Details

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 15.820313%

Results

18.0ms	256×	body	80	valid
6.0ms	117×	body	80	invalid

simplify52.0ms

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

prune5.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms	(+ (* x y) (/ (* z t) 16.0))
4.0ms	(/ (* a b) 4.0)

series41.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms	(+ (* x y) (/ (* z t) 16.0))
3.0ms	(/ (* a b) 4.0)

simplify34.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	301	419
1	1260	392
2	5002	385

prune94.0ms

Filtered

45 candidates to 59 candidates (-31.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 0b

Counts

60 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`flip3-+` `diff-log` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--` `div-inv`

Counts

3 → 59

Calls

3 calls:

7.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))
5.0ms	(+ (* x y) (/ (* z t) 16.0))
6.0ms	(* a (/ b 4.0))

series39.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))
11.0ms	(+ (* x y) (/ (* z t) 16.0))
4.0ms	(* a (/ b 4.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	352	442
1	1499	415
2	5001	408

prune93.0ms

Filtered

52 candidates to 68 candidates (-30.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.5b	(/ a (/ 4.0 b))

rewrite33.0ms

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×	`flip3-+` `diff-log` `sum-log` `frac-sub` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

3 → 101

Calls

3 calls:

19.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
5.0ms	(+ (* x y) (/ (* z t) 16.0))
6.0ms	(/ a (/ 4.0 b))

series39.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
11.0ms	(+ (* x y) (/ (* z t) 16.0))
3.0ms	(/ a (/ 4.0 b))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	528	830
1	2059	798
2	5002	790

prune144.0ms

Filtered

89 candidates to 110 candidates (-23.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
1.4b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.4b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.4b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

14.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
40.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
37.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
37.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	322	1278
1	1068	1199
2	4280	1116
3	5002	1096

prune199.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

regimes1.2s

Accuracy

0% (0.0b 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	22	8
1	22	8

end0.0ms

sample5.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 15.820313%

Results

467.0ms	8000×	body	80	valid
219.0ms	3930×	body	80	invalid

Details

sample4.4s

simplify52.0ms

prune5.0ms

localize12.0ms

rewrite18.0ms

series41.0ms

simplify34.0ms

prune94.0ms

localize15.0ms

rewrite19.0ms

series39.0ms

simplify40.0ms

prune93.0ms

localize12.0ms

rewrite33.0ms

series39.0ms

simplify52.0ms

prune144.0ms

localize17.0ms

rewrite30.0ms

series164.0ms

simplify95.0ms

prune199.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.7s

Profiling