Details

sample43.0ms

Algorithm

intervals

Results

11.0ms	16×	body	160	valid
8.0ms	234×	body	80	valid
4.0ms	24×	body	1280	valid
4.0ms	29×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	5×	body	2560	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 5 (963.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	65	11
3	170	9
4	608	7
5	3990	5
done	5000	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

26.0ms

(* (- x z) y)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (- x z) y)

simplify5.9s

Counts

25 → 25

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	49	185
1	110	178
2	431	160
3	4801	158
done	5000	158

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (* y y)) (* y z))
0.0b	(+ (* x y) (* y y))
9.1b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`diff-log`
5×	`associate--l+`
4×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `distribute-rgt-out` `*-un-lft-identity` `sum-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 47

Calls

3 calls:

45.0ms	(- (+ (* x y) (* y y)) (* y z))
16.0ms	(+ (* x y) (* y y))
213.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series124.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (+ (* x y) (* y y)) (* y z))
41.0ms	(+ (* x y) (* y y))
39.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify1.1s

Counts

56 → 56

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	83	877
1	262	712
2	1381	577
done	5000	561

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(sqrt (- x z))
0.1b	(* (sqrt (- x z)) y)
0.1b	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

7.0ms	(sqrt (- x z))
8.0ms	(sqrt (- x z))
32.0ms	(* (sqrt (- x z)) y)
66.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series364.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (- x z))
84.0ms	(sqrt (- x z))
126.0ms	(* (sqrt (- x z)) y)
52.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify800.0ms

Counts

103 → 103

Iterations

Useful iterations: done (795.0ms)

Iter	Nodes	Cost
0	128	1215
1	314	1099
2	1219	919
done	5001	871

prune266.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

8.2b	(* (* (+ x z) (- x z)) y)
19.8b	(/ (* (* (+ x z) (- x z)) y) (+ x z))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
16×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
8×	`frac-times` `associate-/l/`
7×	`pow1` `flip3-+` `flip-+`
6×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`times-frac` `associate-r/` `associate-/r`
3×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down`
2×	`associate-/r/` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

2 → 61

Calls

2 calls:

53.0ms	(* (* (+ x z) (- x z)) y)
85.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

series104.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (* (+ x z) (- x z)) y)
41.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

simplify1.8s

Counts

67 → 67

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	122	1020
1	380	981
2	2948	835
done	5000	823

prune208.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes105.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

682.0ms	943×	body	1280	valid
403.0ms	6922×	body	80	valid
252.0ms	941×	body	640	valid
122.0ms	640×	body	320	valid
94.0ms	214×	body	2560	valid
34.0ms	342×	body	160	valid