Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	276×	body	80	valid
10.0ms	263×	body	80	nan

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(+ (- 1.0 x) (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series76.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (- 1.0 x) (* y (sqrt x)))
42.0ms	(* y (sqrt x))

simplify137.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (28.0ms)

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

prune83.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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))
6.0ms	(* y (sqrt (sqrt x)))
9.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt (sqrt x))
133.0ms	(sqrt (sqrt x))
75.0ms	(* y (sqrt (sqrt x)))
42.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

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

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ 1 x) -1/4)
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 117

Calls

4 calls:

4.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
11.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series473.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (/ 1 x) -1/4)
135.0ms	(sqrt (sqrt x))
78.0ms	(* y (sqrt (sqrt x)))
84.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify76.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	621	768
1	2858	693
2	5001	691

prune301.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
0.0b	(pow (/ 1 x) -1/4)
0.3b	(* y (pow x 1/4))
0.3b	(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
45×	`prod-exp`
30×	`unpow-prod-down`
28×	`add-sqr-sqrt`
27×	`pow-exp`
24×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
12×	`pow-to-exp`
11×	`add-cbrt-cube`
10×	`div-exp`
9×	`add-log-exp`
6×	`pow1`
5×	`rec-exp` `1-exp`
4×	`associate-l` `cbrt-unprod` `sqr-pow`
3×	`pow-unpow` `pow-pow` `unswap-sqr`
2×	`associate-+l+` `sum-log` `*-commutative` `div-inv`
1×	`+-commutative` `associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

4 → 124

Calls

4 calls:

7.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
5.0ms	(pow (/ 1 x) -1/4)
5.0ms	(* y (pow x 1/4))
11.0ms	(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

series324.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
173.0ms	(pow (/ 1 x) -1/4)
63.0ms	(* y (pow x 1/4))
44.0ms	(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

simplify79.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	595	809
1	2645	726
2	5001	700

prune255.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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

sample638.0ms

Algorithm

intervals

Results

199.0ms	8599×	body	80	valid
178.0ms	8462×	body	80	nan