Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	280×	body	80	valid
5.0ms	275×	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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

13.0ms	(+ (- 1.0 x) (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series83.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (- 1.0 x) (* y (sqrt x)))
41.0ms	(* y (sqrt x))

simplify141.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	240	231
1	957	202
2	4716	192
3	5001	192

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite28.0ms

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:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
16.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(sqrt (sqrt x))
142.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	516
1	1481	454
2	5002	443

prune234.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

61×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 103

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
9.0ms	(* y (sqrt (sqrt (sqrt x))))
24.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
87.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(sqrt (sqrt x))
96.0ms	(* y (sqrt (sqrt (sqrt x))))
87.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
48.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	468	872
1	2312	702
2	5001	630

prune243.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
0.5b	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

178×	`sqrt-prod`
90×	`add-sqr-sqrt`
76×	`sqrt-pow1`
51×	`pow1`
26×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
24×	`swap-sqr`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`unswap-sqr`
16×	`associate-l` `pow-prod-down`
13×	`pow-prod-up`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 172

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
47.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
22.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series400.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (sqrt x))
82.0ms	(* y (sqrt (sqrt x)))
47.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
133.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify76.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	458	1020
1	2203	794
2	5001	781

prune284.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

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

sample637.0ms

Algorithm

intervals

Results

191.0ms	8520×	body	80	valid
172.0ms	8413×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid