Details

sample68.0ms

Algorithm

intervals

Results

31.0ms	907×	body	80	nan
10.0ms	302×	body	80	valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	74	19
3	190	19
4	441	19
5	878	19
6	1597	19
7	2626	19
done	5000	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
78×	`prod-diff`
67×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-r/` `associate-r*`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow-prod-down` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

35.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
10.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
33.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series589.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
193.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
154.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
82.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.4s

Counts

179 → 179

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	453	7178
1	946	6698
2	3289	5557
done	5001	5541

prune423.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ -1 (sqrt 3.0))
1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ 1.0 (sqrt 3.0))
1.0b	(/ 1.0 (sqrt 3.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
64×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
24×	`associate-/r*`
14×	`add-exp-log`
12×	`add-cbrt-cube` `associate-/l*`
6×	`pow1`
5×	`div-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-flip`
1×	`rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `inv-pow`

Counts

4 → 170

Calls

4 calls:

3.0ms	(/ -1 (sqrt 3.0))
3.0ms	(/ 1 (sqrt 3.0))
3.0ms	(/ 1.0 (sqrt 3.0))
3.0ms	(/ 1.0 (sqrt 3.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ -1 (sqrt 3.0))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ 1.0 (sqrt 3.0))
0.0ms	(/ 1.0 (sqrt 3.0))

simplify2.8s

Counts

174 → 174

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	178	1701
1	299	1413
2	596	1367
3	1428	1347
4	4360	1311
done	5001	1311

prune598.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.1b	(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
0.4b	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

457×	`times-frac`
379×	`add-sqr-sqrt`
301×	`*-un-lft-identity`
251×	`add-cube-cbrt`
234×	`sqrt-prod`
78×	`prod-diff`
50×	`difference-of-squares`
41×	`distribute-rgt-in` `distribute-lft-in`
25×	`distribute-lft-out--`
22×	`associate-/l*`
17×	`div-inv`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
7×	`pow1`
6×	`associate-r`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-l` `flip--`
2×	`sub-neg` `associate-*r/` `associate-/r/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `associate-/l/` `unswap-sqr`

Counts

4 → 385

Calls

4 calls:

16.0ms	(sqrt (- a (/ 1.0 3.0)))
31.0ms	(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms	(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
26.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (- a (/ 1.0 3.0)))
190.0ms	(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
236.0ms	(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
191.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify2.4s

Counts

397 → 397

Iterations

Useful iterations: 2 (1.7s)

Iter	Nodes	Cost
0	707	13146
1	1532	12096
2	4754	10934
done	5000	10934

prune934.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- a (/ 1.0 3.0))))
0.1b	(sqrt (sqrt (- a (/ 1.0 3.0))))
0.3b	(/ (/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))
0.4b	(/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0)))))

rewrite824.0ms

Algorithm

rewrite-expression-head

Rules

10560×	`times-frac`
10253×	`sqrt-prod`
6872×	`add-sqr-sqrt`
5122×	`*-un-lft-identity`
3958×	`add-cube-cbrt`
1164×	`difference-of-squares`
582×	`distribute-lft-out--`
292×	`associate-/l*`
184×	`div-inv`
68×	`sqrt-div`
30×	`associate-/r/`
24×	`associate-/r*`
18×	`add-exp-log` `add-cbrt-cube`
17×	`flip3--` `flip--`
9×	`cbrt-undiv` `div-exp`
8×	`pow1` `sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 3912

Calls

4 calls:

11.0ms	(sqrt (sqrt (- a (/ 1.0 3.0))))
11.0ms	(sqrt (sqrt (- a (/ 1.0 3.0))))
155.0ms	(/ (/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))
25.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0)))))

series661.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sqrt (sqrt (- a (/ 1.0 3.0))))
106.0ms	(sqrt (sqrt (- a (/ 1.0 3.0))))
190.0ms	(/ (/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))
257.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0)))))

simplify1.2s

Counts

3924 → 3924

Iterations

Useful iterations: done (831.0ms)

Iter	Nodes	Cost
0	3040	173445
done	5000	173435

prune14.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	52
1	32	52
done	32	52

end0.0ms

sample1.8s

Algorithm

intervals

Results

889.0ms	27466×	body	80	nan
326.0ms	9173×	body	80	valid