Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

321×

body

valid

simplify286.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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:

19.0ms	(+ (* x y) (* (- 1.0 x) z))
37.0ms	(* (- 1.0 x) z)

series104.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* x y) (* (- 1.0 x) z))
57.0ms	(* (- 1.0 x) z)

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	71	405
1	185	379
2	676	345
3	3001	345
done	5001	345

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
0.0b	(+ (* x x) (* 1.0 x))
2.9b	(* (- (pow 1.0 3) (pow x 3)) z)
9.1b	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite367.0ms

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`
8×	`add-cube-cbrt` `add-log-exp` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-*l/`
3×	`flip3-+` `times-frac` `associate-r` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `flip3--` `div-exp` `prod-exp` `sum-log` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/`
1×	`difference-cubes` `distribute-rgt-out` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

102.0ms	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
17.0ms	(+ (* x x) (* 1.0 x))
118.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
126.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
73.0ms	(+ (* x x) (* 1.0 x))
60.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
101.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.5s

Counts

102 → 102

Iterations

Useful iterations: 2 (458.0ms)

Iter	Nodes	Cost
0	177	1962
1	514	1684
2	2136	1514
done	5000	1514

prune455.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
0.1b	(* (- 1.0 x) (sqrt z))
0.3b	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

13.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
26.0ms	(* (- 1.0 x) (sqrt z))
76.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

series205.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
75.0ms	(* (- 1.0 x) (sqrt z))
60.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify3.4s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	118	889
1	319	675
2	1024	605
3	4023	597
done	5000	597

prune159.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample963.0ms

Algorithm

intervals

Results

419.0ms

10100×

body

valid