Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify444.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	30	9
4	41	9
5	46	9
6	52	9
7	69	9
8	99	9
9	155	9
10	227	9
11	263	9
12	293	9
13	318	9
done	318	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

10.0ms	(* (- x 1.0) z)
3.0ms	(+ (* x y) (* (- x 1.0) z))

series62.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- x 1.0) z)
30.0ms	(+ (* x y) (* (- x 1.0) z))

simplify1.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	71	405
1	197	373
2	721	345
3	3029	345
done	5000	345

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
0.0b	(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
2.7b	(* (- (pow x 3) (pow 1.0 3)) z)
11.2b	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-l`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-*l/` `sum-log`
3×	`flip3-+` `times-frac` `associate-r` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/`
1×	`difference-cubes` `associate-+r+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
29.0ms	(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
61.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
40.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
85.0ms	(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
39.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
83.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify722.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	175	2058
1	512	1778
2	2212	1588
done	5000	1588

prune310.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ z y))
0.0b	(- (* x (+ z y)) (* 1.0 z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate--l+`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

11.0ms	(* x (+ z y))
6.0ms	(- (* x (+ z y)) (* 1.0 z))

series63.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* x (+ z y))
37.0ms	(- (* x (+ z y)) (* 1.0 z))

simplify1.5s

Counts

43 → 43

Iterations

Useful iterations: 3 (293.0ms)

Iter	Nodes	Cost
0	71	430
1	205	398
2	724	370
3	2682	368
done	5001	368

prune81.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* y x) (* 1.0 z))
0.0b	(+ (* x z) (- (* y x) (* 1.0 z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+r+` `*-un-lft-identity` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

2 → 27

Calls

2 calls:

3.0ms	(- (* y x) (* 1.0 z))
7.0ms	(+ (* x z) (- (* y x) (* 1.0 z)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* y x) (* 1.0 z))
34.0ms	(+ (* x z) (- (* y x) (* 1.0 z)))

simplify735.0ms

Counts

33 → 33

Iterations

Useful iterations: 3 (187.0ms)

Iter	Nodes	Cost
0	55	459
1	181	391
2	553	369
3	1947	367
done	5001	367

prune57.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample437.0ms

Algorithm

intervals

Results

237.0ms

10036×

body

valid