Details

analyze745.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	51×	body	80	invalid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4973	5
1	4973	5

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.1b	(* x (/ y 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:

6.0ms

(* x (/ y z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (/ y z))

simplify63.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5355	230

prune64.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	28	7	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	8	36

Merged error: 0.0b

Counts

36 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
4.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite21.0ms

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)
14.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
22.0ms	(cbrt z)
22.0ms	(cbrt z)
13.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4951	801
1	4951	801

prune104.0ms

Filtered

72 candidates to 104 candidates (-44.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	105	7	112

Merged error: 0b

Counts

112 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b	(/ (* 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)

simplify85.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune32.0ms

Filtered

14 candidates to 24 candidates (-71.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	24	7	31

Merged error: 0b

Counts

31 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

5.1b	(* 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))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* y (/ x z))

simplify61.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5155	230

prune28.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	35	7	42

Merged error: 0b

Counts

42 → 7

regimes457.0ms

Accuracy

41.8% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	41
1	27	41

end0.0ms

sample554.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
50.0ms	1576×	body	80	invalid

Details

analyze745.0ms

sample25.0ms

simplify103.0ms

prune8.0ms

localize4.0ms

rewrite8.0ms

series5.0ms

simplify63.0ms

prune64.0ms

localize8.0ms

rewrite21.0ms

series78.0ms

simplify70.0ms

prune104.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify85.0ms

prune32.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify61.0ms

prune28.0ms

regimes457.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample554.0ms

Profiling