Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	240×	body	80	valid
1.0ms	5×	body	2560	valid
1.0ms	6×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	25
1	12
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 21

Calls

1 calls:

12.0ms

(- x (* (/ 3.0 8.0) y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.3s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
4	4576
3	1234
2	335
1	109
0	46

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.5b	(/ 3.0 (/ 8.0 y))
0.5b	(/ 3.0 (/ 8.0 y))
0.5b	(/ 3.0 (/ 8.0 y))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

426×	`times-frac`
289×	`add-sqr-sqrt`
282×	`*-un-lft-identity`
280×	`add-cube-cbrt`
132×	`prod-diff`
39×	`associate-/r*`
27×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `fma-neg` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 373

Calls

4 calls:

38.0ms	(- x (/ 3.0 (/ 8.0 y)))
13.0ms	(/ 3.0 (/ 8.0 y))
11.0ms	(/ 3.0 (/ 8.0 y))
9.0ms	(/ 3.0 (/ 8.0 y))

series85.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- x (/ 3.0 (/ 8.0 y)))
16.0ms	(/ 3.0 (/ 8.0 y))
16.0ms	(/ 3.0 (/ 8.0 y))
16.0ms	(/ 3.0 (/ 8.0 y))

simplify2.2s

Counts

385 → 385

Iterations

Iter	Nodes
done	5000
2	4795
1	1335
0	491

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (/ (cbrt 3.0) (cbrt 8.0)) (/ (cbrt 3.0) (cbrt 8.0))) (* y (/ (cbrt 3.0) (cbrt 8.0))))
0.4b	(* y (/ (cbrt 3.0) (cbrt 8.0)))
0.5b	(/ 3.0 (/ 8.0 y))
0.5b	(/ 3.0 (/ 8.0 y))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

190×	`times-frac`
128×	`add-sqr-sqrt`
114×	`*-un-lft-identity` `add-cube-cbrt`
88×	`add-exp-log`
52×	`add-cbrt-cube`
41×	`associate-r`
40×	`cbrt-prod`
39×	`prod-exp` `cbrt-unprod`
26×	`associate-/r*`
24×	`cbrt-undiv` `div-exp`
18×	`pow1`
11×	`div-inv`
9×	`pow-prod-down`
8×	`associate-*r/`
6×	`associate-/l*`
5×	`frac-times` `associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `*-commutative`

Counts

4 → 265

Calls

4 calls:

150.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) (/ (cbrt 3.0) (cbrt 8.0))) (* y (/ (cbrt 3.0) (cbrt 8.0))))
43.0ms	(* y (/ (cbrt 3.0) (cbrt 8.0)))
9.0ms	(/ 3.0 (/ 8.0 y))
14.0ms	(/ 3.0 (/ 8.0 y))

series462.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) (/ (cbrt 3.0) (cbrt 8.0))) (* y (/ (cbrt 3.0) (cbrt 8.0))))
144.0ms	(* y (/ (cbrt 3.0) (cbrt 8.0)))
21.0ms	(/ 3.0 (/ 8.0 y))
26.0ms	(/ 3.0 (/ 8.0 y))

simplify1.6s

Counts

277 → 277

Iterations

Iter	Nodes
done	5008
2	3164
1	900
0	337

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 3.0)) (cbrt 8.0)))
0.3b	(* (* (/ (cbrt 3.0) (cbrt 8.0)) (/ (cbrt 3.0) (cbrt 8.0))) (* (* y (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 3.0)) (cbrt 8.0))))
0.5b	(/ 3.0 (/ 8.0 y))
0.5b	(/ 3.0 (/ 8.0 y))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
156×	`add-exp-log`
125×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
104×	`add-cbrt-cube`
81×	`prod-exp` `cbrt-unprod`
59×	`associate-r`
45×	`cbrt-prod`
38×	`cbrt-undiv` `div-exp`
36×	`sqrt-prod`
30×	`pow1`
26×	`associate-/r*`
18×	`pow-prod-down`
11×	`div-inv`
8×	`associate-*r/`
6×	`associate-/l*`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 303

Calls

4 calls:

49.0ms	(* (* y (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 3.0)) (cbrt 8.0)))
193.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) (/ (cbrt 3.0) (cbrt 8.0))) (* (* y (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 3.0)) (cbrt 8.0))))
10.0ms	(/ 3.0 (/ 8.0 y))
18.0ms	(/ 3.0 (/ 8.0 y))

series480.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (* y (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 3.0)) (cbrt 8.0)))
287.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) (/ (cbrt 3.0) (cbrt 8.0))) (* (* y (sqrt (cbrt 3.0))) (/ (sqrt (cbrt 3.0)) (cbrt 8.0))))
16.0ms	(/ 3.0 (/ 8.0 y))
17.0ms	(/ 3.0 (/ 8.0 y))

simplify3.1s

Counts

315 → 315

Iterations

Iter	Nodes
done	5005
2	4751
1	1207
0	402

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample628.0ms

Algorithm

intervals

Results

336.0ms	7399×	body	80	valid
48.0ms	94×	body	2560	valid
45.0ms	242×	body	1280	valid
18.0ms	133×	body	640	valid
10.0ms	90×	body	320	valid
3.0ms	42×	body	160	valid