Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

302×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

prune3.0ms

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: 12.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.9b	(/ (* x (- y z)) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
6.0ms	(/ (* x (- y z)) y)

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune63.0ms

Filtered

35 candidates to 55 candidates (-57.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0b

Counts

56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.1b	(/ x (/ y (- y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ y (- y z))
9.0ms	(/ x (/ y (- y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune113.0ms

Filtered

108 candidates to 145 candidates (-34.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	146	5	151

Merged error: 0b

Counts

151 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.4b	(* x (/ (- y z) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

5.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- y z) y)
11.0ms	(* x (/ (- y z) y))

simplify36.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune60.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

8.4b	(* (/ x y) (- y z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 42

Calls

1 calls:

9.0ms

(* (/ x y) (- y z))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (/ x y) (- y z))

simplify87.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	241	221
1	985	200
2	4257	192
3	5003	192

prune32.0ms

Filtered

29 candidates to 45 candidates (-55.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	45	5	50

Merged error: 0b

Counts

50 → 5

regimes330.0ms

Accuracy

88.8% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	27
1	30	27
2	33	27
3	33	27

end0.0ms

sample594.0ms

Algorithm

intervals

Results

254.0ms

9585×

body

valid

Details

sample22.0ms

simplify66.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series16.0ms

simplify32.0ms

prune63.0ms

localize5.0ms

rewrite20.0ms

series15.0ms

simplify57.0ms

prune113.0ms

localize5.0ms

rewrite17.0ms

series16.0ms

simplify36.0ms

prune60.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify87.0ms

prune32.0ms

regimes330.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample594.0ms

Profiling