Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify63.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
4.0b	(* y (+ 1.0 (* z z)))
4.1b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite39.0ms

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:

5.0ms	(+ 1.0 (* z z))
15.0ms	(* y (+ 1.0 (* z z)))
17.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series143.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ 1.0 (* z z))
50.0ms	(* y (+ 1.0 (* z z)))
60.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.0s

Counts

90 → 90

Iterations

Useful iterations: done (999.0ms)

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

prune185.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
3.7b	(/ (/ 1 x) (+ 1.0 (* z z)))
3.7b	(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

164×	`times-frac`
115×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
87×	`add-cube-cbrt`
47×	`add-exp-log`
45×	`associate-r`
29×	`add-cbrt-cube`
23×	`div-exp`
13×	`associate-l` `associate-/l*`
12×	`cbrt-undiv`
10×	`prod-exp` `div-inv`
8×	`unswap-sqr`
6×	`cbrt-unprod`
5×	`pow1` `add-log-exp`
4×	`associate-/r/`
3×	`rec-exp` `flip3-+` `1-exp` `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 → 179

Calls

3 calls:

5.0ms	(+ 1.0 (* z z))
16.0ms	(/ (/ 1 x) (+ 1.0 (* z z)))
49.0ms	(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))

series146.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ 1.0 (* z z))
56.0ms	(/ (/ 1 x) (+ 1.0 (* z z)))
58.0ms	(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))

simplify1.3s

Counts

188 → 188

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	301	3363
1	847	3002
2	2337	2665
done	5001	2645

prune365.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
3.6b	(/ (/ (cbrt 1.0) y) (* (+ 1.0 (* z z)) x))
3.6b	(* (+ 1.0 (* z z)) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

5.0ms	(+ 1.0 (* z z))
19.0ms	(/ (/ (cbrt 1.0) y) (* (+ 1.0 (* z z)) x))
17.0ms	(* (+ 1.0 (* z z)) x)

series215.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ 1.0 (* z z))
137.0ms	(/ (/ (cbrt 1.0) y) (* (+ 1.0 (* z z)) x))
41.0ms	(* (+ 1.0 (* z z)) x)

simplify1.1s

Counts

106 → 106

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	201	1572
1	467	1527
2	1612	1371
done	5000	1366

prune289.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow z 2) 1.0)
0.6b	(/ (cbrt 1.0) (* (* x (+ (pow z 2) 1.0)) y))
3.4b	(* (* x (+ (pow z 2) 1.0)) y)
3.6b	(* x (+ (pow z 2) 1.0))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

14.0ms	(+ (pow z 2) 1.0)
46.0ms	(/ (cbrt 1.0) (* (* x (+ (pow z 2) 1.0)) y))
53.0ms	(* (* x (+ (pow z 2) 1.0)) y)
39.0ms	(* x (+ (pow z 2) 1.0))

series271.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (pow z 2) 1.0)
130.0ms	(/ (cbrt 1.0) (* (* x (+ (pow z 2) 1.0)) y))
53.0ms	(* (* x (+ (pow z 2) 1.0)) y)
51.0ms	(* x (+ (pow z 2) 1.0))

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	145	1261
1	374	1215
2	1371	1037
done	5001	1034

prune244.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 2.5b

regimes342.0ms

Accuracy

82% (0.3b remaining)

Error of 2.4b against oracle of 2.1b and baseline of 3.7b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	85
1	46	60
done	46	60

end0.0ms

sample453.0ms

Algorithm

intervals

Results

225.0ms

8656×

body

valid