Details

sample65.0ms

Algorithm

intervals

Results

16.0ms	230×	body	80	valid
8.0ms	25×	body	1280	valid
6.0ms	23×	body	640	valid
4.0ms	19×	body	320	valid
3.0ms	8×	body	2560	valid
2.0ms	13×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (422.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	68	9
3	209	7
4	1689	5
done	5000	5

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite39.0ms

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:

38.0ms

(* (- x z) y)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (- x z) y)

simplify8.0s

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

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
0.0b	(- (* x y) (* y y))
8.9b	(+ (- (* x y) (* y y)) (* y y))

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

309.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
16.0ms	(- (* x y) (* y y))
68.0ms	(+ (- (* x y) (* y y)) (* y y))

series173.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
76.0ms	(- (* x y) (* y y))
29.0ms	(+ (- (* x y) (* y y)) (* y y))

simplify1.6s

Counts

55 → 55

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	80	825
1	268	667
2	1507	479
done	5002	383

prune342.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(sqrt (- x z))
0.1b	(* (sqrt (- x z)) y)
0.2b	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

rewrite201.0ms

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:

15.0ms	(sqrt (- x z))
15.0ms	(sqrt (- x z))
50.0ms	(* (sqrt (- x z)) y)
115.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series476.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(sqrt (- x z))
137.0ms	(sqrt (- x z))
153.0ms	(* (sqrt (- x z)) y)
68.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

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

prune609.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x z) (- x z))
9.3b	(* (* (+ x z) (- x z)) y)
20.4b	(/ (* (* (+ x z) (- x z)) y) (+ x z))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

65.0ms	(* (+ x z) (- x z))
96.0ms	(* (* (+ x z) (- x z)) y)
131.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

series227.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (+ x z) (- x z))
93.0ms	(* (* (+ x z) (- x z)) y)
60.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

simplify3.6s

Counts

103 → 103

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	145	1456
1	449	1404
2	3835	1236
done	5001	1218

prune587.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes307.0ms

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

sample2.9s

Algorithm

intervals

Results

915.0ms	957×	body	1280	valid
739.0ms	7012×	body	80	valid
259.0ms	816×	body	640	valid
182.0ms	564×	body	320	valid
87.0ms	219×	body	2560	valid
77.0ms	569×	body	160	valid