Details

analyze447.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	105×	body	80	invalid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	1766	9
1	1766	9

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x y) z)
0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(- (+ x y) z)
8.0ms	(/ (- (+ x y) z) (* t 2.0))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (+ x y) z)
11.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify26.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5076	496

prune52.0ms

Filtered

36 candidates to 52 candidates (-44.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (- y z))
0.3b	(* (/ 1 t) (/ (+ x (- y z)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
31×	`times-frac`
24×	`add-exp-log`
19×	`associate-r`
18×	`add-cube-cbrt`
14×	`add-cbrt-cube`
13×	`associate-l`
8×	`div-exp` `prod-exp` `distribute-lft-out`
7×	`add-log-exp`
6×	`unswap-sqr`
4×	`pow1` `cbrt-undiv` `cbrt-unprod` `distribute-lft-out--`
2×	`rec-exp` `1-exp` `sum-log` `div-inv`
1×	`+-commutative` `frac-times` `associate-+r-` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+`

Counts

2 → 78

Calls

2 calls:

5.0ms	(+ x (- y z))
15.0ms	(* (/ 1 t) (/ (+ x (- y z)) 2.0))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ x (- y z))
13.0ms	(* (/ 1 t) (/ (+ x (- y z)) 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5359	859

prune73.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (+ x y)) (sqrt z))
0.0b	(- (sqrt (+ x y)) (sqrt z))
0.1b	(/ (+ (sqrt (+ x y)) (sqrt z)) t)
0.1b	(* (/ (+ (sqrt (+ x y)) (sqrt z)) t) (/ (- (sqrt (+ x y)) (sqrt z)) 2.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
70×	`times-frac`
64×	`sqrt-prod`
39×	`add-cube-cbrt`
36×	`distribute-lft-out`
34×	`associate-r`
22×	`associate-l`
18×	`add-exp-log` `add-cbrt-cube`
16×	`difference-of-squares`
12×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`pow1` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r*` `div-inv`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-times` `sub-neg` `flip3--` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `*-commutative` `flip--`

Counts

4 → 153

Calls

4 calls:

7.0ms	(+ (sqrt (+ x y)) (sqrt z))
7.0ms	(- (sqrt (+ x y)) (sqrt z))
10.0ms	(/ (+ (sqrt (+ x y)) (sqrt z)) t)
31.0ms	(* (/ (+ (sqrt (+ x y)) (sqrt z)) t) (/ (- (sqrt (+ x y)) (sqrt z)) 2.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (sqrt (+ x y)) (sqrt z))
19.0ms	(- (sqrt (+ x y)) (sqrt z))
18.0ms	(/ (+ (sqrt (+ x y)) (sqrt z)) t)
106.0ms	(* (/ (+ (sqrt (+ x y)) (sqrt z)) t) (/ (- (sqrt (+ x y)) (sqrt z)) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5108	2334

prune114.0ms

Filtered

102 candidates to 165 candidates (-61.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	165	3	168

Merged error: 0b

Counts

168 → 3

regimes397.0ms

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	21	9
1	21	9

end0.0ms

sample543.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
82.0ms	2736×	body	80	invalid

Details

analyze447.0ms

sample23.0ms

simplify101.0ms

prune9.0ms

localize6.0ms

rewrite15.0ms

series15.0ms

simplify26.0ms

prune52.0ms

localize8.0ms

rewrite23.0ms

series18.0ms

simplify37.0ms

prune73.0ms

localize11.0ms

rewrite62.0ms

series159.0ms

simplify46.0ms

prune114.0ms

regimes397.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample543.0ms

Profiling