Details

analyze357.0ms

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%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune10.0ms

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 2 expressions with local error:

0.0b	(+ 0.75 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

8.0ms	(+ 0.75 (/ (- x z) y))
5.0ms	(/ (- x z) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ 0.75 (/ (- x z) y))
6.0ms	(/ (- x z) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5654	519

prune63.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

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

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5263	614

prune107.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cbrt (- x z)) (sqrt y))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt` `*-un-lft-identity`
50×	`cbrt-prod`
48×	`times-frac`
39×	`add-cube-cbrt`
27×	`sqrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`cbrt-div` `associate-/l*`
6×	`add-exp-log` `associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 121

Calls

4 calls:

7.0ms	(/ (cbrt (- x z)) (sqrt y))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))

series125.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (cbrt (- x z)) (sqrt y))
28.0ms	(cbrt (- x z))
25.0ms	(cbrt (- x z))
26.0ms	(cbrt (- x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5154	1510

prune129.0ms

Filtered

89 candidates to 133 candidates (-49.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Merged error: 0b

Counts

136 → 3

regimes220.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample542.0ms

Algorithm

intervals

Results

306.0ms	8000×	body	80	valid
37.0ms	934×	body	80	invalid

Details

analyze357.0ms

sample22.0ms

simplify49.0ms

prune10.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify38.0ms

prune63.0ms

localize9.0ms

rewrite17.0ms

series18.0ms

simplify33.0ms

prune107.0ms

localize14.0ms

rewrite21.0ms

series125.0ms

simplify49.0ms

prune129.0ms

regimes220.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample542.0ms

Profiling