Details

analyze119.0ms

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5108	11

prune8.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
33×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `associate-r`
18×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r` `associate-/r/` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 81

Calls

2 calls:

10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
6.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4953	1112
1	4953	1112

prune114.0ms

Filtered

55 candidates to 87 candidates (-58.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(* (cbrt x) (cbrt x))

series87.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt x)
20.0ms	(cbrt x)
20.0ms	(cbrt x)
26.0ms	(* (cbrt x) (cbrt x))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune86.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ x y) 1.0))
0.0b	(/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0))
0.1b	(* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0)))
0.1b	(* x (* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
60×	`times-frac`
59×	`add-sqr-sqrt`
49×	`sqrt-prod`
42×	`add-cube-cbrt`
35×	`associate-r`
26×	`distribute-lft-out`
20×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `sqrt-div`
10×	`associate-l`
8×	`flip3-+` `flip-+`
7×	`associate-r/` `prod-exp` `cbrt-unprod` `associate-/l`
6×	`unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-l/` `associate-/r` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 161

Calls

4 calls:

6.0ms	(sqrt (+ (/ x y) 1.0))
11.0ms	(/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0))
26.0ms	(* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0)))
21.0ms	(* x (* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (+ (/ x y) 1.0))
13.0ms	(/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0))
5.0ms	(* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0)))
7.0ms	(* x (* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (+ x 1.0))))

simplify64.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4978	2498
1	4978	2498

prune208.0ms

Filtered

101 candidates to 173 candidates (-71.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	173	8	181

Merged error: 0.0b

Counts

181 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b	(* x (cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)))
0.3b	(pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)
16.3b	(cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
114×	`times-frac`
106×	`cbrt-prod`
88×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
68×	`unpow-prod-down` `cube-prod`
58×	`distribute-lft-out`
53×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3-+` `flip-+`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`associate-/r` `associate-/l` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 239

Calls

4 calls:

10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
26.0ms	(* x (cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)))
12.0ms	(pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)
12.0ms	(cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms	(* x (cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)))
14.0ms	(pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)
5.0ms	(cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5235	3601

prune199.0ms

Filtered

108 candidates to 251 candidates (-132.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	250	9	259

Merged error: 0.0b

Counts

259 → 9

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample401.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
7.0ms	236×	body	80	invalid

Details

analyze119.0ms

sample15.0ms

simplify93.0ms

prune8.0ms

localize6.0ms

rewrite28.0ms

series14.0ms

simplify61.0ms

prune114.0ms

localize10.0ms

rewrite10.0ms

series87.0ms

simplify44.0ms

prune86.0ms

localize9.0ms

rewrite70.0ms

series40.0ms

simplify64.0ms

prune208.0ms

localize10.0ms

rewrite72.0ms

series31.0ms

simplify71.0ms

prune199.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample401.0ms

Profiling