Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

362×

body

valid

simplify65.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6
done	1730	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize9.0ms

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))

rewrite48.0ms

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:

16.0ms	(* (* z 9.0) t)
7.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series138.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (* z 9.0) t)
52.0ms	(- (* x y) (* (* z 9.0) t))
68.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341
done	5002	341

prune151.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize13.0ms

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))

rewrite45.0ms

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:

15.0ms	(* z (* 9.0 t))
8.0ms	(- (* x y) (* z (* 9.0 t)))
21.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* z (* 9.0 t))
57.0ms	(- (* x y) (* z (* 9.0 t)))
71.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify45.0ms

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5002	340
done	5002	340

prune140.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.6b

localize10.0ms

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))) (* a 2.0))

rewrite45.0ms

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:

15.0ms	(* 9.0 (* t z))
8.0ms	(- (* x y) (* 9.0 (* t z)))
21.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 9.0 (* t z))
57.0ms	(- (* x y) (* 9.0 (* t z)))
70.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify45.0ms

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5002	340
done	5002	340

prune146.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.6b

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))))

rewrite69.0ms

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×	`associate-/l*`
3×	`rec-exp` `1-exp` `associate-l` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r` `*-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

15.0ms	(* z (* 9.0 t))
11.0ms	(- (* x y) (* z (* 9.0 t)))
22.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* z (* 9.0 t)))))
17.0ms	(/ (* a 2.0) (- (* x y) (* z (* 9.0 t))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* z (* 9.0 t))
52.0ms	(- (* x y) (* z (* 9.0 t)))
119.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* z (* 9.0 t)))))
60.0ms	(/ (* a 2.0) (- (* x y) (* z (* 9.0 t))))

simplify67.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	486	1192
1	2398	1049
2	5001	1002
done	5001	1002

prune230.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.6b

regimes434.0ms

Accuracy

0% (0.5b remaining)

Error of 7.8b against oracle of 7.3b and baseline of 7.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6
done	17	6

end0.0ms

sample800.0ms

Algorithm

intervals

Results

361.0ms

11287×

body

valid