Details

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 1.120665%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

9.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	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: 0.9b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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))
15.0ms	(* y (/ (- z t) (- z a)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

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

prune150.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Merged error: 0b

Counts

123 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.8b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ 1 (/ (- z a) (- z t)))
30.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
9.0ms	(/ (- z a) (- z t))
13.0ms	(/ 1 (/ (- z a) (- z t)))
21.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify103.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	954	2831
1	4775	2542
2	5002	2256

prune234.0ms

Filtered

183 candidates to 350 candidates (-91.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	355	5	360

Merged error: 0b

Counts

360 → 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))
1.8b	(/ y (/ (- z a) (- z t)))

rewrite60.0ms

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:

29.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (/ y (/ (- z a) (- z t))))
9.0ms	(/ (- z a) (- z t))
21.0ms	(/ y (/ (- z a) (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (53.0ms)

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

prune207.0ms

Filtered

143 candidates to 215 candidates (-50.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 134

Calls

4 calls:

5.0ms	(/ 1 (- z t))
6.0ms	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
13.0ms	(* (- z a) (/ 1 (- z t)))
11.0ms	(/ y (* (- z a) (/ 1 (- z t))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1 (- z t))
27.0ms	(+ x (/ y (* (- z a) (/ 1 (- z t)))))
9.0ms	(* (- z a) (/ 1 (- z t)))
24.0ms	(/ y (* (- z a) (/ 1 (- z t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	477	825
1	2103	711
2	5002	664

prune127.0ms

Filtered

86 candidates to 146 candidates (-69.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	146	5	151

Merged error: 0b

Counts

151 → 5

regimes565.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 1.120665%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

307.0ms	7997×	body	80	valid
23.0ms	649×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

sample2.1s

simplify53.0ms

prune4.0ms

localize13.0ms

rewrite30.0ms

series51.0ms

simplify47.0ms

prune150.0ms

localize11.0ms

rewrite77.0ms

series72.0ms

simplify103.0ms

prune234.0ms

localize8.0ms

rewrite60.0ms

series60.0ms

simplify74.0ms

prune207.0ms

localize9.0ms

rewrite40.0ms

series64.0ms

simplify54.0ms

prune127.0ms

regimes565.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

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