Details

sample49.8s

Algorithm

intervals

Results

49.4s	3451×	body	10240	exit
149.0ms	3708×	pre	80	true
30.0ms	248×	body	80	valid
8.0ms	2×	body	2560	valid
1.0ms	5×	body	160	valid
1.0ms	1×	body	1280	valid
1.0ms	1×	body	640	valid

simplify848.0ms

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: 5.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (- t)))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
3.4b	(/ (* (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)))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
37×	`*-un-lft-identity`
36×	`unpow-prod-down`
25×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-/r/` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `flip-+` `div-inv`
2×	`pow-pow` `sqr-pow`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r` `sum-log` `associate-/l`

Counts

4 → 275

Calls

4 calls:

9.0ms	(+ 1.0 (exp (- t)))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
176.0ms	(/ (* (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)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ 1.0 (exp (- t)))
77.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
77.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
656.0ms	(/ (* (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)))

simplify814.0ms

Counts

287 → 287

Iterations

Useful iterations: 2 (351.0ms)

Iter	Nodes	Cost
0	351	10760
1	835	9961
2	2336	9631
done	5000	9631

prune543.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite21.0ms

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:

20.0ms

(* 0.5 (* s c_n))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* 0.5 (* s c_n))

simplify5.6s

Counts

23 → 23

Iterations

Useful iterations: 2 (35.0ms)

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

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.0b	(+ 1.0 (exp (- t)))
0.9b	(/ (* (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)))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

169×	`add-exp-log`
87×	`prod-exp`
85×	`*-un-lft-identity`
65×	`div-exp`
62×	`add-sqr-sqrt`
57×	`add-cube-cbrt`
55×	`pow-exp`
54×	`prod-diff`
50×	`times-frac`
42×	`pow-to-exp`
18×	`unpow-prod-down`
16×	`add-cbrt-cube`
13×	`distribute-lft-out`
8×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `fma-neg`
2×	`difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `diff-log` `clear-num` `associate-/r` `sum-log` `flip--` `associate-/l` `distribute-lft-out--` `sqr-pow`

Counts

4 → 197

Calls

4 calls:

40.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
9.0ms	(+ 1.0 (exp (- t)))
151.0ms	(/ (* (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)))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

series933.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
11.0ms	(+ 1.0 (exp (- t)))
796.0ms	(/ (* (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)))
77.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

simplify1.4s

Counts

209 → 209

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	411	8426
1	1037	7628
2	3346	6380
done	5000	6089

prune619.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (- t)))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
3.4b	(/ (* (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)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
37×	`*-un-lft-identity`
36×	`unpow-prod-down`
25×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-/r/` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `flip-+` `div-inv`
2×	`pow-pow` `sqr-pow`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r` `sum-log` `associate-/l`

Counts

4 → 275

Calls

4 calls:

9.0ms	(+ 1.0 (exp (- t)))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
177.0ms	(/ (* (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)))

series823.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ 1.0 (exp (- t)))
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
661.0ms	(/ (* (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)))

simplify815.0ms

Counts

287 → 287

Iterations

Useful iterations: 2 (352.0ms)

Iter	Nodes	Cost
0	351	10760
1	835	9961
2	2336	9631
done	5000	9631

prune600.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes318.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
done	15	12

end0.0ms

sample2.1m

Algorithm

intervals

Results

2.1m	9753×	body	10240	exit
888.0ms	10503×	pre	80	true
76.0ms	730×	body	80	valid
32.0ms	5×	body	1280	valid
13.0ms	3×	body	2560	valid
3.0ms	9×	body	160	valid
3.0ms	3×	body	640	valid