Details

sample859.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946211%

Results

10.0ms

283×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	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: 1.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.8b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

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

series59.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
20.0ms	(* y (/ (- z t) (- a t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune148.0ms

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: 0.0b

Counts

123 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
2.8b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite74.0ms

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 (/ (- a t) (- z t)))))
8.0ms	(/ (- a t) (- z t))
14.0ms	(/ 1 (/ (- a t) (- z t)))
28.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
10.0ms	(/ (- a t) (- z t))
23.0ms	(/ 1 (/ (- a t) (- z t)))
28.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify108.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	950	2836
1	4759	2547
2	5001	2261

prune240.0ms

Filtered

184 candidates to 350 candidates (-90.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	347	3	350
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	354	6	360

Merged error: 0b

Counts

360 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.8b	(/ y (/ (- a t) (- 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 (/ (- a t) (- z t))))
7.0ms	(/ (- a t) (- z t))
11.0ms	(/ y (/ (- a t) (- z t)))

series74.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (/ y (/ (- a t) (- z t))))
10.0ms	(/ (- a t) (- z t))
27.0ms	(/ y (/ (- a t) (- z t)))

simplify109.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5001	1832

prune239.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	216	5	221

Merged error: 0b

Counts

221 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (/ y (- a t)) (/ 1 (- z t))))
0.0b	(/ y (- a t))
0.0b	(/ 1 (- z t))
9.7b	(/ (/ y (- a t)) (/ 1 (- z t)))

rewrite168.0ms

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:

90.0ms	(+ x (/ (/ y (- a t)) (/ 1 (- z t))))
5.0ms	(/ y (- a t))
5.0ms	(/ 1 (- z t))
19.0ms	(/ (/ y (- a t)) (/ 1 (- z t)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ (/ y (- a t)) (/ 1 (- z t))))
7.0ms	(/ y (- a t))
4.0ms	(/ 1 (- z t))
27.0ms	(/ (/ y (- a t)) (/ 1 (- z t)))

simplify114.0ms

Algorithm

egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2305	7688
1	5002	7134

prune439.0ms

Filtered

312 candidates to 609 candidates (-95.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	609	0	609
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	609	5	614

Merged error: 0b

Counts

614 → 5

regimes593.0ms

Accuracy

7.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.6b

bsearch53.0ms

Steps

Iters	Range		Point
9	6.456296333899897e-193	7.765659385604728e-187	1.810154529976912e-188
10	-1.4196756762048753e-157	-2.9593443972665104e-172	-2.5240492959418074e-160

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946211%

Results

318.0ms	8730×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Details

sample859.0ms

simplify43.0ms

prune4.0ms

localize8.0ms

rewrite28.0ms

series59.0ms

simplify48.0ms

prune148.0ms

localize9.0ms

rewrite74.0ms

series96.0ms

simplify108.0ms

prune240.0ms

localize8.0ms

rewrite57.0ms

series74.0ms

simplify109.0ms

prune239.0ms

localize9.0ms

rewrite168.0ms

series78.0ms

simplify114.0ms

prune439.0ms

regimes593.0ms

bsearch53.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5