Details

analyze486.0ms

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

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	101×	body	80	invalid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	5611	9

prune8.0ms

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))

rewrite19.0ms

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)
12.0ms	(/ (- (+ 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))

simplify38.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	6008	496

prune63.0ms

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `times-frac`
9×	`add-log-exp`
8×	`distribute-lft-out--`
7×	`add-cube-cbrt`
5×	`distribute-lft-out`
4×	`frac-add` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip--` `div-inv` `sub-div`
1×	`+-commutative` `associate-+r-` `associate-+r+` `distribute-rgt-out--` `flip3-+` `flip-+`

Counts

2 → 45

Calls

2 calls:

23.0ms	(+ (/ y t) (- (/ x t) (/ z t)))
12.0ms	(- (/ x t) (/ z t))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4980	665
1	4980	665

prune63.0ms

Filtered

41 candidates to 51 candidates (-24.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y z))
0.0b	(/ 2.0 (+ x (- y z)))
0.3b	(* t (/ 2.0 (+ x (- y z))))
0.4b	(/ 1 (* t (/ 2.0 (+ x (- y z)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
34×	`times-frac`
32×	`add-exp-log`
31×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
16×	`distribute-lft-out`
11×	`div-exp`
9×	`pow1` `add-log-exp`
8×	`prod-exp` `distribute-lft-out--`
6×	`cbrt-undiv` `associate-/r` `associate-/l`
5×	`associate-/r/`
4×	`cbrt-unprod`
3×	`rec-exp` `flip3-+` `1-exp` `associate-l` `flip-+` `div-inv`
2×	`pow-flip` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `diff-log` `*-commutative` `inv-pow`

Counts

4 → 126

Calls

4 calls:

5.0ms	(+ x (- y z))
8.0ms	(/ 2.0 (+ x (- y z)))
11.0ms	(* t (/ 2.0 (+ x (- y z))))
10.0ms	(/ 1 (* t (/ 2.0 (+ x (- y z)))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ x (- y z))
11.0ms	(/ 2.0 (+ x (- y z)))
13.0ms	(* t (/ 2.0 (+ x (- y z))))
12.0ms	(/ 1 (* t (/ 2.0 (+ x (- y z)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5713	1283

prune122.0ms

Filtered

81 candidates to 138 candidates (-70.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	138	3	141

Merged error: 0b

Counts

141 → 3

regimes434.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	13
1	67	13

end0.0ms

sample620.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
89.0ms	2929×	body	80	invalid

Details

analyze486.0ms

sample24.0ms

simplify194.0ms

prune8.0ms

localize6.0ms

rewrite19.0ms

series15.0ms

simplify38.0ms

prune63.0ms

localize8.0ms

rewrite37.0ms

series14.0ms

simplify45.0ms

prune63.0ms

localize8.0ms

rewrite39.0ms

series40.0ms

simplify45.0ms

prune122.0ms

regimes434.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample620.0ms

Profiling