Details

sample67.0ms

Algorithm

intervals

Results

16.0ms	230×	body	80	valid
8.0ms	25×	body	1280	valid
7.0ms	25×	body	640	valid
4.0ms	21×	body	320	valid
3.0ms	8×	body	2560	valid
1.0ms	9×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	9	15
1	20	15
2	64	7
3	179	5
4	1346	5
done	5000	5

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite53.0ms

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:

52.0ms

(* (- x z) y)

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* (- x z) y)

simplify8.2s

Counts

25 → 25

Iterations

Useful iterations: 3 (1.2s)

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

prune154.0ms

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

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

80.0ms	(- (- (* x y) (* y z)) (* y y))
12.0ms	(- (* x y) (* y z))
252.0ms	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

series176.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (- (* x y) (* y z)) (* y y))
62.0ms	(- (* x y) (* y z))
60.0ms	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

simplify1.4s

Counts

56 → 56

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	81	883
1	261	703
2	1467	517
done	5000	489

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

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))

rewrite204.0ms

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:

14.0ms	(sqrt (- x z))
18.0ms	(sqrt (- x z))
56.0ms	(* (sqrt (- x z)) y)
108.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series437.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(sqrt (- x z))
116.0ms	(sqrt (- x z))
140.0ms	(* (sqrt (- x z)) y)
61.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

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

prune639.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

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))

rewrite300.0ms

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:

69.0ms	(* (+ x z) (- x z))
104.0ms	(* (* (+ x z) (- x z)) y)
120.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

series240.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (+ x z) (- x z))
91.0ms	(* (* (+ x z) (- x z)) y)
59.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

simplify3.9s

Counts

103 → 103

Iterations

Useful iterations: done (3.9s)

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

prune605.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes323.0ms

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

sample3.0s

Algorithm

intervals

Results

877.0ms	991×	body	1280	valid
838.0ms	7012×	body	80	valid
314.0ms	896×	body	640	valid
131.0ms	636×	body	320	valid
103.0ms	383×	body	160	valid
94.0ms	219×	body	2560	valid