Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 6.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
6.7b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 65

Calls

2 calls:

9.0ms	(- 1.0 (/ y z))
19.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- 1.0 (/ y z))
51.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify1.8s

Counts

71 → 71

Iterations

Useful iterations: 4 (961.0ms)

Iter	Nodes	Cost
0	104	1002
1	221	974
2	541	928
3	1368	928
4	3659	927
done	5000	927

prune150.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.3b	(/ 1 (- 1.0 (/ y z)))
6.3b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
46×	`times-frac`
44×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`associate-r`
16×	`add-exp-log` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--`
6×	`pow1` `associate-/r*`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

3 → 112

Calls

3 calls:

7.0ms	(- 1.0 (/ y z))
13.0ms	(/ 1 (- 1.0 (/ y z)))
42.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series116.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- 1.0 (/ y z))
46.0ms	(/ 1 (- 1.0 (/ y z)))
53.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.1s

Counts

121 → 121

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	152	1531
1	361	1306
2	950	1198
3	2902	1198
done	5000	1197

prune213.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.3b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
200×	`add-sqr-sqrt`
196×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 210

Calls

3 calls:

6.0ms	(- 1.0 (/ y z))
26.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
23.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series183.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- 1.0 (/ y z))
120.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
46.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.4s

Counts

219 → 219

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	254	4188
1	615	3692
2	1386	3375
3	4013	3331
done	5000	3329

prune288.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
0.3b	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
2.9b	(/ (/ y (+ x y)) z)

rewrite257.0ms

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:

6.0ms	(/ y (+ x y))
84.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
140.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
12.0ms	(/ (/ y (+ x y)) z)

series357.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ y (+ x y))
124.0ms	(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
127.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
63.0ms	(/ (/ y (+ x y)) z)

simplify1.9s

Counts

227 → 227

Iterations

Useful iterations: 2 (330.0ms)

Iter	Nodes	Cost
0	307	4061
1	656	3780
2	1590	3652
3	4809	3652
done	5000	3652

prune414.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

80.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch63.0ms

Steps

Iters	Range		Point
9	1.8285407620211187e+59	1.4744290377191018e+65	2.553261603931946e+62
7	-542359391.39979	-14583263.309321204	-412474744.9286561

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample367.0ms

Algorithm

intervals

Results

199.0ms

8000×

body

valid