Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	318×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
4	47
3	42
2	28
1	18
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

10.0ms	(+ (* x (+ y z)) (* z 5.0))
31.0ms	(* x (+ y z))

series62.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x (+ y z)) (* z 5.0))
30.0ms	(* x (+ y z))

simplify642.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	1054
1	226
0	72

prune200.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* y x) (* x z)) (* z 5.0))
0.0b	(+ (* y x) (* x z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

28.0ms	(+ (+ (* y x) (* x z)) (* z 5.0))
6.0ms	(+ (* y x) (* x z))

series87.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (+ (* y x) (* x z)) (* z 5.0))
44.0ms	(+ (* y x) (* x z))

simplify657.0ms

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
2	885
1	184
0	55

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* y x) (* z (+ x 5.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

21.0ms	(* z (+ x 5.0))
7.0ms	(+ (* y x) (* z (+ x 5.0)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* z (+ x 5.0))
57.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify570.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5002
2	1057
1	228
0	72

prune179.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ (* (* (- x 5.0) (+ x 5.0)) z) (- x 5.0)))
3.3b	(* (* (- x 5.0) (+ x 5.0)) z)
5.0b	(/ (* (* (- x 5.0) (+ x 5.0)) z) (- x 5.0))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

36.0ms	(+ (* y x) (/ (* (* (- x 5.0) (+ x 5.0)) z) (- x 5.0)))
80.0ms	(* (* (- x 5.0) (+ x 5.0)) z)
64.0ms	(/ (* (* (- x 5.0) (+ x 5.0)) z) (- x 5.0))

series171.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* y x) (/ (* (* (- x 5.0) (+ x 5.0)) z) (- x 5.0)))
80.0ms	(* (* (- x 5.0) (+ x 5.0)) z)
53.0ms	(/ (* (* (- x 5.0) (+ x 5.0)) z) (- x 5.0))

simplify2.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5002
2	3826
1	502
0	152

prune481.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes198.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

541.0ms	9840×	body	80	valid
62.0ms	129×	body	640	valid
21.0ms	99×	body	1280	valid
7.0ms	58×	body	320	valid
2.0ms	29×	body	160	valid