Details

sample18.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
3.0ms	248×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

4.0ms

(sqrt (+ x y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(sqrt (+ x y))

simplify1.2s

Counts

22 → 22

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	55	184
1	124	160
2	326	155
3	946	145
4	2205	142
done	5001	141

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ x y)))
0.4b	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`cbrt-prod`
16×	`sqrt-prod`
12×	`add-cube-cbrt`
10×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `sqrt-div` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

4.0ms	(sqrt (cbrt (+ x y)))
13.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series585.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(sqrt (cbrt (+ x y)))
189.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
122.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: 3 (502.0ms)

Iter	Nodes	Cost
0	150	1131
1	333	1051
2	1100	974
3	4205	965
done	5000	965

prune241.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (fabs (cbrt (+ x y))) (sqrt (sqrt (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
19×	`*-un-lft-identity`
18×	`cbrt-div`
17×	`sqrt-prod`
16×	`cbrt-prod`
13×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`associate-*r/`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

37.0ms	(* (* (fabs (cbrt (+ x y))) (sqrt (sqrt (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series555.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (* (fabs (cbrt (+ x y))) (sqrt (sqrt (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))))
118.0ms	(cbrt (+ x y))
122.0ms	(cbrt (+ x y))
131.0ms	(cbrt (+ x y))

simplify2.7s

Counts

98 → 98

Iterations

Useful iterations: 3 (683.0ms)

Iter	Nodes	Cost
0	164	1595
1	397	1331
2	1250	1171
3	4444	1159
done	5000	1159

prune294.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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	4	4
1	5	4
done	5	4

end0.0ms

sample493.0ms

Algorithm

intervals

Results

124.0ms	8000×	body	80	valid
113.0ms	8207×	body	80	nan