Details

sample45.8s

Algorithm

intervals

Results

45.4s	3219×	body	10240	exit
154.0ms	3475×	pre	80	true
30.0ms	243×	body	80	valid
17.0ms	1×	body	5120	valid
9.0ms	4×	body	1280	valid
3.0ms	3×	body	640	valid
2.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	847
2	147
1	53
0	22

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.7b	(/ (* (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)))

rewrite201.0ms

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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 267

Calls

4 calls:

23.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
132.0ms	(/ (* (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)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
615.0ms	(/ (* (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)))

simplify1.7s

Counts

279 → 279

Iterations

Iter	Nodes
done	5000
2	4334
1	1202
0	366

prune677.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize95.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
0.5b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
2.7b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.6b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
16×	`add-log-exp`
11×	`add-exp-log`
7×	`pow1`
6×	`flip3-+` `flip-+` `distribute-lft-out`
5×	`rem-log-exp`
4×	`log-div` `sum-log` `add-cbrt-cube` `diff-log` `associate-/r/` `frac-sub`
3×	`log-pow` `difference-of-squares`
2×	`flip3--` `div-exp` `div-inv` `flip--` `distribute-lft-out--`
1×	`sub-neg` `associate--l+` `associate--r+`

Counts

4 → 98

Calls

4 calls:

23.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
8.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
43.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
73.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
73.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
386.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2877
1	824
0	331

prune722.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p)
0.5b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
2.7b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.6b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (- (- (log 0.5) (* 0.5 t)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_n)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod` `*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-log-exp`
12×	`add-exp-log`
9×	`pow1`
6×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
4×	`sum-log` `diff-log` `rem-log-exp` `associate-l` `associate-/r/` `frac-sub`
3×	`associate-r` `log-pow`
2×	`log-div` `div-exp` `div-inv`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

7.0ms	(* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p)
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
54.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (- (- (log 0.5) (* 0.5 t)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_n)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p)
74.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
430.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (- (- (log 0.5) (* 0.5 t)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_n)))

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2909
1	808
0	319

prune858.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes385.0ms

bsearch3.8s

Steps

Iters	Range		Point
7	-1633.4135693106575	-54.23239259073968	-126.54595203432804

simplify11.0ms

Iterations

Iter	Nodes
done	65
1	65
0	48

end0.0ms

sample9.0m

Algorithm

intervals

Results

8.9m	41102×	body	10240	exit
2.7s	44307×	pre	80	true
640.0ms	3086×	body	80	valid
110.0ms	9×	body	5120	valid
46.0ms	24×	body	1280	valid
41.0ms	41×	body	160	valid
18.0ms	6×	body	2560	valid
17.0ms	18×	body	640	valid
9.0ms	20×	body	320	valid