Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

338×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

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: 0.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 1.0 (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ 1.0 (* x x))

simplify95.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	101	92
1	322	77
2	957	77
3	4517	77
4	5002	77

prune41.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 72

Calls

1 calls:

7.0ms

(/ (/ 1.0 x) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ (/ 1.0 x) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	313	455
1	1182	421
2	5001	412

prune120.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.5b	(cbrt (/ 1.0 x))
0.5b	(cbrt (/ 1.0 x))
0.5b	(cbrt (/ 1.0 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

12.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))

series833.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
203.0ms	(cbrt (/ 1.0 x))
193.0ms	(cbrt (/ 1.0 x))
203.0ms	(cbrt (/ 1.0 x))

simplify139.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	226	1109
1	817	1069
2	4669	1027
3	5001	1024

prune373.0ms

Filtered

164 candidates to 130 candidates (79.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	164	7	171

Merged error: 0.0b

Counts

171 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt (/ 1.0 x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
29×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`times-frac` `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` `cbrt-div` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 92

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt (/ 1.0 x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series755.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt x) (cbrt x))
193.0ms	(cbrt (/ 1.0 x))
182.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify135.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	197	407
1	707	378
2	4726	354
3	5001	354

prune274.0ms

Filtered

104 candidates to 81 candidates (77.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	104	7	111

Merged error: 0b

Counts

111 → 7

regimes245.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

sample270.0ms

Algorithm

intervals

Results

152.0ms

10658×

body

valid