Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	273×	body	80	valid
8.0ms	242×	body	80	nan

simplify31.0ms

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

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))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `associate-l`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-+l+` `sum-log` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 41

Calls

2 calls:

12.0ms	(+ (- 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))

simplify142.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	240	247
1	957	218
2	4716	208
3	5001	208

prune87.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

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)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

74×	`sqrt-prod`
69×	`add-sqr-sqrt`
27×	`associate-r` `unswap-sqr`
26×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`*-commutative`

Counts

4 → 119

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
16.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt (sqrt x))
131.0ms	(sqrt (sqrt x))
78.0ms	(* y (sqrt (sqrt x)))
44.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	362	816
1	1521	664
2	5001	628

prune239.0ms

Filtered

131 candidates to 74 candidates (56.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	130	7	137

Merged error: 0b

Counts

137 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series740.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt x) (cbrt x))
191.0ms	(cbrt x)
175.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify94.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3258	241
3	5001	238

prune319.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	88	7	95

Merged error: 0b

Counts

95 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

460×	`sqrt-prod`
407×	`add-sqr-sqrt`
255×	`unswap-sqr`
118×	`associate-l`
69×	`associate-r`
35×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`*-commutative`
4×	`sqrt-pow1` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 269

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
8.0ms	(* y (sqrt (sqrt (sqrt x))))
41.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
21.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (sqrt x))
95.0ms	(* y (sqrt (sqrt (sqrt x))))
46.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
83.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	563	3901
1	2618	2295
2	5002	2216

prune419.0ms

Filtered

281 candidates to 111 candidates (39.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	281	7	288

Merged error: 0b

Counts

288 → 7

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample647.0ms

Algorithm

intervals

Results

192.0ms	8506×	body	80	valid
173.0ms	8646×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid