Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

361×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	89	13
3	277	13
4	717	13
5	1212	13
6	1404	13
7	1419	13
done	1419	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
5.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite65.0ms

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:

11.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(* (* z 9.0) t)
28.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series215.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (* x y) (* (* z 9.0) t))
27.0ms	(* (* z 9.0) t)
106.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.2s

Counts

63 → 63

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	116	858
1	324	827
2	1253	711
done	5001	711

prune223.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.4b	(/ (* x y) a)
5.5b	(/ (* t z) a)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

37.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
33.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* x y) a)
18.0ms	(/ (* t z) a)

series236.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
46.0ms	(* 4.5 (/ (* t z) a))
30.0ms	(/ (* x y) a)
22.0ms	(/ (* t z) a)

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	144	1055
1	375	1008
2	1413	874
done	5000	874

prune320.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite93.0ms

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:

32.0ms	(* z (* 9.0 t))
17.0ms	(- (* x y) (* z (* 9.0 t)))
40.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series212.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* z (* 9.0 t))
73.0ms	(- (* x y) (* z (* 9.0 t)))
118.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	114	855
1	316	826
2	1232	710
done	5000	710

prune235.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 9.0 t))
0.2b	(/ (- (* x y) (* z (* 9.0 t))) 2.0)
0.3b	(- (* x y) (* z (* 9.0 t)))
5.7b	(* (/ 1 a) (/ (- (* x y) (* z (* 9.0 t))) 2.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`times-frac`
33×	`add-exp-log`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
23×	`add-cbrt-cube`
16×	`associate-l`
14×	`associate-r`
11×	`pow1` `prod-exp`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`add-log-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`pow-prod-down`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`rec-exp` `flip3--` `1-exp` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 116

Calls

4 calls:

28.0ms	(* z (* 9.0 t))
36.0ms	(/ (- (* x y) (* z (* 9.0 t))) 2.0)
19.0ms	(- (* x y) (* z (* 9.0 t)))
37.0ms	(* (/ 1 a) (/ (- (* x y) (* z (* 9.0 t))) 2.0))

series353.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* z (* 9.0 t))
96.0ms	(/ (- (* x y) (* z (* 9.0 t))) 2.0)
80.0ms	(- (* x y) (* z (* 9.0 t)))
153.0ms	(* (/ 1 a) (/ (- (* x y) (* z (* 9.0 t))) 2.0))

simplify1.4s

Counts

128 → 128

Iterations

Useful iterations: 2 (353.0ms)

Iter	Nodes	Cost
0	200	2175
1	537	2024
2	1924	1768
done	5000	1768

prune370.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

regimes843.0ms

Accuracy

21.8% (5.6b remaining)

Error of 6.1b against oracle of 0.5b and baseline of 7.6b

bsearch2.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	99
1	59	99
done	59	99

end0.0ms

sample1.9s

Algorithm

intervals

Results

733.0ms

11154×

body

valid