Details

sample59.0ms

Algorithm

intervals

Results

19.0ms	269×	body	80	valid
12.0ms	252×	body	80	nan

simplify160.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

45.0ms	(+ (- 1.0 x) (* y (sqrt x)))
20.0ms	(* y (sqrt x))

series121.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (- 1.0 x) (* y (sqrt x)))
70.0ms	(* y (sqrt x))

simplify2.6s

Counts: 43 → 43

prune161.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

5.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
28.0ms	(* y (sqrt (sqrt x)))
79.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(sqrt (sqrt x))
258.0ms	(sqrt (sqrt x))
114.0ms	(* y (sqrt (sqrt x)))
72.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify731.0ms

Counts: 100 → 100

prune360.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b	(sqrt (sqrt x))
0.2b	(* y (pow x 1/4))
0.3b	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`add-log-exp`
8×	`pow1`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `associate-+l+` `pow1/2` `pow-exp` `sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+`

Counts

4 → 84

Calls

4 calls:

50.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms	(sqrt (sqrt x))
17.0ms	(* y (pow x 1/4))
44.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
203.0ms	(sqrt (sqrt x))
86.0ms	(* y (pow x 1/4))
125.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify1.0s

Counts: 96 → 96

prune343.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
0.3b	(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
0.5b	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

175×	`sqrt-prod`
85×	`add-sqr-sqrt`
76×	`sqrt-pow1`
51×	`pow1`
26×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
24×	`swap-sqr`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
17×	`unswap-sqr`
16×	`associate-l` `pow-prod-down`
13×	`pow-prod-up`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 170

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
94.0ms	(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
341.0ms	(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
50.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(sqrt (sqrt x))
89.0ms	(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
67.0ms	(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
207.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify1.7s

Counts: 182 → 182

prune546.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify136.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

776.0ms	8431×	body	80	nan
459.0ms	8532×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid