Details

sample41.0ms

Algorithm

intervals

Results

10.0ms	274×	body	80	valid
10.0ms	302×	body	80	nan

simplify18.0ms

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))

rewrite14.0ms

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)))
7.0ms	(* y (sqrt x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (- 1.0 x) (* y (sqrt x)))
37.0ms	(* y (sqrt x))

simplify140.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (28.0ms)

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

prune69.0ms

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: 0.0b

Counts

44 → 5

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)))

rewrite20.0ms

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)))
8.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (sqrt x))
122.0ms	(sqrt (sqrt x))
91.0ms	(* y (sqrt (sqrt x)))
40.0ms	(* (* 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

prune157.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series687.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt x) (cbrt x))
167.0ms	(cbrt x)
164.0ms	(cbrt x)
168.0ms	(cbrt x)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune258.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series631.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (sqrt x))
160.0ms	(cbrt (sqrt x))
165.0ms	(cbrt x)
162.0ms	(cbrt x)

simplify45.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	106	242
1	279	224
2	1184	210
3	5002	208

prune230.0ms

Filtered

62 candidates to 52 candidates (83.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

regimes85.0ms

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

sample639.0ms

Algorithm

intervals

Results

199.0ms	8529×	body	80	valid
170.0ms	8642×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid