Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	37×	body	1280	valid
8.0ms	236×	body	80	valid
4.0ms	32×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	17×	body	160	valid
1.0ms	5×	body	2560	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1344
3	179
2	64
1	20
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

16.0ms

(* y (- x z))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* y (- x z))

simplify1.5s

Counts

29 → 29

Iterations

Iter	Nodes
done	5002
3	1699
2	383
1	125
0	52

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `distribute-rgt-out` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+ (* x y) (* (- z) y))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(+ (* x y) (* (- z) y))

simplify2.0s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	2938
2	479
1	108
0	31

prune73.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.3b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
1.5b	(sqrt (* y (- x z)))
1.5b	(sqrt (* y (- x z)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3--` `associate-r` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

28.0ms	(* y (- x z))
67.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
10.0ms	(sqrt (* y (- x z)))
10.0ms	(sqrt (* y (- x z)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* y (- x z))
124.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
74.0ms	(sqrt (* y (- x z)))
75.0ms	(sqrt (* y (- x z)))

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1186
1	294
0	127

prune574.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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-r` `associate-r/`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

14.0ms	(- (* x x) (* z z))
21.0ms	(* y (- (* x x) (* z z)))
30.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series271.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* x x) (* z z))
106.0ms	(* y (- (* x x) (* z z)))
116.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
2	2096
1	347
0	109

prune400.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
3	17
2	16
1	12
0	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

906.0ms	7093×	body	80	valid
273.0ms	916×	body	1280	valid
242.0ms	918×	body	640	valid
146.0ms	668×	body	320	valid
142.0ms	349×	body	160	valid
57.0ms	190×	body	2560	valid