Details

sample43.0ms

Algorithm

intervals

Results

23.0ms

349×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
13	4795
12	3891
11	2792
10	1999
9	1375
8	1132
7	1004
6	743
5	510
4	336
3	192
2	80
1	34
0	17

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.5b	(* (* a 27.0) b)
5.2b	(* (* (* y 9.0) z) t)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 72

Calls

4 calls:

26.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
14.0ms	(* (* y 9.0) z)
14.0ms	(* (* a 27.0) b)
49.0ms	(* (* (* y 9.0) z) t)

series283.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
23.0ms	(* (* y 9.0) z)
28.0ms	(* (* a 27.0) b)
29.0ms	(* (* (* y 9.0) z) t)

simplify1.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5003
2	1367
1	378
0	140

prune543.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
5.2b	(* (* (* y 9.0) z) t)

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 72

Calls

4 calls:

38.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
20.0ms	(* (* y 9.0) z)
19.0ms	(* 27.0 (* a b))
70.0ms	(* (* (* y 9.0) z) t)

series285.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
23.0ms	(* (* y 9.0) z)
22.0ms	(* 27.0 (* a b))
38.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1286
1	362
0	136

prune473.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y 9.0) z)
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
0.3b	(* (sqrt 27.0) (* a b))
5.2b	(* (* (* y 9.0) z) t)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
6×	`sqrt-prod`
4×	`*-commutative` `add-log-exp`

Counts

4 → 84

Calls

4 calls:

15.0ms	(* (* y 9.0) z)
41.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
18.0ms	(* (sqrt 27.0) (* a b))
46.0ms	(* (* (* y 9.0) z) t)

series186.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* y 9.0) z)
86.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
45.0ms	(* (sqrt 27.0) (* a b))
28.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1390
1	341
0	130

prune573.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 27.0) (* a b))
0.3b	(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b)))
0.3b	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b))))
5.2b	(* (* (* y 9.0) z) t)

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-cbrt-cube` `add-exp-log`
25×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`sqrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`

Counts

4 → 99

Calls

4 calls:

16.0ms	(* (sqrt 27.0) (* a b))
46.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b)))
131.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b))))
52.0ms	(* (* (* y 9.0) z) t)

series413.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (sqrt 27.0) (* a b))
196.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b)))
111.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b))))
41.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1558
1	412
0	151

prune691.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

81% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch198.0ms

Steps

Iters	Range		Point
9	2.9351300233767047e-81	1.1944211286488859e-73	8.97312458660111e-74
8	-5.8228531841923645e+20	-1.972074682316576e+16	-3.4357668787301574e+17

simplify10.0ms

Iterations

Iter	Nodes
done	46
1	46
0	30

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

11029×

body

valid