Details

analyze917.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

sample34.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
7.0ms	161×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	15
1	48	15

prune12.0ms

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: 26.0b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (/ x (* y y)))
5.7b	(* z (/ z (* t t)))
8.9b	(/ z (* t t))
13.9b	(/ x (* y y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/l*`
4×	`div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* x (/ x (* y y)))
6.0ms	(* z (/ z (* t t)))
4.0ms	(/ z (* t t))
7.0ms	(/ x (* y y))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x (/ x (* y y)))
5.0ms	(* z (/ z (* t t)))
5.0ms	(/ z (* t t))
5.0ms	(/ x (* y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5409	716

prune167.0ms

Filtered

68 candidates to 110 candidates (-61.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	96	14	110
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	15	112

Merged error: 1.5b

Counts

112 → 15

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
0.3b	(* (/ x y) (/ x y))
5.7b	(* z (/ z (* t t)))
8.9b	(/ z (* t t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
47×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log` `add-cbrt-cube`
20×	`associate-r`
16×	`associate-l`
13×	`pow1` `swap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp`
6×	`associate-*r/` `div-inv` `add-log-exp` `unswap-sqr`
3×	`frac-add` `associate-/l*`
2×	`frac-times` `pow-prod-down` `associate-l/` `-commutative`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `clear-num` `associate-/r*` `sum-log` `pow-sqr` `pow-prod-up` `flip-+`

Counts

4 → 130

Calls

4 calls:

8.0ms	(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
9.0ms	(* (/ x y) (/ x y))
6.0ms	(* z (/ z (* t t)))
4.0ms	(/ z (* t t))

series41.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
5.0ms	(* (/ x y) (/ x y))
8.0ms	(* z (/ z (* t t)))
5.0ms	(/ z (* t t))

simplify43.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5537	1196

prune170.0ms

Filtered

89 candidates to 142 candidates (-59.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	134	8	142
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	143	14	157

Merged error: 0.0b

Counts

157 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ x y) (/ x y))
0.3b	(* (/ z t) (/ z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 154

Calls

3 calls:

10.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
9.0ms	(* (/ x y) (/ x y))
9.0ms	(* (/ z t) (/ z t))

series34.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms	(* (/ x y) (/ x y))
5.0ms	(* (/ z t) (/ z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4990	1511
1	4990	1511

prune177.0ms

Filtered

104 candidates to 163 candidates (-56.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	164	13	177

Merged error: 0.0b

Counts

177 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (/ t z))
0.3b	(* (/ x y) (/ x y))
0.5b	(/ 1 (* t (/ t z)))
5.7b	(* z (/ 1 (* t (/ t z))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
64×	`add-sqr-sqrt`
56×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-cbrt-cube`
34×	`associate-r`
28×	`prod-exp`
23×	`div-exp`
19×	`associate-l`
18×	`pow1`
14×	`cbrt-unprod`
13×	`cbrt-undiv` `swap-sqr`
7×	`div-inv` `unswap-sqr`
6×	`rec-exp` `1-exp`
5×	`associate-*r/`
4×	`pow-prod-down` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`pow-flip` `associate-/r/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-l/` `clear-num` `associate-/r` `pow-sqr` `un-div-inv` `pow-prod-up` `inv-pow`

Counts

4 → 169

Calls

4 calls:

7.0ms	(* t (/ t z))
9.0ms	(* (/ x y) (/ x y))
7.0ms	(/ 1 (* t (/ t z)))
9.0ms	(* z (/ 1 (* t (/ t z))))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* t (/ t z))
5.0ms	(* (/ x y) (/ x y))
3.0ms	(/ 1 (* t (/ t z)))
5.0ms	(* z (/ 1 (* t (/ t z))))

simplify65.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4948	1205
1	4948	1205

prune123.0ms

Filtered

104 candidates to 181 candidates (-74.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	181	13	194

Merged error: 0.0b

Counts

194 → 13

regimes804.0ms

Accuracy

58.9% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 4.8b

bsearch129.0ms

Steps

Iters	Range		Point
10	8.401764726393144e+198	1.4741272468559044e+214	1.1255167977815244e+199
8	1.2425953669434707e-272	5.456745855230894e-269	1.8116009526472228e-272
7	-1.4398952530970475e-221	-8.396486513743333e-223	-7.167240071025731e-222
10	-1.6073833354772067e+53	-5.039894589920128e+38	-8.615083971814368e+45

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	66
1	51	66

end0.0ms

sample992.0ms

Algorithm

intervals

Results

362.0ms	8000×	body	80	valid
272.0ms	5851×	body	80	invalid

Details

analyze917.0ms

sample34.0ms

simplify3.0ms

prune12.0ms

localize9.0ms

rewrite28.0ms

series21.0ms

simplify46.0ms

prune167.0ms

localize8.0ms

rewrite33.0ms

series41.0ms

simplify43.0ms

prune170.0ms

localize7.0ms

rewrite35.0ms

series34.0ms

simplify50.0ms

prune177.0ms

localize10.0ms

rewrite38.0ms

series17.0ms

simplify65.0ms

prune123.0ms

regimes804.0ms

bsearch129.0ms

simplify2.0ms

end0.0ms

sample992.0ms

Profiling