Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

278×

body

valid

simplify106.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	37	11
3	58	11
4	87	11
5	111	11
done	111	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
3.8b	(* y (+ 1.0 (* z z)))
3.8b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `add-log-exp`
4×	`associate-*r/`
3×	`flip3-+` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
2×	`associate-/r/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

6.0ms	(+ 1.0 (* z z))
21.0ms	(* y (+ 1.0 (* z z)))
34.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series214.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ 1.0 (* z z))
78.0ms	(* y (+ 1.0 (* z z)))
91.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	165	1186
1	416	1154
2	1375	990
done	5001	986

prune327.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.9b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
3.2b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
4.6b	(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

275×	`times-frac`
168×	`add-sqr-sqrt`
142×	`add-cube-cbrt` `*-un-lft-identity`
72×	`associate-r`
65×	`cbrt-prod`
44×	`add-exp-log`
34×	`add-cbrt-cube`
22×	`associate-/l*`
18×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`div-inv`
8×	`unswap-sqr`
7×	`associate-l`
5×	`pow1` `add-log-exp`
4×	`associate-/r/`
3×	`flip3-+` `associate-/r*` `flip-+`
1×	`+-commutative` `frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `*-commutative` `associate-/l/`

Counts

3 → 236

Calls

3 calls:

6.0ms	(+ 1.0 (* z z))
99.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
48.0ms	(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

series441.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ 1.0 (* z z))
208.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
199.0ms	(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

simplify2.4s

Counts

245 → 245

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	385	5418
1	1149	5167
2	4285	4651
done	5000	4511

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
0.2b	(/ (/ 1.0 x) y)
6.4b	(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
56×	`associate-/l*`
22×	`div-inv`
17×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`add-log-exp`
3×	`pow1`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 275

Calls

3 calls:

9.0ms	(+ 1.0 (* z z))
12.0ms	(/ (/ 1.0 x) y)
43.0ms	(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ 1.0 (* z z))
36.0ms	(/ (/ 1.0 x) y)
84.0ms	(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

simplify2.2s

Counts

284 → 284

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	485	5780
1	1126	5494
2	3036	5348
done	5000	5344

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow z 2) 1.0)
0.6b	(/ (/ 1.0 1) (* y (* (+ (pow z 2) 1.0) x)))
3.4b	(* y (* (+ (pow z 2) 1.0) x))
4.3b	(* (+ (pow z 2) 1.0) x)

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
32×	`add-cbrt-cube`
31×	`times-frac`
25×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
15×	`div-exp`
13×	`prod-exp` `associate-/l*`
11×	`pow1`
10×	`cbrt-unprod`
9×	`cbrt-undiv`
7×	`associate-l`
6×	`associate-*l/` `add-log-exp`
4×	`flip3-+` `associate-r/` `associate-r*` `pow-prod-down` `flip-+`
3×	`1-exp` `div-inv`
2×	`associate-/r/` `*-commutative` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `associate-/l/` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

23.0ms	(+ (pow z 2) 1.0)
89.0ms	(/ (/ 1.0 1) (* y (* (+ (pow z 2) 1.0) x)))
47.0ms	(* y (* (+ (pow z 2) 1.0) x))
74.0ms	(* (+ (pow z 2) 1.0) x)

series237.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (pow z 2) 1.0)
82.0ms	(/ (/ 1.0 1) (* y (* (+ (pow z 2) 1.0) x)))
53.0ms	(* y (* (+ (pow z 2) 1.0) x))
63.0ms	(* (+ (pow z 2) 1.0) x)

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	201	1787
1	497	1530
2	1589	1276
done	5002	1276

prune320.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.8b

regimes366.0ms

Accuracy

0% (1.4b remaining)

Error of 6.5b against oracle of 5.1b and baseline of 6.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	14	18
done	14	18

end0.0ms

sample906.0ms

Algorithm

intervals

Results

521.0ms

8596×

body

valid