Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

301×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `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 → 29

Calls

1 calls:

8.0ms

(/ (fabs (- x y)) (fabs y))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(/ (fabs (- x y)) (fabs y))

simplify3.4s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
5	3497
4	1693
3	595
2	235
1	93
0	54

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r*`
12×	`add-exp-log`
7×	`div-exp`
6×	`add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `associate-/l*`
2×	`pow1` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `clear-num` `frac-2neg` `associate-/r/` `log1p-expm1-u` `pow-flip` `inv-pow` `add-log-exp`

Counts

1 → 78

Calls

1 calls:

16.0ms

(/ 1 (/ (fabs y) (fabs (- x y))))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(/ 1 (/ (fabs y) (fabs (- x y))))

simplify2.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
3	2867
2	894
1	338
0	144

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.1b	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
0.1b	(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
0.2b	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

4624×	`times-frac`
3039×	`sqrt-prod`
2112×	`add-sqr-sqrt`
2111×	`*-un-lft-identity` `add-cube-cbrt`
85×	`div-inv`
52×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
5×	`pow1` `sqrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`

Counts

4 → 1844

Calls

4 calls:

1.0ms	(sqrt (fabs (- x y)))
11.0ms	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
78.0ms	(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
9.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (fabs (- x y)))
22.0ms	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
18.0ms	(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
29.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

simplify2.2s

Counts

1856 → 1856

Iterations

Iter	Nodes
done	5000
0	1410

prune8.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
0.1b	(/ (sqrt (/ (fabs (- x y)) (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

1676×	`times-frac`
1200×	`sqrt-prod`
803×	`add-sqr-sqrt`
800×	`*-un-lft-identity` `add-cube-cbrt`
62×	`div-inv`
49×	`associate-/r*`
25×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-undiv` `clear-num` `frac-2neg`
2×	`rem-sqrt-square` `sqrt-div`
1×	`sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`

Counts

4 → 834

Calls

4 calls:

7.0ms	(/ (fabs (- x y)) (fabs y))
6.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
12.0ms	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
47.0ms	(/ (sqrt (/ (fabs (- x y)) (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (fabs (- x y)) (fabs y))
19.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
22.0ms	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
17.0ms	(/ (sqrt (/ (fabs (- x y)) (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

simplify2.9s

Counts

846 → 846

Iterations

Iter	Nodes
done	5000
1	2215
0	893

prune2.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes144.0ms

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
0	6

end0.0ms

sample582.0ms

Algorithm

intervals

Results

366.0ms

9190×

body

valid