Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	341	9
1	341	9

prune2.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
9.0ms	(* x (+ 0.253 (* x 0.12)))

simplify47.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5079	325

prune54.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* x (+ 0.253 (* x 0.12))))
0.1b	(* x (+ 0.253 (* x 0.12)))
0.1b	(* x (+ 0.253 (* x 0.12)))
0.3b	(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* x (+ 0.253 (* x 0.12)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
30×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
18×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1/2`
10×	`add-exp-log` `associate-r` `associate-l` `pow-prod-up` `add-cbrt-cube`
9×	`flip3-+` `flip-+`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 114

Calls

4 calls:

4.0ms	(sqrt (* x (+ 0.253 (* x 0.12))))
5.0ms	(* x (+ 0.253 (* x 0.12)))
5.0ms	(* x (+ 0.253 (* x 0.12)))
12.0ms	(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* x (+ 0.253 (* x 0.12)))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (* x (+ 0.253 (* x 0.12))))
6.0ms	(* x (+ 0.253 (* x 0.12)))
6.0ms	(* x (+ 0.253 (* x 0.12)))
7.0ms	(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* x (+ 0.253 (* x 0.12)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4947	1210
1	4947	1210

prune163.0ms

Filtered

71 candidates to 126 candidates (-77.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

176×	`associate-*r/`
168×	`cbrt-div`
136×	`frac-times`
132×	`sqrt-div`
111×	`flip3-+` `flip-+`
44×	`associate-*l/`
38×	`pow1`
26×	`pow-prod-down`
16×	`sqrt-pow1`
11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `add-log-exp`
3×	`pow1/3`
2×	`pow1/2` `sqrt-prod`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

25.0ms	(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (sqrt (* x (+ 0.253 (* x 0.12)))) (sqrt (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))))
7.0ms	(cbrt (+ 0.253 (* x 0.12)))
11.0ms	(cbrt (+ 0.253 (* x 0.12)))
7.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify70.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4980	6045
1	4980	6045

prune421.0ms

Filtered

97 candidates to 161 candidates (-66.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	160	7	167

Merged error: 0b

Counts

167 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
0.4b	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
0.4b	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
0.6b	(pow (cbrt (sqrt (* x (+ 0.253 (* x 0.12))))) 4)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
6×	`cbrt-div` `sqrt-div` `associate-*r/`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

4.0ms	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
4.0ms	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
4.0ms	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
4.0ms	(pow (cbrt (sqrt (* x (+ 0.253 (* x 0.12))))) 4)

series50.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
11.0ms	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
9.0ms	(cbrt (sqrt (* x (+ 0.253 (* x 0.12)))))
20.0ms	(pow (cbrt (sqrt (* x (+ 0.253 (* x 0.12))))) 4)

simplify55.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4977	1402
1	4977	1402

prune284.0ms

Filtered

67 candidates to 76 candidates (-13.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	76	7	83

Merged error: 0b

Counts

83 → 7

regimes138.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	9
1	63	9

end0.0ms

sample292.0ms

Algorithm

intervals

Results

200.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample11.0ms

simplify12.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series13.0ms

simplify47.0ms

prune54.0ms

localize8.0ms

rewrite29.0ms

series23.0ms

simplify56.0ms

prune163.0ms

localize14.0ms

rewrite47.0ms

series33.0ms

simplify70.0ms

prune421.0ms

localize13.0ms

rewrite19.0ms

series50.0ms

simplify55.0ms

prune284.0ms

regimes138.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample292.0ms

Profiling