Details

sample496.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.843994%

Guaranteed chance to sample good point: 90.672916%

Results

7.0ms	245×	body	80	valid
1.0ms	46×	body	80	invalid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

5.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (+ y z))
7.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify115.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune48.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* x y) (* z (+ x 5.0)))
6.0ms	(* z (+ x 5.0))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x y) (* z (+ x 5.0)))
5.0ms	(* z (+ x 5.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4791	168
3	5002	168

prune55.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Merged error: 0b

Counts

46 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 5.0))
0.0b	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
4.0b	(* z (- (* x x) (* 5.0 5.0)))
5.4b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`times-frac` `associate-/r*`
4×	`flip3--` `associate-r/` `associate-r*` `flip--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

3.0ms	(- (* x x) (* 5.0 5.0))
7.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms	(* z (- (* x x) (* 5.0 5.0)))
9.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (* x x) (* 5.0 5.0))
14.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
9.0ms	(* z (- (* x x) (* 5.0 5.0)))
13.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	406	650
1	1888	567
2	5001	533

prune105.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	90	6	96

Merged error: 0b

Counts

96 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 5.0))
0.0b	(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
0.3b	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
6.9b	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
124×	`add-sqr-sqrt` `*-un-lft-identity`
82×	`add-cube-cbrt`
48×	`difference-of-squares`
30×	`associate-/r*`
21×	`distribute-lft-out--`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
8×	`associate-/l*` `add-log-exp`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `div-sub` `sum-log` `flip-+`

Counts

4 → 192

Calls

4 calls:

4.0ms	(- (* x x) (* 5.0 5.0))
19.0ms	(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
11.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
8.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (* x x) (* 5.0 5.0))
18.0ms	(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
13.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
3.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

simplify121.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	797	2219
1	4207	2062
2	5003	2007

prune289.0ms

Filtered

158 candidates to 204 candidates (-29.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	204	6	210

Merged error: 0b

Counts

210 → 6

regimes211.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.843994%

Guaranteed chance to sample good point: 90.672916%

Results

222.0ms	7640×	body	80	valid
32.0ms	1186×	body	80	invalid
15.0ms	120×	body	1280	valid
13.0ms	129×	body	640	valid
5.0ms	69×	body	320	valid
2.0ms	42×	body	160	valid

Details

sample496.0ms

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series13.0ms

simplify115.0ms

prune48.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify130.0ms

prune55.0ms

localize13.0ms

rewrite26.0ms

series40.0ms

simplify57.0ms

prune105.0ms

localize13.0ms

rewrite50.0ms

series38.0ms

simplify121.0ms

prune289.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling