Details

analyze5.0ms

Algorithm: search

sample35.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	42
1	231	42
2	900	42
3	3753	42
4	5001	42

prune7.0ms

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

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series18.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
8.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify46.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	340	603
1	1373	426
2	5002	425

prune154.0ms

Filtered

59 candidates to 117 candidates (-98.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	3	118

Merged error: 0.1b

Counts

118 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series17.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify44.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	345	600
1	1384	423
2	5001	411

prune200.0ms

Filtered

63 candidates to 117 candidates (-85.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	117	3	120

Merged error: 0.1b

Counts

120 → 3

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fabs x))
0.6b	(cbrt (fabs x))
0.6b	(cbrt (fabs x))
1.0b	(sqrt PI)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt (fabs x))
1.0ms	(cbrt (fabs x))
1.0ms	(cbrt (fabs x))
1.0ms	(sqrt PI)

series263.0ms

Counts

4 → 10

Calls

4 calls:

20.0ms	(cbrt (fabs x))
20.0ms	(cbrt (fabs x))
222.0ms	(cbrt (fabs x))
0.0ms	(sqrt PI)

simplify55.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	50	198
1	106	180
2	258	172
3	1167	170
4	5001	170

prune94.0ms

Filtered

42 candidates to 56 candidates (-33.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	56	3	59

Merged error: 0.1b

Counts

59 → 3

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)
14.0b	(cbrt (pow (pow (fabs x) 3) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1`
30×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
15×	`prod-exp` `cbrt-unprod`
14×	`associate-l`
9×	`times-frac` `pow-prod-down`
6×	`pow-plus` `pow-prod-up`
4×	`associate-r` `add-log-exp`
3×	`cbrt-undiv` `cube-mult` `unpow3` `div-exp` `sqrt-prod` `sqr-pow`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `div-inv` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)
5.0ms	(cbrt (pow (pow (fabs x) 3) 3))

series17.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)
5.0ms	(cbrt (pow (pow (fabs x) 3) 3))

simplify84.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	463	583
1	2228	501
2	5002	500

prune200.0ms

Filtered

61 candidates to 128 candidates (-109.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Merged error: 0.1b

Counts

131 → 3

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	44
1	49	44

end0.0ms

analyze5.0ms

Algorithm: search

sample974.0ms

Algorithm

intervals

Results

778.0ms	8000×	body	80	valid
84.0ms	8003×	pre	80	true
0.0ms	3×	body	80	invalid

Details

analyze5.0ms

sample35.0ms

simplify110.0ms

prune7.0ms

localize26.0ms

rewrite29.0ms

series18.0ms

simplify46.0ms

prune154.0ms

localize31.0ms

rewrite29.0ms

series17.0ms

simplify44.0ms

prune200.0ms

localize33.0ms

rewrite6.0ms

series263.0ms

simplify55.0ms

prune94.0ms

localize34.0ms

rewrite29.0ms

series17.0ms

simplify84.0ms

prune200.0ms

regimes77.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze5.0ms

sample974.0ms

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