Details

sample64.0ms

Algorithm

intervals

Results

16.0ms	37×	body	1280	valid
14.0ms	236×	body	80	valid
7.0ms	32×	body	640	valid
3.0ms	17×	body	320	valid
2.0ms	17×	body	160	valid
2.0ms	5×	body	2560	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4000
4	612
3	172
2	65
1	22
0	9

prune19.0ms

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)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

20.0ms

(* (- x z) y)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (- x z) y)

simplify724.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	440
1	110
0	49

prune84.0ms

Pruning

5 alts after pruning (4 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))
8.5b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

31.0ms	(- (+ (* x y) (* y y)) (* y z))
7.0ms	(+ (* x y) (* y y))
163.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (+ (* x y) (* y y)) (* y z))
47.0ms	(+ (* x y) (* y y))
49.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify1.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	1357
1	262
0	83

prune292.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

19.0ms	(* (- x z) (sqrt y))
37.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

series105.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (- x z) (sqrt y))
38.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

simplify1.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1048
1	216
0	85

prune213.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

2.2b	(- (* x x) (* z z))
8.3b	(* (- (* x x) (* z z)) y)
23.5b	(/ (* (- (* x x) (* z z)) y) (+ x z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

6.0ms	(- (* x x) (* z z))
28.0ms	(* (- (* x x) (* z z)) y)
23.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

series205.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x x) (* z z))
71.0ms	(* (- (* x x) (* z z)) y)
92.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	2160
1	319
0	106

prune280.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes285.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

526.0ms	7093×	body	80	valid
286.0ms	914×	body	640	valid
262.0ms	922×	body	1280	valid
147.0ms	667×	body	320	valid
60.0ms	190×	body	2560	valid
33.0ms	348×	body	160	valid