Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	265×	body	80	valid
8.0ms	290×	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

localize6.0ms

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))

series81.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (- 1.0 x) (* y (sqrt x)))
45.0ms	(* y (sqrt x))

simplify140.0ms

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	5002	192

prune73.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 0b

Counts

44 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.4b	(* (* 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)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt x))
143.0ms	(sqrt (sqrt x))
82.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

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

prune161.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0b

Counts

105 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.8b	(pow (sqrt (sqrt x)) 3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

6.0ms	(* y (sqrt (sqrt x)))
13.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
4.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
5.0ms	(pow (sqrt (sqrt x)) 3)

series465.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* y (sqrt (sqrt x)))
48.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
143.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
191.0ms	(pow (sqrt (sqrt x)) 3)

simplify77.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	523	885
1	2477	740
2	5002	699

prune230.0ms

Filtered

153 candidates to 71 candidates (46.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	153	5	158

Merged error: 0b

Counts

158 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt x)) y)
0.3b	(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`cbrt-prod`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 64

Calls

4 calls:

3.0ms	(* (fabs (cbrt x)) y)
7.0ms	(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series525.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (fabs (cbrt x)) y)
133.0ms	(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
180.0ms	(cbrt x)
187.0ms	(cbrt x)

simplify90.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	210	392
1	952	345
2	3737	339
3	5001	334

prune143.0ms

Filtered

76 candidates to 53 candidates (69.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	76	5	81

Merged error: 0b

Counts

81 → 5

regimes66.0ms

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

sample784.0ms

Algorithm

intervals

Results

264.0ms	8527×	body	80	valid
244.0ms	8485×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample28.0ms

simplify19.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series81.0ms

simplify140.0ms

prune73.0ms

localize12.0ms

rewrite22.0ms

series406.0ms

simplify44.0ms

prune161.0ms

localize15.0ms

rewrite33.0ms

series465.0ms

simplify77.0ms

prune230.0ms

localize10.0ms

rewrite14.0ms

series525.0ms

simplify90.0ms

prune143.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample784.0ms

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