Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	275×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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))

series78.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (- 1.0 x) (* y (sqrt x)))
43.0ms	(* y (sqrt x))

simplify135.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (27.0ms)

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

prune74.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize8.0ms

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)))

rewrite22.0ms

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)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt x))
135.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

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

prune169.0ms

Filtered

100 candidates to 59 candidates (59.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	100	6	106

Merged error: 0b

Counts

106 → 6

localize13.0ms

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

rewrite25.0ms

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:

7.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
8.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series361.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
135.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
83.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify72.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (15.0ms)

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

prune181.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0b

Counts

102 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (cbrt (pow (sqrt (sqrt x)) 3)))
0.3b	(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

69×	`sqrt-prod`
56×	`cbrt-prod`
47×	`add-sqr-sqrt`
36×	`associate-r`
30×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `cube-prod`
14×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
5×	`pow-pow`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`pow1/2` `*-commutative`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 147

Calls

4 calls:

11.0ms	(* y (cbrt (pow (sqrt (sqrt x)) 3)))
12.0ms	(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
5.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
7.0ms	(pow (sqrt (sqrt x)) 3)

series455.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* y (cbrt (pow (sqrt (sqrt x)) 3)))
47.0ms	(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
135.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
189.0ms	(pow (sqrt (sqrt x)) 3)

simplify76.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	513	934
1	2435	767
2	5002	736

prune219.0ms

Filtered

159 candidates to 76 candidates (47.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	159	6	165

Merged error: 0b

Counts

165 → 6

regimes77.0ms

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

sample593.0ms

Algorithm

intervals

Results

181.0ms	8497×	body	80	valid
157.0ms	8410×	body	80	nan