Details

sample49.4s

Algorithm

intervals

Results

48.8s	3330×	body	10240	exit
273.0ms	3586×	pre	80	true
33.0ms	252×	body	80	valid
5.0ms	2×	body	1280	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- t))))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.5b	(/ (* (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)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

558×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
250×	`div-exp`
184×	`pow-to-exp`
51×	`*-un-lft-identity`
37×	`times-frac`
36×	`unpow-prod-down`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-cbrt-cube`
10×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `associate-/r/`
5×	`cbrt-undiv` `associate-/r*`
4×	`cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`clear-num` `pow-pow` `frac-2neg` `sqr-pow`

Counts

4 → 285

Calls

4 calls:

14.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
140.0ms	(/ (* (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)))

series806.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
628.0ms	(/ (* (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)))

simplify1.8s

Counts

297 → 297

Iterations

Iter	Nodes
done	5001
2	4456
1	1196
0	358

prune858.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 36

Calls

2 calls:

12.0ms	(* 0.5 (* c_p s))
12.0ms	(* 0.5 (* c_n s))

series45.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* 0.5 (* c_p s))
21.0ms	(* 0.5 (* c_n s))

simplify1.7s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	2493
2	589
1	158
0	60

prune180.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
1.2b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
1.5b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.0b	(- (+ (* (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)))

rewrite88.0ms

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:

24.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
8.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
8.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
46.0ms	(- (+ (* (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)))

series642.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
74.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
72.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
394.0ms	(- (+ (* (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)))

simplify1.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2877
1	824
0	331

prune775.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize105.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p)
0.3b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
1.2b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
10.0b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (+ (log 0.5) (- (* 0.5 t) (* (* (/ t 0.5) (/ t 0.5)) 0.03125))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p)
24.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
8.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
75.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (+ (log 0.5) (- (* 0.5 t) (* (* (/ t 0.5) (/ t 0.5)) 0.03125))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series747.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p)
99.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
76.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
468.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (+ (log 0.5) (- (* 0.5 t) (* (* (/ t 0.5) (/ t 0.5)) 0.03125))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2949
1	764
0	302

prune825.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

regimes871.0ms

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	40
1	40
0	30

end0.0ms

sample1.9m

Algorithm

intervals

Results

1.9m	8880×	body	10240	exit
339.0ms	9565×	pre	80	true
75.0ms	672×	body	80	valid
6.0ms	3×	body	1280	valid
3.0ms	3×	body	640	valid
2.0ms	6×	body	160	valid
1.0ms	1×	body	320	valid