Details

sample54.1s

Algorithm

intervals

Results

53.6s	3409×	body	10240	exit
210.0ms	3666×	pre	80	true
81.0ms	246×	body	80	valid
13.0ms	4×	body	1280	valid
3.0ms	7×	body	160	valid

simplify796.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ 1 (exp (- s)))))
0.7b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
2.2b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
4.4b	(/ (* (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)))

rewrite212.0ms

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`
103×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
65×	`times-frac` `add-cube-cbrt`
54×	`prod-diff`
36×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`distribute-lft-out`
10×	`associate-/r/`
8×	`pow1`
7×	`div-inv`
6×	`pow-unpow` `pow-pow` `add-log-exp` `difference-of-squares`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`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 → 541

Calls

4 calls:

33.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
12.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
139.0ms	(/ (* (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)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
56.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
57.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
517.0ms	(/ (* (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)))

simplify1.1s

Counts

553 → 553

Iterations

Iter	Nodes
done	2016
2	2016
1	1508
0	555

prune7.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.4b	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
1.0b	(log (/ 1 (+ 1 (exp (- s)))))
2.2b	(log (/ 1 (+ 1 (exp (- t)))))
8.3b	(- (+ (* (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)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
47×	`log-prod`
41×	`add-sqr-sqrt`
28×	`times-frac` `add-cube-cbrt`
16×	`add-log-exp`
15×	`add-exp-log`
9×	`pow1` `rem-log-exp` `prod-diff`
7×	`log-pow` `difference-of-squares`
6×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `log-div` `sum-log` `add-cbrt-cube` `diff-log` `div-exp` `associate-/r/` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `div-inv` `distribute-lft-out--`
2×	`rec-exp` `sub-neg` `log1p-def` `flip3--` `1-exp` `log-rec` `pow-flip` `flip--` `inv-pow`
1×	`associate--l+` `associate--r+`

Counts

4 → 139

Calls

4 calls:

32.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
7.0ms	(log (/ 1 (+ 1 (exp (- s)))))
6.0ms	(log (/ 1 (+ 1 (exp (- t)))))
59.0ms	(- (+ (* (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)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
57.0ms	(log (/ 1 (+ 1 (exp (- s)))))
54.0ms	(log (/ 1 (+ 1 (exp (- t)))))
308.0ms	(- (+ (* (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)))

simplify870.0ms

Counts

151 → 151

Iterations

Iter	Nodes
done	2003
2	2003
1	910
0	362

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ 1 (exp (- s)))))
0.4b	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
1.0b	(log (/ 1 (+ 1 (exp (- s)))))
8.3b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma 1/2 t (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
63×	`prod-diff` `add-cube-cbrt`
56×	`times-frac`
29×	`log-prod`
18×	`add-log-exp`
13×	`difference-of-squares`
12×	`distribute-lft-out`
10×	`add-exp-log`
8×	`flip3-+` `associate-/r/` `flip-+`
7×	`pow1`
6×	`fma-neg` `div-inv`
5×	`diff-log` `rem-log-exp` `distribute-lft-out--`
4×	`expm1-log1p-u` `sum-log` `add-cbrt-cube` `log-pow` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`log-div` `sub-neg` `flip3--` `flip--`
2×	`log1p-def` `div-exp`
1×	`rec-exp` `1-exp` `log-rec` `associate--l+` `pow-flip` `associate--r+` `inv-pow`

Counts

4 → 182

Calls

4 calls:

32.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
32.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
7.0ms	(log (/ 1 (+ 1 (exp (- s)))))
57.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma 1/2 t (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
63.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
57.0ms	(log (/ 1 (+ 1 (exp (- s)))))
379.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma 1/2 t (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.0s

Counts

194 → 194

Iterations

Iter	Nodes
done	2002
2	2002
1	1152
0	443

prune3.6s

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

regimes323.0ms

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	44
1	44
0	33

end0.0ms

sample2.0m

Algorithm

intervals

Results

1.9m	8703×	body	10240	exit
641.0ms	9368×	pre	80	true
186.0ms	642×	body	80	valid
16.0ms	7×	body	1280	valid
8.0ms	1×	body	2560	valid
5.0ms	11×	body	160	valid
2.0ms	2×	body	640	valid
1.0ms	2×	body	320	valid