Details

analyze866.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

sample100.0ms

Algorithm

intervals

Results

27.0ms	415×	body	80	nan
22.0ms	256×	body	80	valid
16.0ms	211×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5017	16

prune17.0ms

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: 0.2b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `exp-sum` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 94

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
6.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
10.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series125.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
43.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
66.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4969	1208
1	4969	1208

prune180.0ms

Filtered

79 candidates to 106 candidates (-34.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	6	108

Merged error: 0.0b

Counts

108 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y))
0.3b	(/ (pow a (- t 1.0)) (exp b))
1.2b	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
145×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
100×	`add-cube-cbrt`
92×	`add-exp-log`
89×	`associate-r`
53×	`unpow-prod-down`
46×	`prod-exp`
45×	`div-exp`
29×	`add-cbrt-cube`
23×	`sqr-pow`
18×	`pow-to-exp` `pow-exp`
15×	`unswap-sqr`
14×	`unpow-prod-up` `sub-neg`
10×	`associate-l` `cbrt-unprod`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv`
5×	`pow-unpow` `div-inv`
4×	`add-log-exp`
3×	`associate-r/` `associate-/r`
2×	`*-commutative` `pow-sub`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 242

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
29.0ms	(* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y))
6.0ms	(/ (pow a (- t 1.0)) (exp b))
18.0ms	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(pow a (- t 1.0))
64.0ms	(* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y))
21.0ms	(/ (pow a (- t 1.0)) (exp b))
75.0ms	(* x (* (pow z y) (/ (/ (pow a (- t 1.0)) (exp b)) y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5008	4197

prune376.0ms

Filtered

184 candidates to 254 candidates (-38.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	252	2	254
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	254	6	260

Merged error: 0b

Counts

260 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(* (pow z y) (pow a (- t 1.0)))
0.4b	(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
1.2b	(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
38×	`prod-exp`
32×	`div-exp`
28×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
16×	`*-un-lft-identity`
15×	`unpow-prod-down`
14×	`add-cube-cbrt`
9×	`unswap-sqr` `sqr-pow`
8×	`cbrt-undiv` `associate-r`
7×	`associate-l`
6×	`times-frac` `cbrt-unprod` `associate-/l*`
5×	`pow1` `pow-unpow`
4×	`add-log-exp`
3×	`associate-*r/` `pow-sub`
2×	`unpow-prod-up` `sub-neg` `frac-2neg` `clear-num` `associate-/r*` `associate-/r/` `div-inv`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
7.0ms	(* (pow z y) (pow a (- t 1.0)))
7.0ms	(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
11.0ms	(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(pow a (- t 1.0))
31.0ms	(* (pow z y) (pow a (- t 1.0)))
55.0ms	(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
62.0ms	(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4985	1955
1	4985	1955

prune255.0ms

Filtered

92 candidates to 140 candidates (-52.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	140	6	146

Merged error: 0b

Counts

146 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sqrt a) (- t 1.0))
0.3b	(pow (sqrt a) (- t 1.0))
0.4b	(* (pow (sqrt a) (- t 1.0)) (/ (pow (sqrt a) (- t 1.0)) (exp b)))
1.2b	(* x (* (pow z y) (/ (* (pow (sqrt a) (- t 1.0)) (/ (pow (sqrt a) (- t 1.0)) (exp b))) y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

191×	`add-exp-log`
133×	`prod-exp`
86×	`add-sqr-sqrt`
75×	`div-exp`
54×	`unpow-prod-down`
49×	`times-frac`
44×	`pow-to-exp` `pow-exp`
39×	`*-un-lft-identity`
38×	`associate-r`
35×	`add-cube-cbrt`
29×	`add-cbrt-cube`
27×	`sqrt-prod`
20×	`unswap-sqr`
15×	`sqr-pow`
14×	`associate-l`
13×	`cbrt-unprod`
10×	`pow1` `pow-unpow`
6×	`unpow-prod-up` `sub-neg` `pow-pow`
5×	`cbrt-undiv`
4×	`pow-sub` `add-log-exp`
3×	`associate-*r/`
2×	`sqrt-pow1` `pow1/2` `*-commutative` `sqrt-pow2` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `pow-prod-down` `associate-*l/` `div-inv`

Counts

4 → 209

Calls

4 calls:

5.0ms	(pow (sqrt a) (- t 1.0))
5.0ms	(pow (sqrt a) (- t 1.0))
18.0ms	(* (pow (sqrt a) (- t 1.0)) (/ (pow (sqrt a) (- t 1.0)) (exp b)))
17.0ms	(* x (* (pow z y) (/ (* (pow (sqrt a) (- t 1.0)) (/ (pow (sqrt a) (- t 1.0)) (exp b))) y)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (sqrt a) (- t 1.0))
46.0ms	(pow (sqrt a) (- t 1.0))
83.0ms	(* (pow (sqrt a) (- t 1.0)) (/ (pow (sqrt a) (- t 1.0)) (exp b)))
125.0ms	(* x (* (pow z y) (/ (* (pow (sqrt a) (- t 1.0)) (/ (pow (sqrt a) (- t 1.0)) (exp b))) y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5005	3781

prune254.0ms

Filtered

116 candidates to 221 candidates (-90.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	221	6	227

Merged error: 0b

Counts

227 → 6

regimes1.0s

Accuracy

-6.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	61
1	42	61

end0.0ms

analyze845.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

sample3.1s

Algorithm

intervals

Results

968.0ms	14280×	body	80	nan
640.0ms	8000×	body	80	valid
563.0ms	7207×	body	80	invalid

Details

analyze866.0ms

sample100.0ms

simplify47.0ms

prune17.0ms

localize17.0ms

rewrite30.0ms

series125.0ms

simplify40.0ms

prune180.0ms

localize14.0ms

rewrite70.0ms

series172.0ms

simplify78.0ms

prune376.0ms

localize14.0ms

rewrite35.0ms

series160.0ms

simplify57.0ms

prune255.0ms

localize17.0ms

rewrite58.0ms

series287.0ms

simplify76.0ms

prune254.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze845.0ms

sample3.1s

Profiling