Details

analyze307.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune55.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
0.0b	(* (sqrt (- 1.0 x)) z)
0.0b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
3.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
7.0ms	(* (sqrt (- 1.0 x)) z)
11.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series29.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
8.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
13.0ms	(* (sqrt (- 1.0 x)) z)
5.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	471	686
1	1710	607
2	5001	591

prune140.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
0.2b	(* (* x y) (* x y))
2.1b	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
25.6b	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

12.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
6.0ms	(* (* x y) (* x y))
6.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
11.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
6.0ms	(* (* x y) (* x y))
24.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
43.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	559	1312
1	2878	1117
2	5001	1095

prune132.0ms

Filtered

73 candidates to 137 candidates (-87.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	137	5	142

Merged error: 0b

Counts

142 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
0.1b	(* (- (sqrt 1.0) (sqrt x)) z)
0.1b	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-l*`
10×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
8×	`sqrt-prod`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`frac-times` `flip3--` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares`
2×	`associate-r/` `-commutative` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

5.0ms	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
8.0ms	(* (- (sqrt 1.0) (sqrt x)) z)
16.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

series54.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
10.0ms	(* (- (sqrt 1.0) (sqrt x)) z)
28.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	488	732
1	2379	584
2	5001	566

prune108.0ms

Filtered

56 candidates to 74 candidates (-32.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	74	5	79

Merged error: 0b

Counts

79 → 5

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

analyze291.0ms

Algorithm: search

sample413.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
23.0ms	656×	body	80	invalid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Details

analyze307.0ms

sample16.0ms

simplify26.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify96.0ms

prune55.0ms

localize10.0ms

rewrite27.0ms

series29.0ms

simplify48.0ms

prune140.0ms

localize11.0ms

rewrite39.0ms

series80.0ms

simplify88.0ms

prune132.0ms

localize10.0ms

rewrite31.0ms

series54.0ms

simplify64.0ms

prune108.0ms

regimes193.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze291.0ms

sample413.0ms

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4