Details

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 3.268383%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

12.0ms	256×	body	80	valid
3.0ms	73×	body	80	invalid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

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: 7.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.2b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

3.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series32.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
14.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
13.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	330	520
1	1181	464
2	5002	457

prune89.0ms

Filtered

45 candidates to 60 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-+r+` `associate-r` `prod-exp`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `sum-log` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 62

Calls

2 calls:

16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series18.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	489	525
1	2096	469
2	5001	452

prune89.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
0.1b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

19.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
8.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series17.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
5.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	307	435
1	922	414
2	3297	406
3	5002	401

prune66.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	58	5	63

Merged error: 0b

Counts

63 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0))
0.1b	(* t (- (/ 2.0 z) 2.0))
0.3b	(* (/ 2.0 z) (/ 2.0 z))
16.0b	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
45×	`times-frac`
43×	`*-un-lft-identity`
36×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
13×	`pow1` `swap-sqr`
9×	`add-log-exp`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`associate-*r/` `div-inv` `unswap-sqr`
4×	`flip3--` `flip--` `associate-/l*` `difference-of-squares`
3×	`sub-neg`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `frac-add` `sum-log` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `pow2` `frac-times` `associate-+r-` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `div-sub` `associate-l/` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `flip-+`

Counts

4 → 141

Calls

4 calls:

21.0ms	(+ (/ x y) (- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0))
9.0ms	(* t (- (/ 2.0 z) 2.0))
9.0ms	(* (/ 2.0 z) (/ 2.0 z))
14.0ms	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (/ x y) (- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0))
7.0ms	(* t (- (/ 2.0 z) 2.0))
3.0ms	(* (/ 2.0 z) (/ 2.0 z))
9.0ms	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

simplify100.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	769	1290
1	3728	1107
2	5001	1080

prune202.0ms

Filtered

102 candidates to 153 candidates (-50.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	153	5	158

Merged error: 0b

Counts

158 → 5

regimes397.0ms

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	13	6
1	13	6

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 3.268383%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

403.0ms	8000×	body	80	valid
107.0ms	2084×	body	80	invalid

Details

sample3.7s

simplify54.0ms

prune4.0ms

localize11.0ms

rewrite21.0ms

series32.0ms

simplify38.0ms

prune89.0ms

localize10.0ms

rewrite29.0ms

series18.0ms

simplify52.0ms

prune89.0ms

localize8.0ms

rewrite29.0ms

series17.0ms

simplify71.0ms

prune66.0ms

localize15.0ms

rewrite58.0ms

series52.0ms

simplify100.0ms

prune202.0ms

regimes397.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling