Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	276×	body	80	valid
8.0ms	263×	body	80	nan

simplify25.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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))

series80.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify143.0ms

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

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

6 alts after pruning (5 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))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite24.0ms

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)))
12.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (sqrt x))
133.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
42.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (36.0ms)

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

prune222.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

5.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
8.0ms	(* y (pow (/ 1 x) -1/4))
10.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(pow (/ 1 x) -1/4)
136.0ms	(sqrt (sqrt x))
66.0ms	(* y (pow (/ 1 x) -1/4))
85.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	573	745
1	2586	663
2	5001	661

prune290.0ms

Filtered

131 candidates to 78 candidates (59.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

6.0ms	(+ (- 1.0 x) (* (* y (pow (/ 1 x) -1/4)) (pow x 1/4)))
4.0ms	(pow (/ 1 x) -1/4)
8.0ms	(* y (pow (/ 1 x) -1/4))
9.0ms	(* (* y (pow (/ 1 x) -1/4)) (pow x 1/4))

series336.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (- 1.0 x) (* (* y (pow (/ 1 x) -1/4)) (pow x 1/4)))
181.0ms	(pow (/ 1 x) -1/4)
67.0ms	(* y (pow (/ 1 x) -1/4))
50.0ms	(* (* y (pow (/ 1 x) -1/4)) (pow x 1/4))

simplify79.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	583	837
1	2476	748
2	5001	722

prune248.0ms

Filtered

138 candidates to 75 candidates (54.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 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

sample618.0ms

Algorithm

intervals

Results

183.0ms	8599×	body	80	valid
158.0ms	8462×	body	80	nan