Details

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

14.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify50.0ms

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: 10.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.2b	(/ (* y (- z t)) (- z a))

rewrite24.0ms

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))

series51.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (/ (* y (- z t)) (- z a)))
7.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- z a))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

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

prune94.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.7b	(* y (/ (- z t) (- z a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune105.0ms

Filtered

81 candidates to 122 candidates (-50.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.8b	(/ 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:

26.0ms	(+ x (/ y (/ (- z a) (- z t))))
7.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ y (/ (- z a) (- z t))))
9.0ms	(/ (- z a) (- z t))
25.0ms	(/ y (/ (- z a) (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (55.0ms)

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

prune162.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	216	5	221

Merged error: 0b

Counts

221 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (/ (- z a) (- z t)) y))
1.8b	(/ (/ (- z a) (- z t)) y)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

71.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
8.0ms	(/ (- z a) (- z t))
25.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
15.0ms	(/ (/ (- z a) (- z t)) y)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
9.0ms	(/ (- z a) (- z t))
37.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
18.0ms	(/ (/ (- z a) (- z t)) y)

simplify107.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1829	7504
1	5002	6286

prune301.0ms

Filtered

289 candidates to 636 candidates (-120.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	635	1	636
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	636	5	641

Merged error: 0b

Counts

641 → 5

regimes485.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

317.0ms	7996×	body	80	valid
31.0ms	708×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample3.2s

simplify50.0ms

prune4.0ms

localize8.0ms

rewrite24.0ms

series51.0ms

simplify42.0ms

prune94.0ms

localize11.0ms

rewrite29.0ms

series53.0ms

simplify46.0ms

prune105.0ms

localize10.0ms

rewrite57.0ms

series61.0ms

simplify75.0ms

prune162.0ms

localize9.0ms

rewrite170.0ms

series88.0ms

simplify107.0ms

prune301.0ms

regimes485.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.8s

Profiling