Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	273×	body	80	valid
6.0ms	282×	body	80	nan

simplify20.0ms

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

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))

rewrite18.0ms

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)))
4.0ms	(* y (sqrt x))

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (- 1.0 x) (* y (sqrt x)))
45.0ms	(* y (sqrt x))

simplify139.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

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

prune85.0ms

Filtered

43 candidates to 30 candidates (69.8%)

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))
0.3b	(* 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)))
17.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt x))
129.0ms	(sqrt (sqrt x))
78.0ms	(* y (sqrt (sqrt x)))
43.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

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

prune203.0ms

Filtered

100 candidates to 59 candidates (59.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(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)))

rewrite48.0ms

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:

4.0ms	(pow (/ 1 x) -1/4)
1.0ms	(sqrt (sqrt x))
15.0ms	(* y (pow (/ 1 x) -1/4))
25.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(pow (/ 1 x) -1/4)
126.0ms	(sqrt (sqrt x))
64.0ms	(* y (pow (/ 1 x) -1/4))
81.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (56.0ms)

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

prune285.0ms

Filtered

131 candidates to 78 candidates (59.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 x)) (cbrt (/ 1 x)))
0.6b	(cbrt (/ 1 x))
0.6b	(cbrt (/ 1 x))
0.6b	(cbrt (/ 1 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

17.0ms	(* (cbrt (/ 1 x)) (cbrt (/ 1 x)))
2.0ms	(cbrt (/ 1 x))
2.0ms	(cbrt (/ 1 x))
2.0ms	(cbrt (/ 1 x))

series769.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (/ 1 x)) (cbrt (/ 1 x)))
199.0ms	(cbrt (/ 1 x))
196.0ms	(cbrt (/ 1 x))
174.0ms	(cbrt (/ 1 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	219	1142
1	897	1034
2	5002	874

prune450.0ms

Filtered

165 candidates to 96 candidates (58.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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

sample604.0ms

Algorithm

intervals

Results

180.0ms	8549×	body	80	valid
168.0ms	8549×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid