Details

sample38.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	249×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ y x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

12.0ms

(sqrt (+ y x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(sqrt (+ y x))

simplify2.0s

Counts

22 → 22

Iterations

Iter	Nodes
done	5001
3	1763
2	393
1	125
0	55

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(sqrt (sqrt (+ x y)))
0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
58×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `sqrt-pow1`
34×	`sqrt-div`
32×	`pow1`
21×	`pow1/2` `add-cube-cbrt`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `hypot-def`

Counts

4 → 157

Calls

4 calls:

8.0ms	(sqrt (+ x y))
15.0ms	(sqrt (sqrt (+ x y)))
13.0ms	(sqrt (sqrt (+ x y)))
45.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series590.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ x y))
245.0ms	(sqrt (sqrt (+ x y)))
240.0ms	(sqrt (sqrt (+ x y)))
53.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.6s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	1703
1	380
0	168

prune489.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (cbrt (pow (sqrt (sqrt (+ x y))) 3)))
0.6b	(cbrt (pow (sqrt (sqrt (+ x y))) 3))
0.7b	(pow (sqrt (sqrt (+ x y))) 3)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

134×	`sqrt-prod`
84×	`add-sqr-sqrt`
76×	`cbrt-prod`
47×	`*-un-lft-identity`
39×	`unpow-prod-down` `cube-prod`
36×	`sqrt-div`
31×	`add-cube-cbrt`
29×	`associate-r`
27×	`unswap-sqr`
11×	`pow1`
10×	`cube-div` `associate-l`
9×	`flip3-+` `flip-+`
8×	`cbrt-div` `sqrt-pow1` `distribute-lft-out`
7×	`add-exp-log`
6×	`add-cbrt-cube` `sqr-pow`
5×	`pow-pow`
4×	`expm1-log1p-u` `frac-times` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow-to-exp` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 196

Calls

4 calls:

7.0ms	(sqrt (sqrt (+ x y)))
67.0ms	(* (sqrt (sqrt (+ x y))) (cbrt (pow (sqrt (sqrt (+ x y))) 3)))
9.0ms	(cbrt (pow (sqrt (sqrt (+ x y))) 3))
10.0ms	(pow (sqrt (sqrt (+ x y))) 3)

series744.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(sqrt (sqrt (+ x y)))
43.0ms	(* (sqrt (sqrt (+ x y))) (cbrt (pow (sqrt (sqrt (+ x y))) 3)))
249.0ms	(cbrt (pow (sqrt (sqrt (+ x y))) 3))
232.0ms	(pow (sqrt (sqrt (+ x y))) 3)

simplify2.6s

Counts

208 → 208

Iterations

Iter	Nodes
done	5000
2	3721
1	660
0	241

prune598.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x y) (+ x y))
27.8b	(pow (* (+ x y) (+ x y)) (/ 1/2 2))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`pow1`
15×	`add-sqr-sqrt`
13×	`pow-unpow` `add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log`
6×	`pow-pow` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `associate-r` `associate-l`
2×	`pow2` `expm1-log1p-u` `pow-plus` `pow-prod-down` `associate-l/` `pow-exp` `prod-exp` `associate-r/` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-down` `distribute-lft-in` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `sqr-pow`

Counts

2 → 75

Calls

2 calls:

34.0ms	(* (+ x y) (+ x y))
14.0ms	(pow (* (+ x y) (+ x y)) (/ 1/2 2))

series109.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ x y) (+ x y))
93.0ms	(pow (* (+ x y) (+ x y)) (/ 1/2 2))

simplify1.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2761
1	430
0	129

prune281.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes268.0ms

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	5
1	5
0	4

end0.0ms

sample726.0ms

Algorithm

intervals

Results

174.0ms	7894×	body	80	nan
165.0ms	8000×	body	80	valid