Details

sample33.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	89×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
done	8	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.0b	(sqrt (+ x 1.0))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `sum-log` `hypot-def` `div-inv`

Counts

3 → 71

Calls

3 calls:

30.0ms	(+ 1.0 (sqrt (+ x 1.0)))
15.0ms	(sqrt (+ x 1.0))
71.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series379.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ 1.0 (sqrt (+ x 1.0)))
55.0ms	(sqrt (+ x 1.0))
248.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	146	959
1	343	886
2	1581	822
done	5001	816

prune426.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
0.2b	(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
4.1b	(- (* 1.0 1.0) (+ x 1.0))
4.1b	(- 1.0 (sqrt (+ x 1.0)))

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-sqr-sqrt`
210×	`times-frac`
158×	`*-un-lft-identity`
106×	`add-cube-cbrt`
76×	`difference-of-squares`
36×	`associate-/r*`
34×	`sqrt-prod`
25×	`prod-diff`
22×	`distribute-lft-out--`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`flip3--` `flip--`
7×	`associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u` `distribute-lft-out`
3×	`diff-log`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `sum-log` `associate--r+`

Counts

4 → 256

Calls

4 calls:

174.0ms	(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
137.0ms	(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
51.0ms	(- (* 1.0 1.0) (+ x 1.0))
42.0ms	(- 1.0 (sqrt (+ x 1.0)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
124.0ms	(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
22.0ms	(- (* 1.0 1.0) (+ x 1.0))
92.0ms	(- 1.0 (sqrt (+ x 1.0)))

simplify987.0ms

Counts

268 → 268

Iterations

Useful iterations: done (968.0ms)

Iter	Nodes	Cost
0	394	7117
1	1092	6418
done	5000	6025

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
done	8	8

end0.0ms

sample954.0ms

Algorithm

intervals

Results

516.0ms	7999×	body	80	valid
99.0ms	2696×	body	80	nan
0.0ms	1×	body	1280	valid