4560

prune664.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

83.4% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.5b

bsearch50.0ms

Steps

Iters	Range		Point
7	4.6160685145654496e+24	1.8432450841745803e+26	7.489437381217845e+24
7	-1.3236084789187749e+62	-1.4924982923623064e+60	-2.7098802714115753e+60

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	47
1	26	33
done	26	33

end0.0ms

sample395.0ms

Algorithm

intervals

Results

183.0ms	7996×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid