Details

analyze255.0ms

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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample23.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4938	6
10	5002	6

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series47.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	399	541
1	1444	477
2	5002	456

prune103.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (- x (* (+ y 0.5) (log y))) (- y z))
0.1b	(* (+ y 0.5) (log y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
13×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `log-prod`
5×	`pow1`
4×	`add-exp-log` `flip3--` `diff-log` `associate-r` `associate-l` `frac-add` `sum-log` `add-cbrt-cube` `flip--`
3×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`
2×	`sub-neg` `associate-+l+` `associate-+r+` `flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `associate-+l-` `associate-+r-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

7.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
6.0ms	(* (+ y 0.5) (log y))

series34.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
19.0ms	(* (+ y 0.5) (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	479	535
1	1886	491
2	5001	483

prune81.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

8.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
11.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
1.0ms	(cbrt y)

series208.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
103.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify68.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	692	1152
1	2432	1025
2	5003	966

prune231.0ms

Filtered

87 candidates to 120 candidates (-37.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

11.0ms	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
13.0ms	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series263.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
76.0ms	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
37.0ms	(cbrt y)
37.0ms	(cbrt y)

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	371	570
1	1416	499
2	5002	438

prune88.0ms

Filtered

54 candidates to 72 candidates (-33.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0b

Counts

79 → 7

regimes256.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

analyze236.0ms

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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample551.0ms

Algorithm

intervals

Results

370.0ms	7998×	body	80	valid
2.0ms	38×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze255.0ms

sample23.0ms

simplify146.0ms

prune3.0ms

localize9.0ms

rewrite19.0ms

series47.0ms

simplify50.0ms

prune103.0ms

localize9.0ms

rewrite15.0ms

series34.0ms

simplify48.0ms

prune81.0ms

localize14.0ms

rewrite27.0ms

series208.0ms

simplify68.0ms

prune231.0ms

localize27.0ms

rewrite30.0ms

series263.0ms

simplify44.0ms

prune88.0ms

regimes256.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze236.0ms

sample551.0ms

Profiling