Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	244×	body	80	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	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

localize8.0ms

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:

6.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

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

prune69.0ms

Filtered

20 candidates to 16 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

localize8.0ms

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:

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

series737.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
183.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

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

prune241.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	92	6	98

Merged error: 0b

Counts

98 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

15.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	375	1533
1	1267	1446
2	5001	1341

prune302.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(pow (cbrt (cbrt x)) 5)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`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 → 65

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(pow (cbrt (cbrt x)) 5)

series900.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
200.0ms	(cbrt x)
177.0ms	(cbrt x)
336.0ms	(pow (cbrt (cbrt x)) 5)

simplify50.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	145	281
1	393	263
2	1278	257
3	5002	249

prune232.0ms

Filtered

77 candidates to 63 candidates (81.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	77	6	83

Merged error: 0b

Counts

83 → 6

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample333.0ms

Algorithm

intervals

Results

175.0ms	7706×	body	80	valid
17.0ms	104×	body	1280	valid
7.0ms	77×	body	640	valid
6.0ms	50×	body	2560	valid
2.0ms	37×	body	320	valid
1.0ms	26×	body	160	valid