Details

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 20.141602%

Results

15.0ms	256×	body	80	valid
7.0ms	122×	body	80	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune6.0ms

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: 0.3b

Counts

2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.2b	(/ (* a b) 4.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

11.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms	(/ (* a b) 4.0)

series73.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
24.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
3.0ms	(/ (* a b) 4.0)

simplify39.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	365	544
1	1448	513
2	5001	506

prune103.0ms

Filtered

48 candidates to 67 candidates (-39.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
0.2b	(/ a (/ 4.0 b))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 109

Calls

3 calls:

21.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
18.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
6.0ms	(/ a (/ 4.0 b))

series72.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
26.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
3.0ms	(/ a (/ 4.0 b))

simplify57.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	592	955
1	2247	919
2	5001	918

prune158.0ms

Filtered

92 candidates to 118 candidates (-28.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
0.2b	(* 0.25 (* a b))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 32

Calls

2 calls:

7.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
5.0ms	(* 0.25 (* a b))

series29.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
3.0ms	(* 0.25 (* a b))

simplify115.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	176	237
1	665	212
2	3607	210
3	5001	210

prune47.0ms

Filtered

23 candidates to 38 candidates (-65.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Merged error: 0.0b

Counts

41 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.2b	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
0.2b	(/ (* a b) 4.0)
0.2b	(/ (* a b) 4.0)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
38×	`sqrt-prod`
30×	`add-sqr-sqrt`
19×	`pow1`
16×	`add-exp-log` `add-cube-cbrt` `swap-sqr` `add-cbrt-cube` `distribute-lft-out`
12×	`sqrt-div`
9×	`distribute-lft-out--` `add-log-exp`
8×	`sqrt-pow1` `pow1/2` `associate-r` `associate-l`
7×	`flip3-+` `flip-+`
6×	`times-frac` `associate-/r*`
5×	`pow-prod-up`
4×	`cbrt-undiv` `frac-times` `div-exp` `unswap-sqr`
3×	`pow-prod-down` `prod-exp` `pow-sqr` `cbrt-unprod`
2×	`frac-2neg` `diff-log` `associate-r/` `associate-l/` `clear-num` `frac-sub` `div-inv` `associate-/l*`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `associate--l+` `sum-log` `rem-square-sqrt` `*-commutative` `flip--` `difference-of-squares`

Counts

4 → 129

Calls

4 calls:

9.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
28.0ms	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
4.0ms	(/ (* a b) 4.0)
4.0ms	(/ (* a b) 4.0)

series80.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
48.0ms	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
3.0ms	(/ (* a b) 4.0)
4.0ms	(/ (* a b) 4.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	428	1488
1	1828	1337
2	5001	1296

prune175.0ms

Filtered

77 candidates to 141 candidates (-83.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Merged error: 0.0b

Counts

144 → 3

regimes1.4s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample6.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 20.141602%

Results

502.0ms	8000×	body	80	valid
241.0ms	3960×	body	80	invalid

Details

sample4.4s

simplify59.0ms

prune6.0ms

localize18.0ms

rewrite25.0ms

series73.0ms

simplify39.0ms

prune103.0ms

localize13.0ms

rewrite48.0ms

series72.0ms

simplify57.0ms

prune158.0ms

localize11.0ms

rewrite13.0ms

series29.0ms

simplify115.0ms

prune47.0ms

localize16.0ms

rewrite50.0ms

series80.0ms

simplify65.0ms

prune175.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.1s

Profiling