Details

analyze823.0ms

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample28.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	111×	body	80	invalid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5100	13

prune10.0ms

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: 0.3b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(+ y (* (+ x z) (/ (- x z) y)))
0.2b	(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
0.3b	(* (+ x z) (/ (- x z) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
40×	`times-frac`
32×	`add-cube-cbrt`
19×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`flip3-+` `associate-l` `flip-+` `associate-/l/`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

5.0ms	(/ (- x z) y)
7.0ms	(+ y (* (+ x z) (/ (- x z) y)))
6.0ms	(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
11.0ms	(* (+ x z) (/ (- x z) y))

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (- x z) y)
12.0ms	(+ y (* (+ x z) (/ (- x z) y)))
15.0ms	(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
12.0ms	(* (+ x z) (/ (- x z) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5772	1688

prune155.0ms

Filtered

95 candidates to 133 candidates (-40.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	125	8	133
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	126	9	135

Merged error: 0.3b

Counts

135 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
0.2b	(/ (+ y (* (+ x z) (/ 1 (/ y (- x z))))) 2.0)
0.3b	(* (+ x z) (/ 1 (/ y (- x z))))
0.8b	(/ 1 (/ y (- x z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
176×	`add-sqr-sqrt`
166×	`*-un-lft-identity`
120×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
24×	`associate-/r*`
21×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
16×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `flip3--` `prod-exp` `flip--`
6×	`associate-/l*` `add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `flip3-+` `1-exp` `associate-l` `flip-+`
3×	`cbrt-unprod`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

4 → 250

Calls

4 calls:

4.0ms	(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
6.0ms	(/ (+ y (* (+ x z) (/ 1 (/ y (- x z))))) 2.0)
27.0ms	(* (+ x z) (/ 1 (/ y (- x z))))
9.0ms	(/ 1 (/ y (- x z)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
15.0ms	(/ (+ y (* (+ x z) (/ 1 (/ y (- x z))))) 2.0)
11.0ms	(* (+ x z) (/ 1 (/ y (- x z))))
7.0ms	(/ 1 (/ y (- x z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5127	3394

prune246.0ms

Filtered

169 candidates to 262 candidates (-55.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	260	2	262
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	265	6	271

Merged error: 0.3b

Counts

271 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- x z))
0.0b	(+ y (/ (+ x z) (/ y (- x z))))
0.2b	(/ (+ y (/ (+ x z) (/ y (- x z)))) 2.0)
0.3b	(/ (+ x z) (/ y (- x z)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac`
182×	`*-un-lft-identity`
128×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
29×	`associate-/r*`
27×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
13×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*`
8×	`div-inv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l/`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 208

Calls

4 calls:

5.0ms	(/ y (- x z))
24.0ms	(+ y (/ (+ x z) (/ y (- x z))))
25.0ms	(/ (+ y (/ (+ x z) (/ y (- x z)))) 2.0)
14.0ms	(/ (+ x z) (/ y (- x z)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ y (- x z))
11.0ms	(+ y (/ (+ x z) (/ y (- x z))))
14.0ms	(/ (+ y (/ (+ x z) (/ y (- x z)))) 2.0)
11.0ms	(/ (+ x z) (/ y (- x z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	3445
1	4977	3445

prune174.0ms

Filtered

149 candidates to 220 candidates (-47.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	218	2	220
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	221	5	226

Merged error: 0.3b

Counts

226 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x z))
0.2b	(/ (+ y (/ (+ x z) (* y (/ 1 (- x z))))) 2.0)
0.2b	(* y (/ 1 (- x z)))
0.3b	(/ (+ x z) (* y (/ 1 (- x z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
48×	`times-frac`
35×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
21×	`associate-r`
12×	`div-exp`
11×	`associate-/l*`
9×	`associate-/r*`
8×	`prod-exp`
7×	`pow1` `cbrt-undiv` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/` `distribute-lft-out`
4×	`cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num` `unswap-sqr`
2×	`flip3--` `flip3-+` `associate-*r/` `un-div-inv` `flip--` `flip-+`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 149

Calls

4 calls:

5.0ms	(/ 1 (- x z))
10.0ms	(/ (+ y (/ (+ x z) (* y (/ 1 (- x z))))) 2.0)
10.0ms	(* y (/ 1 (- x z)))
11.0ms	(/ (+ x z) (* y (/ 1 (- x z))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- x z))
17.0ms	(/ (+ y (/ (+ x z) (* y (/ 1 (- x z))))) 2.0)
7.0ms	(* y (/ 1 (- x z)))
11.0ms	(/ (+ x z) (* y (/ 1 (- x z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5001	1651

prune124.0ms

Filtered

97 candidates to 161 candidates (-66.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	161	5	166

Merged error: 0.3b

Counts

166 → 5

regimes288.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample721.0ms

Algorithm

intervals

Results

350.0ms	8000×	body	80	valid
130.0ms	2945×	body	80	invalid

Details

analyze823.0ms

sample28.0ms

simplify65.0ms

prune10.0ms

localize8.0ms

rewrite34.0ms

series45.0ms

simplify49.0ms

prune155.0ms

localize10.0ms

rewrite58.0ms

series50.0ms

simplify65.0ms

prune246.0ms

localize8.0ms

rewrite80.0ms

series43.0ms

simplify76.0ms

prune174.0ms

localize10.0ms

rewrite41.0ms

series39.0ms

simplify48.0ms

prune124.0ms

regimes288.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample721.0ms

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