Details

analyze226.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

prune10.0ms

Filtered

1 candidates to 1 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 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

4.1b	(/ (* x y) z)

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-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* x y) z)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* x y) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune33.0ms

Filtered

15 candidates to 24 candidates (-60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

4.1b	(* (* x y) (/ 1 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`associate-r` `add-cbrt-cube`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`associate-r/` `associate-l` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

9.0ms

(* (* x y) (/ 1 z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (* x y) (/ 1 z))

simplify54.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5018	256

prune35.0ms

Filtered

19 candidates to 41 candidates (-115.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
5.0b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
17.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt z)
22.0ms	(cbrt z)
22.0ms	(cbrt z)
10.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4951	801
1	4951	801

prune97.0ms

Filtered

72 candidates to 104 candidates (-44.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

5.7b	(* y (/ x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

7.0ms

(* y (/ x z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (/ x z))

simplify61.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5155	230

prune26.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	36	6	42

Merged error: 0b

Counts

42 → 6

regimes235.0ms

Accuracy

60.9% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	42
1	25	42

end0.0ms

sample356.0ms

Algorithm

intervals

Results

169.0ms	8000×	body	80	valid
14.0ms	708×	body	80	invalid

Details

analyze226.0ms

sample14.0ms

simplify3.0ms

prune10.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify79.0ms

prune33.0ms

localize5.0ms

rewrite11.0ms

series5.0ms

simplify54.0ms

prune35.0ms

localize8.0ms

rewrite23.0ms

series78.0ms

simplify69.0ms

prune97.0ms

localize4.0ms

rewrite8.0ms

series7.0ms

simplify61.0ms

prune26.0ms

regimes235.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample356.0ms

Profiling