Details

sample5.5s

Algorithm

intervals

Results

3.5s	499×	body	5120	exit
701.0ms	260×	body	1280	overflowed
460.0ms	2226×	body	80	overflowed
365.0ms	262×	body	640	overflowed
95.0ms	115×	body	320	overflowed
84.0ms	3687×	pre	80	true
32.0ms	249×	body	80	valid
30.0ms	69×	body	160	overflowed
7.0ms	1×	body	5120	valid
4.0ms	2×	body	1280	valid
1.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5092	43

prune10.0ms

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: 4.5b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
1.9b	(/ (* (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)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

553×	`add-exp-log`
312×	`prod-exp`
262×	`pow-exp`
248×	`div-exp`
183×	`pow-to-exp`
23×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`times-frac`
13×	`add-cube-cbrt`
8×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `cbrt-unprod` `difference-of-squares`
3×	`pow-unpow` `distribute-lft-out`
2×	`sub-neg` `flip3--` `diff-log` `associate-/r/` `flip--` `div-inv` `distribute-lft-out--`
1×	`pow-pow` `frac-2neg` `flip3-+` `clear-num` `associate-/r` `flip-+` `associate-/l` `sqr-pow`

Counts

4 → 249

Calls

4 calls:

9.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
9.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
42.0ms	(/ (* (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)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
176.0ms	(/ (* (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)))

simplify141.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4962	9158
1	4962	9158

prune338.0ms

Filtered

64 candidates to 261 candidates (-307.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	257	4	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	4	262

Merged error: 0.1b

Counts

262 → 4

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×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

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

29 → 29

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5017	242

prune39.0ms

Filtered

16 candidates to 29 candidates (-81.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.1b

Counts

33 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
1.2b	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
10.5b	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))
10.6b	(- (log (/ 1.0 (+ 1.0 (exp (neg s))))) (log (/ 1.0 (+ 1.0 (exp (neg t))))))

rewrite58.0ms

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 → 146

Calls

4 calls:

5.0ms	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
6.0ms	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
26.0ms	(- (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))))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
15.0ms	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
29.0ms	(- (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))))))

simplify69.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	2805
1	4963	2805

prune491.0ms

Filtered

112 candidates to 158 candidates (-41.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	158	4	162

Merged error: 0.1b

Counts

162 → 4

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))))))))
0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
10.5b	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

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))))))))
11.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
10.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
22.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* c_n (- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))))))
12.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
12.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
32.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

simplify133.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4914	2740
1	4914	2740

prune265.0ms

Filtered

78 candidates to 120 candidates (-53.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	121	3	124

Merged error: 0.1b

Counts

124 → 3

regimes435.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

sample1.5min

Algorithm

intervals

Results

56.7s	8365×	body	5120	exit
11.3s	4527×	body	1280	overflowed
7.1s	36437×	body	80	overflowed
5.4s	4020×	body	640	overflowed
1.6s	2011×	body	320	overflowed
1.3s	60569×	pre	80	true
506.0ms	4111×	body	80	valid
428.0ms	996×	body	160	overflowed
62.0ms	27×	body	1280	valid
47.0ms	9×	body	2560	valid
22.0ms	19×	body	640	valid
15.0ms	2×	body	5120	valid
13.0ms	37×	body	160	valid
5.0ms	8×	body	320	valid

Details

sample5.5s

simplify45.0ms

prune10.0ms

localize21.0ms

rewrite89.0ms

series204.0ms

simplify141.0ms

prune338.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify36.0ms

prune39.0ms

localize27.0ms

rewrite58.0ms

series84.0ms

simplify69.0ms

prune491.0ms

localize27.0ms

rewrite63.0ms

series131.0ms

simplify133.0ms

prune265.0ms

regimes435.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5min

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