Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (+ y 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`associate-/r` `associate-/l`
3×	`add-cbrt-cube` `add-exp-log`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

19.0ms

(/ (+ x y) (+ y 1.0))

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (+ x y) (+ y 1.0))

simplify2.4s

Counts

45 → 45

Iterations

Iter	Nodes
done	5007
3	2586
2	670
1	203
0	80

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ y 1.0))
0.0b	(sqrt (+ y 1.0))
0.0b	(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
0.1b	(/ (+ x y) (sqrt (+ y 1.0)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

498×	`*-un-lft-identity`
490×	`times-frac`
296×	`sqrt-prod`
228×	`add-sqr-sqrt`
222×	`add-cube-cbrt`
138×	`distribute-lft-out`
38×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
13×	`flip3-+` `flip-+`
11×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `hypot-def`

Counts

4 → 393

Calls

4 calls:

11.0ms	(sqrt (+ y 1.0))
11.0ms	(sqrt (+ y 1.0))
58.0ms	(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
20.0ms	(/ (+ x y) (sqrt (+ y 1.0)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ y 1.0))
39.0ms	(sqrt (+ y 1.0))
57.0ms	(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
122.0ms	(/ (+ x y) (sqrt (+ y 1.0)))

simplify1.5s

Counts

405 → 405

Iterations

Iter	Nodes
done	5001
2	1894
1	795
0	338

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (+ y 1.0)) (sqrt (fma (- 1.0 y) 1.0 (* y y))))
4.4b	(sqrt (+ (pow y 3) (pow 1.0 3)))
5.1b	(/ (+ x y) (sqrt (+ (pow y 3) (pow 1.0 3))))
14.6b	(sqrt (fma (- 1.0 y) 1.0 (* y y)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

159×	`*-un-lft-identity`
109×	`sqrt-prod`
90×	`times-frac`
85×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
50×	`distribute-lft-out`
32×	`unpow-prod-down` `cube-prod`
18×	`associate-/r*`
16×	`hypot-def`
11×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log` `sqr-pow`
6×	`pow1` `sqrt-div` `sum-cubes`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `associate-/r/` `div-inv`
1×	`sqrt-undiv`

Counts

4 → 208

Calls

4 calls:

23.0ms	(/ (sqrt (+ y 1.0)) (sqrt (fma (- 1.0 y) 1.0 (* y y))))
44.0ms	(sqrt (+ (pow y 3) (pow 1.0 3)))
59.0ms	(/ (+ x y) (sqrt (+ (pow y 3) (pow 1.0 3))))
1.0ms	(sqrt (fma (- 1.0 y) 1.0 (* y y)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (sqrt (+ y 1.0)) (sqrt (fma (- 1.0 y) 1.0 (* y y))))
49.0ms	(sqrt (+ (pow y 3) (pow 1.0 3)))
122.0ms	(/ (+ x y) (sqrt (+ (pow y 3) (pow 1.0 3))))
73.0ms	(sqrt (fma (- 1.0 y) 1.0 (* y y)))

simplify1.3s

Counts

220 → 220

Iterations

Iter	Nodes
done	5001
2	1629
1	588
0	276

prune829.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

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	8
1	8
0	6

end0.0ms

sample434.0ms

Algorithm

intervals

Results

260.0ms

8000×

body

valid