Details

sample694.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.523926%

Guaranteed chance to sample good point: 84.528416%

Results

13.0ms	256×	body	80	valid
1.0ms	23×	body	80	nan
1.0ms	17×	body	80	invalid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune4.0ms

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 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	387	432
1	1513	383
2	5001	370

prune97.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
0.0b	(+ (log z) 1.0)
0.0b	(+ (* y (+ (log z) 1.0)) (* 0.5 x))
0.2b	(* y (+ (log z) 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

8.0ms	(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
4.0ms	(+ (log z) 1.0)
6.0ms	(+ (* y (+ (log z) 1.0)) (* 0.5 x))
6.0ms	(* y (+ (log z) 1.0))

series49.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
11.0ms	(+ (log z) 1.0)
17.0ms	(+ (* y (+ (log z) 1.0)) (* 0.5 x))
8.0ms	(* y (+ (log z) 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	399	507
1	1695	463
2	5003	451

prune103.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (* (- 1.0 z) y))
0.0b	(* (- 1.0 z) y)
0.1b	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
0.3b	(* y (log z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+l+` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

4.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
6.0ms	(* (- 1.0 z) y)
7.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
4.0ms	(* y (log z))

series33.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
4.0ms	(* (- 1.0 z) y)
14.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
7.0ms	(* y (log z))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	412	519
1	1904	466
2	5001	449

prune107.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* y (* 2 (log (cbrt z))))
10.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series87.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (* 2 (log (cbrt z))))
24.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify149.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	429	924
1	1207	818
2	4524	754
3	5001	705

prune139.0ms

Filtered

88 candidates to 124 candidates (-40.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

regimes336.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.523926%

Guaranteed chance to sample good point: 84.528416%

Results

400.0ms	8000×	body	80	valid
34.0ms	635×	body	80	invalid
27.0ms	600×	body	80	nan

Details

sample694.0ms

simplify55.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series40.0ms

simplify46.0ms

prune97.0ms

localize11.0ms

rewrite27.0ms

series49.0ms

simplify52.0ms

prune103.0ms

localize11.0ms

rewrite30.0ms

series33.0ms

simplify53.0ms

prune107.0ms

localize19.0ms

rewrite23.0ms

series87.0ms

simplify149.0ms

prune139.0ms

regimes336.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling