Details

sample44.6s

Algorithm

intervals

Results

44.1s	3037×	body	10240	exit
211.0ms	3294×	pre	80	true
31.0ms	252×	body	80	valid
3.0ms	1×	body	1280	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify616.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	839	43
done	5001	43

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.2b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
97×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
62×	`times-frac`
54×	`prod-diff`
36×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`distribute-lft-out`
10×	`associate-/r/`
6×	`pow1` `pow-unpow` `div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-pow` `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 → 332

Calls

4 calls:

41.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
174.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
649.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify1.6s

Counts

344 → 344

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	471	14274
1	1137	13014
2	3191	11812
done	5000	11521

prune569.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

16.0ms

(* 0.5 (* s c_n))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* 0.5 (* s c_n))

simplify5.7s

Counts

23 → 23

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	37	166
1	87	163
2	300	133
3	1003	133
4	2173	133
5	4443	133
done	5001	133

prune54.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

169×	`add-exp-log`
145×	`*-un-lft-identity`
109×	`add-sqr-sqrt`
108×	`prod-diff`
99×	`add-cube-cbrt`
87×	`times-frac` `prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
21×	`distribute-lft-out`
18×	`unpow-prod-down`
16×	`add-cbrt-cube`
14×	`associate-/r/`
8×	`div-inv` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`fma-neg`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `difference-of-squares`
3×	`pow-unpow`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`pow-pow` `frac-2neg` `clear-num` `associate-/r` `associate-/l` `sqr-pow`

Counts

4 → 254

Calls

4 calls:

41.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
40.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
155.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series963.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
48.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
785.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify1.6s

Counts

266 → 266

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	550	11940
1	1359	10677
2	4218	8567
done	5000	8555

prune868.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- t))))
0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.9b	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

147×	`*-un-lft-identity`
109×	`add-sqr-sqrt`
108×	`prod-diff`
99×	`add-cube-cbrt`
87×	`times-frac`
54×	`add-exp-log`
24×	`prod-exp`
22×	`distribute-lft-out`
18×	`add-cbrt-cube`
17×	`div-exp`
14×	`associate-/r/`
8×	`pow-to-exp` `pow-exp` `div-inv` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`fma-neg`
5×	`cbrt-undiv` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
2×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `distribute-lft-out--`

Counts

4 → 218

Calls

4 calls:

17.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
41.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
41.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
138.0ms	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series843.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
53.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
48.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
714.0ms	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify1.5s

Counts

230 → 230

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	505	10118
1	1242	8991
2	3948	6839
done	5000	6827

prune904.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.0b

regimes579.0ms

bsearch18.8s

Steps

Iters	Range		Point
7	7.355739963951051e-32	2.9354910642990618e-30	2.348046779649347e-31
12	-2.629593170976357e+50	-2256.21797454511	-531421872.05187196

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	38	108
1	51	65
done	51	65

end0.0ms

sample7.8m

Algorithm

intervals

Results

7.8m	36253×	body	10240	exit
2.3s	39186×	pre	80	true
399.0ms	2835×	body	80	valid
40.0ms	24×	body	1280	valid
31.0ms	8×	body	2560	valid
28.0ms	4×	body	5120	valid
17.0ms	19×	body	640	valid
10.0ms	33×	body	160	valid
5.0ms	10×	body	320	valid