Details

sample752.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 84.628219%

Results

9.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (31.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(+ 0.75 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
8.0ms	(+ 0.75 (/ (- x z) y))
6.0ms	(/ (- x z) y)

series18.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
5.0ms	(+ 0.75 (/ (- x z) y))
6.0ms	(/ (- x z) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	325	399
1	1056	367
2	5001	367

prune79.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 0b

Counts

75 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
0.0b	(+ 0.75 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
12×	`add-log-exp`
10×	`times-frac`
5×	`add-cube-cbrt` `distribute-lft-out--`
4×	`associate-+r+` `difference-of-squares`
3×	`pow1` `add-exp-log` `sum-log` `add-cbrt-cube`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `div-inv` `distribute-lft-out`
1×	`distribute-rgt-in` `associate-+r-` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `frac-sub` `flip--` `sub-div`

Counts

3 → 53

Calls

3 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
15.0ms	(+ 0.75 (- (/ x y) (/ z y)))
12.0ms	(- (/ x y) (/ z y))

series20.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
5.0ms	(+ 0.75 (- (/ x y) (/ z y)))
6.0ms	(- (/ x y) (/ z y))

simplify29.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	285	399
1	943	373
2	5001	373

prune68.0ms

Filtered

47 candidates to 62 candidates (-31.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ x (* y 0.75))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

5.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
5.0ms	(- (+ x (* y 0.75)) z)
3.0ms	(+ x (* y 0.75))
8.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series25.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
5.0ms	(- (+ x (* y 0.75)) z)
4.0ms	(+ x (* y 0.75))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	352	474
1	1391	432
2	5002	426

prune79.0ms

Filtered

54 candidates to 74 candidates (-37.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0b

Counts

77 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ 1 (/ y (- x z))))))
0.0b	(+ 0.75 (/ 1 (/ y (- x z))))
0.0b	(/ y (- x z))
0.3b	(/ 1 (/ y (- x z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
107×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
26×	`associate-/r*`
17×	`add-exp-log`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1` `flip3--` `flip--`
4×	`cbrt-undiv`
2×	`+-commutative` `rec-exp` `associate-+r+` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `inv-pow`

Counts

4 → 171

Calls

4 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ 1 (/ y (- x z))))))
21.0ms	(+ 0.75 (/ 1 (/ y (- x z))))
5.0ms	(/ y (- x z))
9.0ms	(/ 1 (/ y (- x z)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ 1 (/ y (- x z))))))
5.0ms	(+ 0.75 (/ 1 (/ y (- x z))))
7.0ms	(/ y (- x z))
7.0ms	(/ 1 (/ y (- x z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	601	1284
1	2608	1043
2	5001	1028

prune122.0ms

Filtered

98 candidates to 183 candidates (-86.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	183	3	186

Merged error: 0b

Counts

186 → 3

regimes222.0ms

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	15	6
1	15	6

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 84.628219%

Results

296.0ms	8000×	body	80	valid
21.0ms	520×	body	80	invalid

Details

sample752.0ms

simplify82.0ms

prune9.0ms

localize7.0ms

rewrite18.0ms

series18.0ms

simplify32.0ms

prune79.0ms

localize8.0ms

rewrite32.0ms

series20.0ms

simplify29.0ms

prune68.0ms

localize9.0ms

rewrite22.0ms

series25.0ms

simplify38.0ms

prune79.0ms

localize9.0ms

rewrite44.0ms

series25.0ms

simplify54.0ms

prune122.0ms

regimes222.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling