Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
0.0ms	1×	body	1280	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: 8.6b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:

37.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify1.5s

Counts

53 → 53

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	95	835
1	209	812
2	679	776
3	3135	776
done	5000	776

prune165.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- 1.0 (/ y z)))
8.4b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

30.0ms	(/ 1 (- 1.0 (/ y z)))
96.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series163.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ 1 (- 1.0 (/ y z)))
83.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	143	1364
1	370	1205
2	1799	1048
done	5001	1046

prune504.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.7b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite151.0ms

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:

65.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
74.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series187.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
53.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify1.3s

Counts

201 → 201

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	245	4021
1	658	3530
2	3325	3414
done	5001	3359

prune317.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.9b

localize24.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (+ x y) (* (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (/ 1 (cbrt (- 1.0 (/ y z))))))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))
8.9b	(cbrt (- 1.0 (/ y z)))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-exp-log`
41×	`prod-exp`
34×	`div-exp`
24×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`*-un-lft-identity`
13×	`cbrt-unprod`
11×	`frac-times`
9×	`pow1` `cbrt-undiv` `rec-exp` `1-exp`
8×	`add-cube-cbrt`
7×	`associate-*r/`
6×	`cbrt-div` `difference-of-squares`
5×	`flip3-+` `associate-*l/` `flip-+`
4×	`associate-l` `add-log-exp`
3×	`flip3--` `times-frac` `pow1/3` `pow-prod-down` `un-div-inv` `flip--` `distribute-lft-out--`
1×	`associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

284.0ms	(* (+ x y) (* (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (/ 1 (cbrt (- 1.0 (/ y z))))))
9.0ms	(cbrt (- 1.0 (/ y z)))
9.0ms	(cbrt (- 1.0 (/ y z)))
13.0ms	(cbrt (- 1.0 (/ y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ x y) (* (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (/ 1 (cbrt (- 1.0 (/ y z))))))
384.0ms	(cbrt (- 1.0 (/ y z)))
341.0ms	(cbrt (- 1.0 (/ y z)))
353.0ms	(cbrt (- 1.0 (/ y z)))

simplify1.8s

Counts

117 → 117

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	193	2764
1	602	2640
2	2933	1741
done	5000	1603

prune269.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 6.9b

regimes156.0ms

Accuracy

63.5% (0.8b remaining)

Error of 6.4b against oracle of 5.6b and baseline of 7.7b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	65
1	31	57
done	31	57

end0.0ms

sample631.0ms

Algorithm

intervals

Results

274.0ms	7997×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid