Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	239×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	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 1 expressions with local error:

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

rewrite6.0ms

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` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	88	110
1	226	97
2	540	97
3	1522	97
4	5001	97

prune47.0ms

Filtered

20 candidates to 16 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	15	5	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	6	21

Merged error: 0.0b

Counts

21 → 6

localize9.0ms

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)

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:

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

series691.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
166.0ms	(cbrt x)
163.0ms	(cbrt x)

simplify87.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

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

prune237.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))

series973.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
280.0ms	(cbrt (* (cbrt x) (cbrt x)))
262.0ms	(cbrt (* (cbrt x) (cbrt x)))
257.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify81.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	82	262
1	172	232
2	563	218
3	2341	218
4	5002	217

prune208.0ms

Filtered

58 candidates to 56 candidates (96.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
7.0ms	(pow (cbrt (cbrt x)) 4)

series964.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
234.0ms	(cbrt (cbrt x))
268.0ms	(cbrt (* (cbrt x) (cbrt x)))
285.0ms	(pow (cbrt (cbrt x)) 4)

simplify78.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	199	343
1	606	312
2	2110	292
3	5001	285

prune252.0ms

Filtered

78 candidates to 62 candidates (79.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

regimes84.0ms

Accuracy

0% (0.0b 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	8	4
1	8	4

end0.0ms

sample291.0ms

Algorithm

intervals

Results

146.0ms	7667×	body	80	valid
11.0ms	127×	body	1280	valid
6.0ms	87×	body	640	valid
4.0ms	43×	body	2560	valid
2.0ms	49×	body	320	valid
1.0ms	27×	body	160	valid