Details

analyze232.0ms

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

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	28×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

prune9.0ms

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:

5.0b	(/ (* x y) z)

rewrite4.0ms

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)

simplify78.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune43.0ms

Filtered

15 candidates to 24 candidates (-60.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
3.7b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite19.0ms

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)
13.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
22.0ms	(cbrt z)
22.0ms	(cbrt z)
12.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4951	801
1	4951	801

prune106.0ms

Filtered

73 candidates to 104 candidates (-42.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

4.7b	(* y (/ x z))

rewrite9.0ms

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:

8.0ms

(* y (/ x z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* y (/ x z))

simplify59.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5155	230

prune43.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0b

Counts

42 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

5.1b	(* (* x y) (/ 1 z))

rewrite9.0ms

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:

8.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5018	256

prune26.0ms

Filtered

19 candidates to 41 candidates (-115.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	41	7	48

Merged error: 0b

Counts

48 → 7

regimes357.0ms

Accuracy

90.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	42
1	38	42

end0.0ms

sample384.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
17.0ms	802×	body	80	invalid

Details

analyze232.0ms

sample15.0ms

simplify3.0ms

prune9.0ms

localize4.0ms

rewrite4.0ms

series5.0ms

simplify78.0ms

prune43.0ms

localize8.0ms

rewrite19.0ms

series79.0ms

simplify68.0ms

prune106.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify59.0ms

prune43.0ms

localize5.0ms

rewrite9.0ms

series6.0ms

simplify55.0ms

prune26.0ms

regimes357.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample384.0ms

Profiling