Details

sample42.5s

Algorithm

intervals

Results

42.1s	2872×	body	10240	exit
133.0ms	3128×	pre	80	true
29.0ms	247×	body	80	valid
19.0ms	1×	body	5120	valid
4.0ms	1×	body	2560	valid
3.0ms	2×	body	1280	valid
3.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify293.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.9b	(/ (* (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)))

rewrite263.0ms

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

Counts

4 → 267

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) 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)))

series858.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) 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)))

simplify891.0ms

Counts: 279 → 279

prune473.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

19.0ms	(* 0.5 (* s c_n))
15.0ms	(* 0.5 (* s c_p))

series41.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* 0.5 (* s c_n))
21.0ms	(* 0.5 (* s c_p))

simplify962.0ms

Counts: 42 → 42

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))
2.1b	(log (exp (* 0.5 (* s c_n))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`log-prod` `log-pow`
2×	`associate-r` `*-commutative`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

3 → 50

Calls

3 calls:

15.0ms	(* 0.5 (* s c_n))
15.0ms	(* 0.5 (* s c_p))
4.0ms	(log (exp (* 0.5 (* s c_n))))

series65.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 0.5 (* s c_n))
20.0ms	(* 0.5 (* s c_p))
25.0ms	(log (exp (* 0.5 (* s c_n))))

simplify1.0s

Counts: 59 → 59

prune123.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
88×	`prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`unpow-prod-down` `add-cbrt-cube`
15×	`add-cube-cbrt`
14×	`times-frac`
7×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-/r/`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
2×	`associate-r/` `associate-l/` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

19.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
164.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

102.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
48.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
787.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify1.3s

Counts: 153 → 153

prune478.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

regimes315.0ms

bsearch1.0ms

simplify313.0ms

end0.0ms

sample1.5m

Algorithm

intervals

Results

1.5m	6965×	body	10240	exit
545.0ms	7501×	pre	80	true
81.0ms	516×	body	80	valid
18.0ms	1×	body	5120	valid
5.0ms	2×	body	2560	valid
3.0ms	4×	body	640	valid
3.0ms	2×	body	1280	valid
2.0ms	7×	body	160	valid
2.0ms	4×	body	320	valid