Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

341×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	89	13
3	278	13
4	743	13
5	1598	13
6	2044	13
7	2153	13
8	2159	13
done	2159	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
7.1b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

14.0ms	(- (* x y) (* (* z 9.0) t))
33.0ms	(* (* z 9.0) t)
27.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series208.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (* x y) (* (* z 9.0) t))
32.0ms	(* (* z 9.0) t)
88.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.1s

Counts

63 → 63

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	116	858
1	328	827
2	1593	711
done	5000	711

prune236.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.1b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

9.0ms	(- (* x y) (* z (* 9.0 t)))
24.0ms	(* z (* 9.0 t))
23.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- (* x y) (* z (* 9.0 t)))
20.0ms	(* z (* 9.0 t))
87.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	114	855
1	316	826
2	1276	710
done	5000	710

prune209.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ (* t z) a))
5.4b	(/ (* x y) a)
5.6b	(/ (* t z) a)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

32.0ms	(* 0.5 (/ (* x y) a))
19.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* x y) a)
14.0ms	(/ (* t z) a)

series137.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 0.5 (/ (* x y) a))
35.0ms	(* 4.5 (/ (* t z) a))
27.0ms	(/ (* x y) a)
26.0ms	(/ (* t z) a)

simplify1.6s

Counts

108 → 108

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	146	980
1	408	946
2	2224	806
done	5000	774

prune299.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ t (/ a z)))
5.4b	(/ (* x y) a)
5.9b	(/ t (/ a z))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`add-cube-cbrt` `*-un-lft-identity`
51×	`associate-r`
32×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
8×	`pow1` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r/` `-commutative`

Counts

4 → 184

Calls

4 calls:

40.0ms	(* 0.5 (/ (* x y) a))
43.0ms	(* 4.5 (/ t (/ a z)))
12.0ms	(/ (* x y) a)
15.0ms	(/ t (/ a z))

series165.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 0.5 (/ (* x y) a))
48.0ms	(* 4.5 (/ t (/ a z)))
37.0ms	(/ (* x y) a)
38.0ms	(/ t (/ a z))

simplify1.8s

Counts

196 → 196

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	289	2134
1	817	2016
2	4223	1820
done	5000	1804

prune731.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes644.0ms

Accuracy

88.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.0b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	33	71
1	48	57
done	48	57

end0.0ms

sample1.7s

Algorithm

intervals

Results

893.0ms

11156×

body

valid