Details

analyze250.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

sample19.0ms

Algorithm

intervals

Results

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

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4937	12
1	4937	12

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 12.2b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
6.7b	(/ (neg v) (* (+ t1 u) (+ t1 u)))
10.1b	(* t1 (/ (neg v) (* (+ t1 u) (+ t1 u))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
26×	`associate-r`
24×	`add-sqr-sqrt`
21×	`times-frac`
19×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `flip3-+` `flip-+`
16×	`associate-/r/`
12×	`pow1` `frac-times`
10×	`associate-/l*`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`associate-r/` `associate-l*`
6×	`swap-sqr` `associate-*l/` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `div-exp`
3×	`neg-mul-1` `add-log-exp` `unswap-sqr`
2×	`distribute-frac-neg` `pow-prod-down` `*-commutative` `div-inv`
1×	`pow2` `neg-sub0` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-plus` `div-sub` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `distribute-rgt-neg-out`

Counts

3 → 129

Calls

3 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
9.0ms	(/ (neg v) (* (+ t1 u) (+ t1 u)))
15.0ms	(* t1 (/ (neg v) (* (+ t1 u) (+ t1 u))))

series33.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (+ t1 u) (+ t1 u))
13.0ms	(/ (neg v) (* (+ t1 u) (+ t1 u)))
17.0ms	(* t1 (/ (neg v) (* (+ t1 u) (+ t1 u))))

simplify35.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4986	1440
1	4986	1440

prune188.0ms

Filtered

92 candidates to 138 candidates (-50.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	130	8	138
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	131	9	140

Merged error: 0.0b

Counts

140 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (neg v) (+ t1 u))
0.0b	(/ t1 (+ t1 u))
0.3b	(* (/ t1 (+ t1 u)) (/ (neg v) (+ t1 u)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-r`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-l`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-rgt-neg-out`

Counts

3 → 192

Calls

3 calls:

6.0ms	(/ (neg v) (+ t1 u))
5.0ms	(/ t1 (+ t1 u))
26.0ms	(* (/ t1 (+ t1 u)) (/ (neg v) (+ t1 u)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (neg v) (+ t1 u))
5.0ms	(/ t1 (+ t1 u))
23.0ms	(* (/ t1 (+ t1 u)) (/ (neg v) (+ t1 u)))

simplify53.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4997	2217
1	4997	2217

prune177.0ms

Filtered

132 candidates to 201 candidates (-52.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	204	6	210

Merged error: 0b

Counts

210 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (neg v) (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.5b	(* (* t1 (/ (neg v) (+ t1 u))) (/ 1 (+ t1 u)))
6.7b	(* t1 (/ (neg v) (+ t1 u)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
105×	`times-frac`
76×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
64×	`associate-r`
54×	`add-exp-log`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
4×	`rec-exp` `flip3-+` `1-exp` `associate-r/` `associate-l*` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-frac-neg`
2×	`frac-2neg` `clear-num` `*-commutative` `distribute-rgt-neg-out` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-*l/` `un-div-inv` `inv-pow`

Counts

4 → 225

Calls

4 calls:

6.0ms	(/ (neg v) (+ t1 u))
5.0ms	(/ 1 (+ t1 u))
16.0ms	(* (* t1 (/ (neg v) (+ t1 u))) (/ 1 (+ t1 u)))
15.0ms	(* t1 (/ (neg v) (+ t1 u)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (neg v) (+ t1 u))
4.0ms	(/ 1 (+ t1 u))
19.0ms	(* (* t1 (/ (neg v) (+ t1 u))) (/ 1 (+ t1 u)))
10.0ms	(* t1 (/ (neg v) (+ t1 u)))

simplify55.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5126	2280

prune186.0ms

Filtered

137 candidates to 237 candidates (-73.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	236	1	237
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	237	6	243

Merged error: 0b

Counts

243 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) t1)
0.0b	(/ (neg v) (+ t1 u))
0.3b	(* (/ 1 (/ (+ t1 u) t1)) (/ (neg v) (+ t1 u)))
0.6b	(/ 1 (/ (+ t1 u) t1))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

289×	`times-frac`
248×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
64×	`add-exp-log`
53×	`associate-l`
46×	`associate-r` `distribute-lft-out`
34×	`add-cbrt-cube`
30×	`div-exp`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`associate-/r*`
17×	`associate-/l*`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`unswap-sqr`
9×	`neg-mul-1`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`distribute-frac-neg` `associate-/l/`
1×	`neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-rgt-neg-out` `inv-pow`

Counts

4 → 333

Calls

4 calls:

5.0ms	(/ (+ t1 u) t1)
8.0ms	(/ (neg v) (+ t1 u))
47.0ms	(* (/ 1 (/ (+ t1 u) t1)) (/ (neg v) (+ t1 u)))
8.0ms	(/ 1 (/ (+ t1 u) t1))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (+ t1 u) t1)
7.0ms	(/ (neg v) (+ t1 u))
21.0ms	(* (/ 1 (/ (+ t1 u) t1)) (/ (neg v) (+ t1 u)))
5.0ms	(/ 1 (/ (+ t1 u) t1))

simplify77.0ms

Algorithm

egg-herbie

Counts

345 → 345

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5442	4033

prune267.0ms

Filtered

209 candidates to 345 candidates (-65.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	343	2	345
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	346	5	351

Merged error: 0b

Counts

351 → 5

regimes152.0ms

Accuracy

0% (0.7b remaining)

Error of 1.3b against oracle of 0.6b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	12
1	82	12

end0.0ms

sample478.0ms

Algorithm

intervals

Results

280.0ms	8000×	body	80	valid
9.0ms	286×	body	80	invalid

Details

analyze250.0ms

sample19.0ms

simplify37.0ms

prune11.0ms

localize7.0ms

rewrite39.0ms

series33.0ms

simplify35.0ms

prune188.0ms

localize7.0ms

rewrite45.0ms

series35.0ms

simplify53.0ms

prune177.0ms

localize11.0ms

rewrite51.0ms

series41.0ms

simplify55.0ms

prune186.0ms

localize11.0ms

rewrite84.0ms

series36.0ms

simplify77.0ms

prune267.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample478.0ms

Profiling