Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

467×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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-+`

Counts

1 → 11

Calls

1 calls:

12.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify4.2s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
3	4731
2	639
1	115
0	30

prune70.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.3b	(sqrt (+ (* x x) (* y y)))
5.3b	(sqrt (+ (* x x) (* y y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

6.0ms	(+ (* x x) (* y y))
54.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
7.0ms	(sqrt (+ (* x x) (* y y)))
11.0ms	(sqrt (+ (* x x) (* y y)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x x) (* y y))
69.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
53.0ms	(sqrt (+ (* x x) (* y y)))
59.0ms	(sqrt (+ (* x x) (* y y)))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1282
1	241
0	92

prune503.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (* (* x x) (* x x)) (* (* y y) (* y y)))
5.3b	(sqrt (+ (* x x) (* y y)))
5.3b	(sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
31.7b	(/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
28×	`add-sqr-sqrt`
25×	`sqrt-prod`
24×	`*-un-lft-identity` `add-cube-cbrt`
19×	`difference-of-squares`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-/r` `flip3--` `associate-/r/` `flip--` `associate-/l`
3×	`rem-sqrt-square` `sqrt-div`
2×	`sqrt-pow1` `pow1/2` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+`

Counts

4 → 103

Calls

4 calls:

45.0ms	(- (* (* x x) (* x x)) (* (* y y) (* y y)))
7.0ms	(sqrt (+ (* x x) (* y y)))
71.0ms	(sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
148.0ms	(/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (* (* x x) (* x x)) (* (* y y) (* y y)))
55.0ms	(sqrt (+ (* x x) (* y y)))
149.0ms	(sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))
122.0ms	(/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))

simplify2.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	2950
1	423
0	174

prune788.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes165.0ms

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

sample1.6s

Algorithm

intervals

Results

964.0ms

14088×

body

valid