Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

347×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	88	13
3	275	13
4	669	13
5	1179	13
6	1405	13
7	1424	13
done	1424	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite21.0ms

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:

6.0ms	(* (* z 9.0) t)
2.0ms	(- (* x y) (* (* z 9.0) t))
10.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
53.0ms	(- (* x y) (* (* z 9.0) t))
63.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify524.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	116	858
1	327	827
2	1288	711
done	5001	711

prune174.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.5b	(- (* x y) (* z (* 9.0 t)))
9.3b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite17.0ms

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:

6.0ms	(* z (* 9.0 t))
2.0ms	(- (* x y) (* z (* 9.0 t)))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* z (* 9.0 t))
56.0ms	(- (* x y) (* z (* 9.0 t)))
67.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify501.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	114	855
1	319	826
2	1226	710
done	5000	710

prune171.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(- (* x y) (* 9.0 (* t z)))
9.3b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite20.0ms

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:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
10.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 9.0 (* t z))
54.0ms	(- (* x y) (* 9.0 (* t z)))
63.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.5s

Counts

63 → 63

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	111	855
1	312	826
2	1140	710
3	4733	710
done	5000	710

prune168.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.4b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite40.0ms

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-r`
14×	`associate-l`
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:

7.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
6.0ms	(* (* z 9.0) t)
2.0ms	(- (* x y) (* (* z 9.0) t))
21.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
18.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
117.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify774.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (215.0ms)

Iter	Nodes	Cost
0	202	2178
1	569	2025
2	1983	1769
done	5000	1769

prune297.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.4b

regimes443.0ms

Accuracy

0% (0.5b remaining)

Error of 8.0b against oracle of 7.6b and baseline of 8.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	16	13
done	16	13

end0.0ms

sample721.0ms

Algorithm

intervals

Results

388.0ms

11159×

body

valid