Details

sample92.0ms

Algorithm

intervals

Results

21.0ms	58×	body	640	valid
20.0ms	270×	body	80	nan
18.0ms	38×	body	1280	valid
11.0ms	125×	body	80	valid
7.0ms	25×	body	320	valid
2.0ms	10×	body	160	valid

simplify54.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize23.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
0.3b	(/ 1 (sqrt x))
0.2b	(/ 1 (sqrt (+ x 1)))
0.0b	(sqrt (+ x 1))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

113×	`add-sqr-sqrt`
97×	`*-un-lft-identity` `times-frac`
64×	`sqrt-prod`
42×	`add-cube-cbrt`
25×	`difference-of-squares`
13×	`associate-/r*` `distribute-lft-out--`
12×	`add-exp-log`
9×	`pow1`
8×	`add-cbrt-cube` `distribute-lft-out`
6×	`div-inv` `pow-flip` `associate-/l*` `add-log-exp`
4×	`sqrt-div` `div-exp` `insert-posit16`
3×	`sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `associate-/r/` `flip-+` `inv-pow`
1×	`rem-sqrt-square` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

4 → 167

Calls

4 calls:

Slowest

22.0ms	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
13.0ms	(sqrt (+ x 1))
11.0ms	(/ 1 (sqrt (+ x 1)))
5.0ms	(/ 1 (sqrt x))

series215.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
47.0ms	(/ 1 (sqrt (+ x 1)))
44.0ms	(/ 1 (sqrt x))
35.0ms	(sqrt (+ x 1))

simplify839.0ms

Counts: 179 → 179

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 18.5b

localize47.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
0.3b	(/ 1 (sqrt x))
0.3b	(/ 1 (sqrt x))
0.3b	(* (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

306×	`sqrt-prod`
248×	`add-sqr-sqrt`
186×	`times-frac`
183×	`*-un-lft-identity`
72×	`difference-of-squares`
54×	`add-cube-cbrt`
53×	`associate-r`
28×	`distribute-lft-out--`
23×	`distribute-lft-out`
18×	`sqrt-div`
17×	`associate-l`
14×	`add-exp-log` `div-inv`
12×	`associate-/r*`
10×	`pow1` `add-cbrt-cube`
9×	`frac-times`
6×	`pow-flip` `associate-/l*` `add-log-exp`
5×	`flip3--` `frac-sub` `flip--`
4×	`flip3-+` `div-exp` `frac-add` `flip-+` `insert-posit16`
3×	`sub-neg` `associate-l/` `associate-r/`
2×	`distribute-rgt-in` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `1-exp` `inv-pow`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 258

Calls

4 calls:

Slowest

192.0ms	(* (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))))
45.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
14.0ms	(/ 1 (sqrt x))
9.0ms	(/ 1 (sqrt x))

series517.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

305.0ms	(* (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))))
130.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
45.0ms	(/ 1 (sqrt x))
38.0ms	(/ 1 (sqrt x))

simplify1.9s

Counts: 270 → 270

prune3.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.1b

localize61.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
0.6b	(cbrt (/ 1 (sqrt x)))
0.6b	(cbrt (/ 1 (sqrt x)))
0.6b	(cbrt (/ 1 (sqrt x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

149×	`sqrt-prod`
145×	`add-sqr-sqrt`
120×	`times-frac`
100×	`*-un-lft-identity`
66×	`cbrt-prod`
49×	`add-cube-cbrt`
36×	`difference-of-squares`
14×	`distribute-lft-out--`
7×	`div-inv`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-div` `pow1/3` `distribute-lft-out`
2×	`sqrt-div`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

4 → 160

Calls

4 calls:

Slowest

25.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
4.0ms	(cbrt (/ 1 (sqrt x)))
4.0ms	(cbrt (/ 1 (sqrt x)))
2.0ms	(cbrt (/ 1 (sqrt x)))

series744.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

203.0ms	(cbrt (/ 1 (sqrt x)))
199.0ms	(cbrt (/ 1 (sqrt x)))
192.0ms	(cbrt (/ 1 (sqrt x)))
150.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))

simplify1.0s

Counts: 172 → 172

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.1b

localize65.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
3.4b	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
3.4b	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
0.6b	(cbrt (/ 1 (sqrt x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

375×	`sqrt-prod`
323×	`add-sqr-sqrt`
216×	`times-frac`
188×	`*-un-lft-identity`
108×	`difference-of-squares`
42×	`distribute-lft-out--`
35×	`add-cube-cbrt`
22×	`cbrt-prod`
13×	`div-inv`
10×	`add-log-exp`
9×	`distribute-lft-out`
6×	`sqrt-div`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`
1×	`cbrt-div` `pow1/3`

Counts

4 → 224

Calls

4 calls:

Slowest

28.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
25.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
24.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
3.0ms	(cbrt (/ 1 (sqrt x)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

174.0ms	(cbrt (/ 1 (sqrt x)))
150.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
118.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
116.0ms	(- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))

simplify895.0ms

Counts: 236 → 236

prune3.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.1b

regimes89.0ms

Accuracy

99.6% (0.0b remaining)

Error of 10.1b against oracle of 10.1b and baseline of 20.3b

bsearch57.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

780.0ms	1160×	body	1280	valid
538.0ms	8156×	body	80	nan
482.0ms	1790×	body	640	valid
315.0ms	4032×	body	80	valid
139.0ms	660×	body	320	valid
45.0ms	358×	body	160	valid