Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

341×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

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: 3.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (* y y)) 3.0)
9.4b	(/ x (* y y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
16×	`times-frac`
7×	`add-exp-log` `fma-neg` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

2 → 68

Calls

2 calls:

8.0ms	(- (/ x (* y y)) 3.0)
5.0ms	(/ x (* y y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (/ x (* y y)) 3.0)
23.0ms	(/ x (* y y))

simplify109.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	241	508
1	741	343
2	3593	316
3	5002	280

prune99.0ms

Filtered

74 candidates to 41 candidates (55.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (/ x y) y) 3.0)
0.2b	(/ (/ x y) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

342×	`times-frac`
236×	`add-sqr-sqrt`
229×	`*-un-lft-identity`
227×	`add-cube-cbrt`
129×	`prod-diff`
43×	`fma-neg`
21×	`div-inv`
13×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*` `difference-of-squares`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

2 → 262

Calls

2 calls:

26.0ms	(- (/ (/ x y) y) 3.0)
6.0ms	(/ (/ x y) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (/ (/ x y) y) 3.0)
23.0ms	(/ (/ x y) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	709	3025
1	2358	2003
2	5001	1851

prune282.0ms

Filtered

268 candidates to 123 candidates (45.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	268	6	274

Merged error: 0.0b

Counts

274 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 1 y) (/ x y) (- 3.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ 1 y) (/ x y) (- 3.0))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma (/ 1 y) (/ x y) (- 3.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	36	72
1	80	62
2	365	62
3	2784	61
4	5002	61

prune28.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	13	6	19

Merged error: 0.0b

Counts

19 → 6

localize9.0ms

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`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

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

series755.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt x) (cbrt x))
191.0ms	(cbrt x)
181.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune179.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0b

Counts

99 → 7

regimes80.0ms

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	6	3

end0.0ms

sample370.0ms

Algorithm

intervals

Results

209.0ms

10591×

body

valid