Details

analyze113.0ms

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

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5108	11

prune7.0ms

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 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
5.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5061	1226

prune138.0ms

Filtered

65 candidates to 102 candidates (-56.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

6.0ms	(cbrt (+ (/ x y) 1.0))
6.0ms	(cbrt (+ (/ x y) 1.0))
6.0ms	(cbrt (+ (/ x y) 1.0))
18.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ (/ x y) 1.0))
34.0ms	(cbrt (+ (/ x y) 1.0))
39.0ms	(cbrt (+ (/ x y) 1.0))
43.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5057	1186

prune212.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.4b	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.4b	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.4b	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

279×	`*-un-lft-identity`
206×	`cbrt-prod`
158×	`times-frac`
103×	`add-sqr-sqrt`
88×	`distribute-lft-out`
79×	`add-cube-cbrt`
45×	`swap-sqr`
25×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 218

Calls

4 calls:

32.0ms	(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
9.0ms	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
11.0ms	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
9.0ms	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
21.0ms	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
21.0ms	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
25.0ms	(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4850	4741
1	4850	4741

prune502.0ms

Filtered

134 candidates to 230 candidates (-71.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	229	10	239

Merged error: 0b

Counts

239 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
0.4b	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.4b	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.4b	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

5.0ms	(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
11.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
10.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
13.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
35.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
38.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
35.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

simplify79.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4905	1102
1	4905	1102

prune169.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	76	10	86

Merged error: 0b

Counts

86 → 10

regimes192.0ms

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

sample386.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
8.0ms	268×	body	80	invalid

Details

analyze113.0ms

sample18.0ms

simplify92.0ms

prune7.0ms

localize6.0ms

rewrite35.0ms

series15.0ms

simplify53.0ms

prune138.0ms

localize11.0ms

rewrite40.0ms

series150.0ms

simplify52.0ms

prune212.0ms

localize11.0ms

rewrite75.0ms

series95.0ms

simplify75.0ms

prune502.0ms

localize12.0ms

rewrite40.0ms

series159.0ms

simplify79.0ms

prune169.0ms

regimes192.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample386.0ms

Profiling