Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

459×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 12

Calls

1 calls:

12.0ms

(+ (* x x) (* y y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ (* x x) (* y y))

simplify1.5s

Counts

15 → 15

Iterations

Iter	Nodes
done	5007
3	1510
2	348
1	101
0	31

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
5.8b	(sqrt (+ (* x x) (* y y)))
5.8b	(sqrt (+ (* x x) (* y y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (* x x) (* y y))
10.0ms	(+ (* x x) (* y y))
8.0ms	(sqrt (+ (* x x) (* y y)))
11.0ms	(sqrt (+ (* x x) (* y y)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x x) (* y y))
30.0ms	(+ (* x x) (* y y))
40.0ms	(sqrt (+ (* x x) (* y y)))
39.0ms	(sqrt (+ (* x x) (* y y)))

simplify1.7s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1599
2	373
1	129
0	50

prune287.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
2.8b	(- (* (* y y) (* y y)) (* (* x x) (* y y)))
6.7b	(* (* x x) (* y y))
44.8b	(/ (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
14×	`pow-prod-down`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
4×	`pow-plus` `cube-unmult` `pow3` `sum-cubes` `pow-prod-up` `insert-posit16` `associate-/l*`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`pow2` `associate-+r+` `sum-log` `sub-neg` `diff-log` `associate-/r/` `pow-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3--` `distribute-rgt-out--` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

89.0ms	(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
35.0ms	(- (* (* y y) (* y y)) (* (* x x) (* y y)))
30.0ms	(* (* x x) (* y y))
853.0ms	(/ (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
53.0ms	(- (* (* y y) (* y y)) (* (* x x) (* y y)))
35.0ms	(* (* x x) (* y y))
107.0ms	(/ (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))

simplify1.5s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1904
1	511
0	159

prune454.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample870.0ms

Algorithm

intervals

Results

590.0ms

14081×

body

valid