Details

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.845215%

Guaranteed chance to sample good point: 49.054208%

Results

10.0ms	256×	body	80	valid
1.0ms	31×	body	80	invalid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	6
1	46	6
2	73	6
3	99	6
4	119	6
5	145	6
6	178	6
7	253	6
8	333	6
9	467	6
10	467	6

prune4.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(/ (* y z) 2.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
12.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
4.0ms	(/ (* y z) 2.0)

series24.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
11.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
4.0ms	(/ (* y z) 2.0)

simplify32.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	282	355
1	1056	330
2	5001	330

prune76.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0b

Counts

60 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
0.3b	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b	(/ z (sqrt 2.0))
0.4b	(/ y (sqrt 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
62×	`*-un-lft-identity`
60×	`add-cube-cbrt`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`add-log-exp` `unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `div-inv`
2×	`associate-+l+` `frac-2neg` `clear-num` `sum-log`
1×	`+-commutative` `frac-times` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 167

Calls

4 calls:

8.0ms	(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
16.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
4.0ms	(/ z (sqrt 2.0))
6.0ms	(/ y (sqrt 2.0))

series49.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
13.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
6.0ms	(/ z (sqrt 2.0))
5.0ms	(/ y (sqrt 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	533	1256
1	2336	1149
2	5003	1082

prune266.0ms

Filtered

113 candidates to 179 candidates (-58.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	180	2	182

Merged error: 0b

Counts

182 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.125 x) (- t (/ z (/ 2.0 y))))
0.0b	(- t (/ z (/ 2.0 y)))
0.2b	(/ z (/ 2.0 y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

16.0ms	(+ (* 0.125 x) (- t (/ z (/ 2.0 y))))
14.0ms	(- t (/ z (/ 2.0 y)))
9.0ms	(/ z (/ 2.0 y))

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* 0.125 x) (- t (/ z (/ 2.0 y))))
8.0ms	(- t (/ z (/ 2.0 y)))
4.0ms	(/ z (/ 2.0 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	483	684
1	1794	658
2	5001	657

prune130.0ms

Filtered

87 candidates to 110 candidates (-26.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes412.0ms

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	16	6
1	16	6

end0.0ms

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.845215%

Guaranteed chance to sample good point: 49.054208%

Results

342.0ms	7999×	body	80	valid
32.0ms	813×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

sample2.7s

simplify27.0ms

prune4.0ms

localize9.0ms

rewrite23.0ms

series24.0ms

simplify32.0ms

prune76.0ms

localize11.0ms

rewrite40.0ms

series49.0ms

simplify60.0ms

prune266.0ms

localize8.0ms

rewrite42.0ms

series24.0ms

simplify51.0ms

prune130.0ms

regimes412.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling