Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

362×

body

valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6
done	1885	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
8.4b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite55.0ms

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×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
8.0ms	(- (* x y) (* (* z 9.0) t))
27.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series168.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (* z 9.0) t)
60.0ms	(- (* x y) (* (* z 9.0) t))
82.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify60.0ms

Counts

71 → 71

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5001	375
done	5001	375

prune212.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
8.4b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite301.0ms

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×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

16.0ms	(* z (* 9.0 t))
11.0ms	(- (* x y) (* z (* 9.0 t)))
272.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* z (* 9.0 t))
60.0ms	(- (* x y) (* z (* 9.0 t)))
83.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify62.0ms

Counts

71 → 71

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	342	437
1	1396	374
2	5001	374
done	5001	374

prune197.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
8.4b	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `associate-/l/`
5×	`add-log-exp`
4×	`associate-*r/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `flip3-+` `times-frac` `associate-l` `pow-prod-down` `flip--` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`associate-+l-` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 66

Calls

3 calls:

16.0ms	(* 9.0 (* t z))
12.0ms	(- (* x y) (* 9.0 (* t z)))
98.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

series167.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* 9.0 (* t z))
61.0ms	(- (* x y) (* 9.0 (* t z)))
83.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

simplify79.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	450	675
1	2074	572
2	5001	566
done	5001	566

prune263.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
0.3b	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
8.3b	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
35×	`add-exp-log`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-/r*`
11×	`associate-/r/`
10×	`pow1`
7×	`cbrt-undiv` `prod-exp`
6×	`flip3--` `flip--` `div-inv` `add-log-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`rec-exp` `1-exp` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `inv-pow`

Counts

4 → 127

Calls

4 calls:

18.0ms	(* (* z 9.0) t)
11.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
18.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* z 9.0) t)
61.0ms	(- (* x y) (* (* z 9.0) t))
140.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
65.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

simplify92.0ms

Counts

139 → 139

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	515	1244
1	2627	1094
2	5001	1045
done	5001	1045

prune304.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.6b

regimes630.0ms

Accuracy

71.2% (1.1b remaining)

Error of 5.1b against oracle of 4.0b and baseline of 7.8b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26
done	42	26

end0.0ms

sample804.0ms

Algorithm

intervals

Results

360.0ms

11287×

body

valid