Details

sample25.0ms

Algorithm

intervals

Results

5.0ms	266×	body	80	valid
5.0ms	293×	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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

26.0ms	(+ (- 1.0 x) (* y (sqrt x)))
12.0ms	(* y (sqrt x))

series80.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (- 1.0 x) (* y (sqrt x)))
41.0ms	(* y (sqrt x))

simplify142.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

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

prune83.0ms

Pruning

7 alts after pruning (6 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)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite51.0ms

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:

4.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
12.0ms	(* y (sqrt (sqrt x)))
31.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt (sqrt x))
129.0ms	(sqrt (sqrt x))
77.0ms	(* y (sqrt (sqrt x)))
39.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

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

prune209.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x 1/4))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`add-log-exp`
8×	`pow1`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `associate-+l+` `pow1/2` `pow-exp` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

32.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms	(sqrt (sqrt x))
12.0ms	(* y (sqrt (sqrt x)))
33.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series357.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
134.0ms	(sqrt (sqrt x))
74.0ms	(* y (sqrt (sqrt x)))
80.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify66.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	539	657
1	2405	593
2	5002	593

prune220.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))) (pow x 1/8))
0.3b	(* (* (* y (sqrt (sqrt x))) (pow x 1/8)) (pow x (/ 1/4 2)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
22×	`add-sqr-sqrt` `sqrt-prod`
20×	`add-cbrt-cube`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
8×	`pow1`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 109

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
13.0ms	(* y (sqrt (sqrt x)))
31.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/8))
104.0ms	(* (* (* y (sqrt (sqrt x))) (pow x 1/8)) (pow x (/ 1/4 2)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (sqrt x))
81.0ms	(* y (sqrt (sqrt x)))
102.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/8))
83.0ms	(* (* (* y (sqrt (sqrt x))) (pow x 1/8)) (pow x (/ 1/4 2)))

simplify76.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	633	869
1	3047	761
2	5003	753

prune263.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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

sample690.0ms

Algorithm

intervals

Results

174.0ms	8535×	body	80	valid
160.0ms	8520×	body	80	nan
0.0ms	1×	body	640	valid