Details

sample61.0ms

Algorithm

intervals

Results

26.0ms

367×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2126
8	2126
7	2120
6	2006
5	1561
4	743
3	278
2	89
1	26
0	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

14.0ms	(* (* z 9.0) t)
6.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series237.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (* z 9.0) t)
88.0ms	(- (* x y) (* (* z 9.0) t))
126.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	1596
1	328
0	116

prune428.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ (* x y) 2.0) a) (/ 9.0 (/ (/ (* 2.0 a) t) z)))
0.9b	(/ 9.0 (/ (/ (* 2.0 a) t) z))
4.2b	(/ (/ (* 2.0 a) t) z)
4.8b	(/ (/ (* x y) 2.0) a)

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

272×	`times-frac`
139×	`add-sqr-sqrt`
124×	`*-un-lft-identity`
118×	`add-cube-cbrt`
36×	`add-cbrt-cube` `add-exp-log`
31×	`associate-/r*`
27×	`div-inv`
19×	`cbrt-undiv` `div-exp`
17×	`associate-/l*`
6×	`add-log-exp` `difference-of-squares`
4×	`pow1`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
2×	`distribute-lft-out--` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `associate-/r/` `frac-sub` `flip--`

Counts

4 → 239

Calls

4 calls:

168.0ms	(- (/ (/ (* x y) 2.0) a) (/ 9.0 (/ (/ (* 2.0 a) t) z)))
20.0ms	(/ 9.0 (/ (/ (* 2.0 a) t) z))
20.0ms	(/ (/ (* 2.0 a) t) z)
22.0ms	(/ (/ (* x y) 2.0) a)

series300.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(- (/ (/ (* x y) 2.0) a) (/ 9.0 (/ (/ (* 2.0 a) t) z)))
38.0ms	(/ 9.0 (/ (/ (* 2.0 a) t) z))
33.0ms	(/ (/ (* 2.0 a) t) z)
48.0ms	(/ (/ (* x y) 2.0) a)

simplify694.0ms

Counts

251 → 251

Iterations

Iter	Nodes
done	5001
1	1270
0	458

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (/ 2.0 t) (/ a z))
13.6b	(cbrt (* (/ 2.0 t) (/ a z)))
13.6b	(cbrt (* (/ 2.0 t) (/ a z)))
13.6b	(cbrt (* (/ 2.0 t) (/ a z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
9×	`cbrt-div`
6×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 86

Calls

4 calls:

41.0ms	(* (/ 2.0 t) (/ a z))
12.0ms	(cbrt (* (/ 2.0 t) (/ a z)))
11.0ms	(cbrt (* (/ 2.0 t) (/ a z)))
12.0ms	(cbrt (* (/ 2.0 t) (/ a z)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (/ 2.0 t) (/ a z))
145.0ms	(cbrt (* (/ 2.0 t) (/ a z)))
163.0ms	(cbrt (* (/ 2.0 t) (/ a z)))
139.0ms	(cbrt (* (/ 2.0 t) (/ a z)))

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2177
1	404
0	152

prune862.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ (* x y) 2.0) (/ 1 a)) (/ 9.0 (/ (/ (* 2.0 a) t) z)))
0.9b	(/ 9.0 (/ (/ (* 2.0 a) t) z))
4.2b	(/ (/ (* 2.0 a) t) z)
4.9b	(* (/ (* x y) 2.0) (/ 1 a))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

242×	`times-frac`
118×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
111×	`add-cube-cbrt`
66×	`add-exp-log`
48×	`add-cbrt-cube`
28×	`associate-/r*` `div-exp`
24×	`div-inv`
21×	`cbrt-undiv`
18×	`prod-exp`
13×	`associate-r`
10×	`cbrt-unprod` `associate-/l*`
7×	`associate-l`
6×	`pow1` `add-log-exp`
4×	`frac-sub`
3×	`rec-exp` `1-exp` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/` `un-div-inv`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-/r/` `*-commutative` `flip--` `associate-/l/`

Counts

4 → 240

Calls

4 calls:

49.0ms	(- (* (/ (* x y) 2.0) (/ 1 a)) (/ 9.0 (/ (/ (* 2.0 a) t) z)))
14.0ms	(/ 9.0 (/ (/ (* 2.0 a) t) z))
17.0ms	(/ (/ (* 2.0 a) t) z)
38.0ms	(* (/ (* x y) 2.0) (/ 1 a))

series279.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (* (/ (* x y) 2.0) (/ 1 a)) (/ 9.0 (/ (/ (* 2.0 a) t) z)))
42.0ms	(/ 9.0 (/ (/ (* 2.0 a) t) z))
42.0ms	(/ (/ (* 2.0 a) t) z)
39.0ms	(* (/ (* x y) 2.0) (/ 1 a))

simplify785.0ms

Counts

252 → 252

Iterations

Iter	Nodes
done	5000
1	1366
0	460

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes1.4s

Accuracy

45.7% (4.7b remaining)

Error of 4.7b against oracle of 0.0b and baseline of 8.7b

bsearch1.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	77
3	77
2	74
1	67
0	54

end0.0ms

sample1.7s

Algorithm

intervals

Results

860.0ms

11297×

body

valid