Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

10.0ms

(+ x (/ (- x y) 2.0))

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(+ x (/ (- x y) 2.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	92	89
1	241	81
2	697	81
3	3396	81
4	5001	80

prune36.0ms

Filtered

21 candidates to 17 candidates (19.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `prod-diff`
47×	`add-cube-cbrt`
37×	`times-frac`
18×	`frac-sub`
15×	`distribute-lft-out`
9×	`flip3-+` `flip-+`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`fma-neg` `div-inv`
2×	`frac-2neg` `diff-log` `associate--l+` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `sub-neg` `flip3--` `sum-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 95

Calls

1 calls:

19.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	610	1862
1	2271	1358
2	5001	1242

prune104.0ms

Filtered

98 candidates to 40 candidates (59.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize8.0ms

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)

rewrite14.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(cbrt x)

series769.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt x) (cbrt x))
185.0ms	(cbrt x)
187.0ms	(cbrt x)
185.0ms	(cbrt x)

simplify123.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune182.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
7.0ms	(cbrt (* (cbrt x) (cbrt x)))

series955.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt x)
194.0ms	(cbrt x)
269.0ms	(cbrt (cbrt x))
291.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify74.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	156	471
1	456	451
2	2202	412
3	5001	412

prune224.0ms

Filtered

91 candidates to 72 candidates (20.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

regimes94.0ms

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	7	3
1	7	3

end0.0ms

sample306.0ms

Algorithm

intervals

Results

141.0ms	7372×	body	80	valid
17.0ms	222×	body	1280	valid
11.0ms	172×	body	640	valid
8.0ms	89×	body	2560	valid
5.0ms	99×	body	320	valid
2.0ms	50×	body	160	valid