Details

sample40.0ms

Algorithm

intervals

Results

15.0ms	269×	body	80	valid
8.0ms	315×	body	80	nan

simplify8.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

32.0ms	(+ (- 1.0 x) (* y (sqrt x)))
11.0ms	(* y (sqrt x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (- 1.0 x) (* y (sqrt x)))
49.0ms	(* y (sqrt x))

simplify62.0ms

Counts: 43 → 43

prune101.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite62.0ms

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:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
14.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(sqrt (sqrt x))
157.0ms	(sqrt (sqrt x))
83.0ms	(* y (sqrt (sqrt x)))
47.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify114.0ms

Counts: 100 → 100

prune323.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 117

Calls

4 calls:

7.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
24.0ms	(* y (sqrt (sqrt x)))
75.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series702.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(pow (/ 1 x) -1/4)
203.0ms	(sqrt (sqrt x))
121.0ms	(* y (sqrt (sqrt x)))
99.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify78.0ms

Counts: 129 → 129

prune456.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
0.5b	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

335×	`add-exp-log`
220×	`prod-exp`
144×	`pow-exp`
100×	`add-sqr-sqrt`
86×	`unpow-prod-down`
72×	`div-exp`
56×	`times-frac`
54×	`*-un-lft-identity`
42×	`add-cube-cbrt`
36×	`pow-to-exp` `rec-exp` `1-exp`
28×	`unswap-sqr`
27×	`associate-r`
22×	`sqrt-prod`
21×	`associate-l`
20×	`add-cbrt-cube`
19×	`swap-sqr`
14×	`sqr-pow`
13×	`pow1`
10×	`cbrt-unprod`
6×	`div-inv`
5×	`pow-prod-down`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow2` `pow-sqr` `pow-prod-up`

Counts

4 → 262

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
27.0ms	(* y (sqrt (sqrt x)))
80.0ms	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
98.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

series678.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(sqrt (sqrt x))
122.0ms	(* y (sqrt (sqrt x)))
102.0ms	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
250.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

simplify112.0ms

Counts: 274 → 274

prune684.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify14.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

450.0ms	8563×	body	80	valid
404.0ms	8469×	body	80	nan
0.0ms	1×	body	1280	valid