Details

analyze4.4s

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
0%	25%	75%	8
1.6%	23.4%	75%	9
1.6%	23.4%	75%	10
1.6%	23.4%	75%	11
1.6%	23.4%	75%	12
1.6%	23.4%	75%	13
1.6%	23.4%	75%	14

sample6.2s

Algorithm

intervals

Results

4.2s	580×	body	5120	exit
730.0ms	279×	body	1280	overflowed
504.0ms	2468×	body	80	overflowed
372.0ms	270×	body	640	overflowed
103.0ms	127×	body	320	overflowed
100.0ms	4059×	pre	80	true
37.0ms	79×	body	160	overflowed
31.0ms	245×	body	80	valid
7.0ms	3×	body	1280	valid
6.0ms	2×	body	2560	valid
1.0ms	2×	body	320	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	640	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5092	43

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.3b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
2.0b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
2.4b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
36×	`unpow-prod-down` `*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`div-inv`
2×	`pow-pow` `flip3-+` `flip-+` `difference-of-squares` `sqr-pow`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 266

Calls

4 calls:

10.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
9.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
41.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
187.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify104.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5002	9443

prune284.0ms

Filtered

75 candidates to 278 candidates (-270.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	273	5	278
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	5	279

Merged error: 0.5b

Counts

279 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* s 0.5) (- c_p c_n))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* s 0.5) (- c_p c_n))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (* s 0.5) (- c_p c_n))

simplify36.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5017	220

prune46.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Merged error: 0.5b

Counts

32 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
2.0b	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
11.5b	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))
11.5b	(- (log (/ 1.0 (+ 1.0 (exp (neg s))))) (log (/ 1.0 (+ 1.0 (exp (neg t))))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

84×	`log-prod`
74×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
50×	`times-frac`
38×	`add-cube-cbrt`
24×	`associate--l+` `associate--r+`
14×	`pow1`
12×	`distribute-lft-out`
10×	`add-exp-log` `log-pow` `distribute-lft-out--`
8×	`log-div` `associate-/r/`
6×	`difference-of-squares`
4×	`flip3--` `flip3-+` `rem-log-exp` `add-cbrt-cube` `flip--` `flip-+` `div-inv` `add-log-exp`
3×	`associate--l-` `associate--r-`
2×	`sub-neg` `diff-log` `div-exp`

Counts

4 → 144

Calls

4 calls:

6.0ms	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
6.0ms	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
22.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))
15.0ms	(- (log (/ 1.0 (+ 1.0 (exp (neg s))))) (log (/ 1.0 (+ 1.0 (exp (neg t))))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
15.0ms	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
32.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))
22.0ms	(- (log (/ 1.0 (+ 1.0 (exp (neg s))))) (log (/ 1.0 (+ 1.0 (exp (neg t))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4963	2785
1	4963	2785

prune460.0ms

Filtered

112 candidates to 156 candidates (-39.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	158	3	161

Merged error: 0.3b

Counts

161 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* c_n (- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))))))
0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.2b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))))
11.5b	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
30×	`log-prod`
18×	`associate--l+`
15×	`pow1`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`add-cube-cbrt`
10×	`log-div`
9×	`distribute-rgt-in` `distribute-lft-in` `log-pow`
8×	`flip3--` `associate-r` `flip--`
7×	`add-exp-log`
6×	`times-frac` `add-cbrt-cube` `associate--r+` `associate--r-` `add-log-exp`
4×	`sub-neg`
3×	`associate-l`
2×	`associate--l-` `diff-log` `associate-*r/`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

17.0ms	(* c_n (- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))))))
10.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
10.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))))
24.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* c_n (- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))))))
7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
19.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))))
33.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5011	2737

prune261.0ms

Filtered

79 candidates to 118 candidates (-49.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	118	3	121

Merged error: 0.3b

Counts

121 → 3

regimes673.0ms

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	167	77
1	167	77

end0.0ms

sample2.3min

Algorithm

intervals

Results

1.5min	13055×	body	5120	exit
17.5s	6895×	body	1280	overflowed
11.3s	56491×	body	80	overflowed
8.7s	6485×	body	640	overflowed
2.4s	3083×	body	320	overflowed
2.2s	94240×	pre	80	true
791.0ms	6414×	body	80	valid
696.0ms	1595×	body	160	overflowed
99.0ms	13×	body	5120	valid
93.0ms	37×	body	1280	valid
44.0ms	38×	body	640	valid
40.0ms	11×	body	2560	valid
33.0ms	96×	body	160	valid
14.0ms	23×	body	320	valid
2.0ms	1×	body	1280	invalid
1.0ms	3×	body	80	invalid

Details

analyze4.4s

sample6.2s

simplify47.0ms

prune13.0ms

localize22.0ms

rewrite86.0ms

series223.0ms

simplify104.0ms

prune284.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify36.0ms

prune46.0ms

localize30.0ms

rewrite55.0ms

series85.0ms

simplify67.0ms

prune460.0ms

localize27.0ms

rewrite64.0ms

series106.0ms

simplify63.0ms

prune261.0ms

regimes673.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3min

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