Details

sample49.6s

Algorithm

intervals

Results

49.2s	3129×	body	10240	exit
181.0ms	3385×	pre	80	true
53.0ms	250×	body	80	valid
4.0ms	3×	body	640	valid
3.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid

simplify901.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2041
4	2041
3	743
2	143
1	54
0	22

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (/ 1 (+ 1 (exp (- s)))))
0.2b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.2b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
2.2b	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`add-exp-log`
692×	`pow-exp`
684×	`prod-exp`
593×	`div-exp`
344×	`pow-to-exp`
116×	`rec-exp` `1-exp`
42×	`*-un-lft-identity`
36×	`unpow-prod-down`
33×	`add-sqr-sqrt`
29×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
8×	`pow1`
6×	`pow-unpow` `pow-pow` `distribute-lft-out` `add-log-exp` `difference-of-squares`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `insert-posit16` `div-inv`
2×	`flip3-+` `flip-+` `pow-flip` `distribute-lft-out--` `inv-pow` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l`

Counts

4 → 476

Calls

4 calls:

26.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
13.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
131.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
58.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
55.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
528.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

simplify1.0s

Counts

488 → 488

Iterations

Iter	Nodes
done	2014
2	2014
1	1461
0	451

prune766.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
0.3b	(log (/ 1 (+ 1 (exp (- s)))))
1.2b	(log (/ 1 (+ 1 (exp (- t)))))
7.3b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod` `*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-exp-log` `add-log-exp`
12×	`pow1`
9×	`log-pow`
8×	`rem-log-exp`
6×	`flip3-+` `add-cbrt-cube` `associate-l` `flip-+` `distribute-lft-out`
4×	`sum-log` `diff-log` `div-exp` `associate-/r/` `frac-sub` `insert-posit16`
3×	`associate-r` `log-rec` `pow-flip` `inv-pow`
2×	`log-div` `rec-exp` `1-exp` `div-inv`
1×	`distribute-lft-neg-out` `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 → 117

Calls

4 calls:

7.0ms	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
6.0ms	(log (/ 1 (+ 1 (exp (- t)))))
46.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
57.0ms	(log (/ 1 (+ 1 (exp (- s)))))
57.0ms	(log (/ 1 (+ 1 (exp (- t)))))
304.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify907.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	2003
2	2003
1	769
0	306

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
0.2b	(* (+ (log 1/2) (- (* t 1/2) (* 1/8 (* t t)))) c_p)
0.3b	(log (/ 1 (+ 1 (exp (- s)))))
7.3b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (log 1/2) (- (* t 1/2) (* 1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt` `add-log-exp`
13×	`pow1` `add-exp-log`
12×	`times-frac`
11×	`associate-l`
8×	`add-cbrt-cube`
7×	`log-pow`
6×	`flip3-+` `associate-r` `flip-+`
5×	`distribute-lft-out`
4×	`sum-log` `diff-log` `rem-log-exp` `frac-sub` `insert-posit16`
2×	`div-exp` `log-rec` `pow-prod-down` `associate-l/` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `log-div` `rec-exp` `sub-neg` `flip3--` `1-exp` `associate--l+` `div-inv` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

7.0ms	(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
38.0ms	(* (+ (log 1/2) (- (* t 1/2) (* 1/8 (* t t)))) c_p)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
71.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (log 1/2) (- (* t 1/2) (* 1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
58.0ms	(* (+ (log 1/2) (- (* t 1/2) (* 1/8 (* t t)))) c_p)
53.0ms	(log (/ 1 (+ 1 (exp (- s)))))
367.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (log 1/2) (- (* t 1/2) (* 1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify966.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	2000
2	2000
1	733
0	279

prune808.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 1/2 (* c_n s))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

12.0ms

(* 1/2 (* c_n s))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* 1/2 (* c_n s))

simplify717.0ms

Counts

22 → 22

Iterations

Iter	Nodes
done	2005
4	2005
3	891
2	259
1	89
0	36

prune57.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes260.0ms

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	47
1	47
0	34

end0.0ms

sample3.1m

Algorithm

intervals

Results

3.0m	13531×	body	10240	exit
828.0ms	14542×	pre	80	true
212.0ms	982×	body	80	valid
23.0ms	2×	body	5120	valid
8.0ms	7×	body	640	valid
6.0ms	3×	body	1280	valid
5.0ms	2×	body	2560	valid
5.0ms	12×	body	160	valid
2.0ms	3×	body	320	valid