Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

308×

body

valid

simplify989.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	56	7
4	137	7
5	203	7
6	261	7
7	351	7
8	498	7
9	623	7
10	678	7
11	682	7
done	682	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

35.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify1.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	84	448
1	240	433
2	911	401
3	3850	401
done	5002	401

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

25.0ms	(* (- z) (+ x y))
14.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- z) (+ x y))
49.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))

simplify700.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	109	766
1	370	707
2	1523	609
done	5000	609

prune112.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (- x y) (+ (* z (+ 1.0 z)) (* 1.0 1.0)))
2.4b	(* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3)))
2.5b	(- (* x x) (* y y))
32.8b	(/ (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (- x y) (+ (* z (+ 1.0 z)) (* 1.0 1.0))))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`associate-r`
20×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
19×	`flip3--` `flip--` `difference-of-squares`
16×	`frac-times`
12×	`unpow-prod-down` `cube-prod`
9×	`associate-l`
8×	`pow1` `add-cube-cbrt` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/` `sqr-pow`
6×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`difference-cubes` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 133

Calls

4 calls:

53.0ms	(* (- x y) (+ (* z (+ 1.0 z)) (* 1.0 1.0)))
91.0ms	(* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3)))
7.0ms	(- (* x x) (* y y))
67.0ms	(/ (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (- x y) (+ (* z (+ 1.0 z)) (* 1.0 1.0))))

series683.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- x y) (+ (* z (+ 1.0 z)) (* 1.0 1.0)))
128.0ms	(* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3)))
34.0ms	(- (* x x) (* y y))
454.0ms	(/ (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (- x y) (+ (* z (+ 1.0 z)) (* 1.0 1.0))))

simplify2.2s

Counts

145 → 145

Iterations

Useful iterations: 2 (878.0ms)

Iter	Nodes	Cost
0	254	3638
1	864	3429
2	4985	2891
done	5001	2891

prune427.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample435.0ms

Algorithm

intervals

Results

174.0ms	10009×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid