Details

sample79.0ms

Algorithm

intervals

Results

46.0ms

378×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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:

0.2b	(* (* z 9.0) t)
0.2b	(- (* x y) (* (* z 9.0) t))
7.2b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite88.0ms

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:

33.0ms	(* (* z 9.0) t)
17.0ms	(- (* x y) (* (* z 9.0) t))
35.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series217.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (* z 9.0) t)
69.0ms	(- (* x y) (* (* z 9.0) t))
113.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts

63 → 63

Iterations

Useful iterations: 2 (327.0ms)

Iter	Nodes	Cost
0	116	858
1	324	827
2	1251	711
done	5001	711

prune271.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.2b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite98.0ms

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)))
33.0ms	(* z (* 9.0 t))
54.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series201.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- (* x y) (* z (* 9.0 t)))
21.0ms	(* z (* 9.0 t))
99.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (236.0ms)

Iter	Nodes	Cost
0	114	855
1	316	826
2	1231	710
done	5000	710

prune244.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.2b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.2b	(- (* x y) (* (* z 9.0) t))
7.2b	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

35.0ms	(* (* z 9.0) t)
15.0ms	(- (* x y) (* (* z 9.0) t))
461.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (* z 9.0) t)
82.0ms	(- (* x y) (* (* z 9.0) t))
109.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

simplify1.5s

Counts

75 → 75

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	144	1147
1	374	1038
2	1370	882
done	5000	882

prune292.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 4.5 (/ (* t z) a))
0.2b	(* 0.5 (/ (* x y) a))
5.2b	(/ (* x y) a)
6.4b	(/ (* t z) a)

rewrite85.0ms

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:

23.0ms	(* 4.5 (/ (* t z) a))
20.0ms	(* 0.5 (/ (* x y) a))
12.0ms	(/ (* x y) a)
27.0ms	(/ (* t z) a)

series159.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 4.5 (/ (* t z) a))
37.0ms	(* 0.5 (/ (* x y) a))
35.0ms	(/ (* x y) a)
39.0ms	(/ (* t z) a)

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	146	980
1	368	946
2	1365	774
done	5000	774

prune326.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.7b

regimes998.0ms

Accuracy

28.3% (5.3b remaining)

Error of 5.8b against oracle of 0.5b and baseline of 7.9b

bsearch4.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	45	113
1	56	113
done	56	113

end1.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

11160×

body

valid