Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

353×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	247
1	26	247
2	86	247
3	269	247
4	671	247
5	1172	247
6	1408	247
7	1440	247
done	1440	247

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
8.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite83.0ms

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:

27.0ms	(* (* z 9.0) t)
13.0ms	(- (* x y) (* (* z 9.0) t))
41.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series205.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (* z 9.0) t)
86.0ms	(- (* x y) (* (* z 9.0) t))
90.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify4.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (354.0ms)

Iter	Nodes	Cost
0	116	15122
1	328	14250
2	1148	13770
3	4719	13770
done	5000	13770

prune497.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.7b

localize34.0ms

Local error

Found 3 expressions with local error:

0.3b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
8.5b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite54.0ms

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-l` `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-r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

13.0ms	(* 9.0 (* t z))
7.0ms	(- (* x y) (* 9.0 (* t z)))
33.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series200.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* 9.0 (* t z))
70.0ms	(- (* x y) (* 9.0 (* t z)))
108.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify3.9s

Counts

63 → 63

Iterations

Useful iterations: 2 (353.0ms)

Iter	Nodes	Cost
0	111	15082
1	309	14251
2	1059	13771
3	4263	13771
done	5000	13771

prune453.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 9.0) (* t z))
0.3b	(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
0.3b	(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
8.5b	(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

22.0ms	(* (sqrt 9.0) (* t z))
58.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
15.0ms	(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
44.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

series665.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (sqrt 9.0) (* t z))
109.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
191.0ms	(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
314.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	138	26783
1	388	19526
2	1600	18966
done	5000	18766

prune558.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt 9.0) t) z)
0.3b	(* (sqrt 9.0) (* (* (sqrt 9.0) t) z))
0.3b	(- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z)))
8.5b	(/ (- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z))) (* a 2.0))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

19.0ms	(* (* (sqrt 9.0) t) z)
88.0ms	(* (sqrt 9.0) (* (* (sqrt 9.0) t) z))
7.0ms	(- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z)))
18.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z))) (* a 2.0))

series626.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (sqrt 9.0) t) z)
103.0ms	(* (sqrt 9.0) (* (* (sqrt 9.0) t) z))
170.0ms	(- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z)))
308.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z))) (* a 2.0))

simplify2.3s

Counts

90 → 90

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	142	26485
1	406	23477
2	1547	22997
done	5002	18197

prune588.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.7b

regimes1.6s

Accuracy

0% (0.4b remaining)

Error of 7.8b against oracle of 7.3b and baseline of 7.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	327
1	20	327
done	20	327

end0.0ms

sample1.5s

Algorithm

intervals

Results

776.0ms

11074×

body

valid