Details

sample25.0ms

Algorithm

intervals

Results

6.0ms	271×	body	80	valid
5.0ms	280×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	23	4
2	40	4
3	59	4
4	74	4
5	103	4
6	120	4
7	145	4
8	226	4
9	257	4
10	257	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

9.0ms

(* y (sqrt x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* y (sqrt x))

simplify91.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	148	113
1	616	100
2	3038	94
3	5001	94

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite53.0ms

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))
15.0ms	(* y (sqrt (sqrt x)))
32.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt (sqrt x))
134.0ms	(sqrt (sqrt x))
73.0ms	(* y (sqrt (sqrt x)))
37.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	336	516
1	1481	454
2	5001	427

prune193.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (pow x 1/4))
0.4b	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
18×	`add-exp-log` `add-sqr-sqrt`
16×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `add-cbrt-cube`
7×	`pow1`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`pow-prod-down`

Counts

3 → 69

Calls

3 calls:

2.0ms	(sqrt (sqrt x))
11.0ms	(* y (pow x 1/4))
29.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(sqrt (sqrt x))
55.0ms	(* y (pow x 1/4))
76.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	400	428
1	1896	380
2	5002	368

prune181.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

57×	`sqrt-prod`
35×	`add-exp-log`
31×	`associate-r`
26×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
10×	`cbrt-unprod`
9×	`sqrt-pow1`
5×	`associate-l`
4×	`unpow-prod-down` `pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `unswap-sqr`
2×	`sqr-pow`

Counts

4 → 109

Calls

4 calls:

3.0ms	(sqrt (sqrt (sqrt x)))
11.0ms	(* y (pow x 1/4))
30.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x))))
88.0ms	(* (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series519.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(sqrt (sqrt (sqrt x)))
60.0ms	(* y (pow x 1/4))
98.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x))))
78.0ms	(* (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify70.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	546	905
1	2720	752
2	5001	752

prune273.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample670.0ms

Algorithm

intervals

Results

168.0ms	8505×	body	80	valid
159.0ms	8519×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid