Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

443×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

8.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify1.7s

Counts

14 → 14

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	30	166
1	100	161
2	291	131
3	694	131
4	1837	131
done	5000	131

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))
6.1b	(sqrt (+ (* x x) (* y y)))
6.1b	(sqrt (+ (* x x) (* y y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

8.0ms	(+ (* x x) (* y y))
54.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
16.0ms	(sqrt (+ (* x x) (* y y)))
16.0ms	(sqrt (+ (* x x) (* y y)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x x) (* y y))
46.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
62.0ms	(sqrt (+ (* x x) (* y y)))
47.0ms	(sqrt (+ (* x x) (* y y)))

simplify1.9s

Counts

110 → 110

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	92	1982
1	191	1397
2	550	1177
3	1718	1138
done	5001	1110

prune248.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* y y) (- (* y y) (* x x)))
6.1b	(sqrt (+ (* x x) (* y y)))
6.1b	(sqrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))
43.4b	(/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`sqrt-prod`
14×	`unpow-prod-down` `distribute-lft-out`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`flip3-+` `associate-r` `associate-/r/` `flip-+` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-div` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-*r/` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

41.0ms	(* (* y y) (- (* y y) (* x x)))
8.0ms	(sqrt (+ (* x x) (* y y)))
97.0ms	(sqrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))
139.0ms	(/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* y y) (- (* y y) (* x x)))
49.0ms	(sqrt (+ (* x x) (* y y)))
139.0ms	(sqrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))
143.0ms	(/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))

simplify1.1s

Counts

125 → 125

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	193	3446
1	444	3207
2	1674	3020
done	5000	3012

prune528.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

471.0ms

14215×

body

valid