Details

analyze301.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	31×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

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))

rewrite11.0ms

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:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5197	345

prune47.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

4.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
7.0ms	(* z (sqrt (- 1.0 x)))
13.0ms	(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

series21.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4967	824
1	4967	824

prune101.0ms

Filtered

54 candidates to 77 candidates (-42.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))
0.2b	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
36.0b	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))
4.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

series48.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))
27.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
8.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5079	1146

prune94.0ms

Filtered

54 candidates to 93 candidates (-72.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes174.0ms

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	21	9
1	21	9

end0.0ms

sample426.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
19.0ms	675×	body	80	invalid

Details

analyze301.0ms

sample17.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify41.0ms

prune47.0ms

localize8.0ms

rewrite26.0ms

series21.0ms

simplify47.0ms

prune101.0ms

localize10.0ms

rewrite21.0ms

series48.0ms

simplify42.0ms

prune94.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample426.0ms

Profiling