Details

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

9.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

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: 8.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
8.2b	(/ (* y (- z t)) (- z a))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series48.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (* y (- z t)) (- z a)))
7.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- z a))

simplify44.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune90.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.2b	(/ y (/ (- z a) (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

27.0ms	(+ x (/ y (/ (- z a) (- z t))))
7.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
21.0ms	(/ y (/ (- z a) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune153.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	216	4	220

Merged error: 0.0b

Counts

220 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- z a)) (- z t)))
0.0b	(/ y (- z a))
10.3b	(* (/ y (- z a)) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

3.0ms	(+ x (* (/ y (- z a)) (- z t)))
5.0ms	(/ y (- z a))
11.0ms	(* (/ y (- z a)) (- z t))

series54.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* (/ y (- z a)) (- z t)))
7.0ms	(/ y (- z a))
21.0ms	(* (/ y (- z a)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	416	613
1	1659	573
2	5001	573

prune88.0ms

Filtered

79 candidates to 111 candidates (-40.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (/ y (- z a)) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
0.0b	(/ y (- z a))
10.4b	(/ (/ y (- z a)) (/ 1 (- z t)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
702×	`*-un-lft-identity`
700×	`add-sqr-sqrt`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

4 → 597

Calls

4 calls:

93.0ms	(+ x (/ (/ y (- z a)) (/ 1 (- z t))))
5.0ms	(/ 1 (- z t))
5.0ms	(/ y (- z a))
22.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (/ y (- z a)) (/ 1 (- z t))))
4.0ms	(/ 1 (- z t))
7.0ms	(/ y (- z a))
30.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

simplify121.0ms

Algorithm

egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	2312	7685
1	5003	7131

prune433.0ms

Filtered

310 candidates to 609 candidates (-96.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	609	0	609
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	609	4	613

Merged error: 0.0b

Counts

613 → 4

regimes440.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

326.0ms	7996×	body	80	valid
24.0ms	667×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

Details

sample3.1s

simplify58.0ms

prune4.0ms

localize9.0ms

rewrite27.0ms

series48.0ms

simplify44.0ms

prune90.0ms

localize8.0ms

rewrite57.0ms

series54.0ms

simplify79.0ms

prune153.0ms

localize8.0ms

rewrite23.0ms

series54.0ms

simplify44.0ms

prune88.0ms

localize9.0ms

rewrite174.0ms

series66.0ms

simplify121.0ms

prune433.0ms

regimes440.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling