Details

sample46.0ms

Algorithm

intervals

Results

11.0ms	234×	body	80	valid
6.0ms	24×	body	1280	valid
5.0ms	29×	body	640	valid
2.0ms	16×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	5×	body	2560	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.7s)

Iter	Nodes	Cost
0	9	15
1	23	13
2	75	11
3	215	9
4	741	7
5	4690	5
done	5000	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite29.0ms

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×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

29.0ms

(* (- x z) y)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (- x z) y)

simplify4.4s

Counts

27 → 27

Iterations

Useful iterations: 3 (779.0ms)

Iter	Nodes	Cost
0	51	197
1	114	190
2	447	172
3	4961	170
done	5000	170

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

49.0ms	(- (+ (* x y) (* y y)) (* y z))
8.0ms	(+ (* x y) (* y y))
251.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (+ (* x y) (* y y)) (* y z))
48.0ms	(+ (* x y) (* y y))
44.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify4.1s

Counts

83 → 83

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	104	1253
1	319	1049
2	1921	850
done	5000	792

prune253.0ms

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))

rewrite151.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

17.0ms	(sqrt (- x z))
22.0ms	(sqrt (- x z))
24.0ms	(* (sqrt (- x z)) y)
84.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series352.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sqrt (- x z))
84.0ms	(sqrt (- x z))
140.0ms	(* (sqrt (- x z)) y)
42.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify870.0ms

Counts

111 → 111

Iterations

Useful iterations: done (866.0ms)

Iter	Nodes	Cost
0	134	1273
1	330	1152
2	1301	940
done	5001	920

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite162.0ms

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×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

2 → 65

Calls

2 calls:

70.0ms	(* (* (+ x z) (- x z)) y)
90.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

series115.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (* (+ x z) (- x z)) y)
44.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

simplify2.1s

Counts

71 → 71

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	126	1068
1	384	1023
2	2997	883
done	5001	865

prune246.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes108.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

882.0ms	6922×	body	80	valid
399.0ms	943×	body	1280	valid
308.0ms	941×	body	640	valid
99.0ms	640×	body	320	valid
68.0ms	214×	body	2560	valid
35.0ms	342×	body	160	valid