Details

sample51.4s

Algorithm

intervals

Results

50.7s	3263×	body	10240	exit
353.0ms	253×	body	80	valid
163.0ms	3520×	pre	80	true
2.0ms	4×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	8112
3	742
2	141
1	52
0	22

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ 1 (exp (- t)))))
0.7b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.5b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
3.2b	(/ (* (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)))

rewrite225.0ms

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:

35.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
13.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
14.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
147.0ms	(/ (* (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)))

series667.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
56.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
58.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
525.0ms	(/ (* (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)))

simplify1.6s

Counts

553 → 553

Iterations

Iter	Nodes
2	3330
1	1351
0	555

prune6.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune6.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ 1 (exp (- t)))))
0.7b	(log (/ 1 (+ 1 (exp (- s)))))
1.7b	(log (/ 1 (+ 1 (exp (- t)))))
10.3b	(- (+ (* (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)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
64×	`times-frac`
63×	`prod-diff`
36×	`log-prod`
18×	`add-log-exp`
15×	`distribute-lft-out`
14×	`add-exp-log`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`pow1` `rem-log-exp`
7×	`difference-of-squares`
6×	`fma-neg` `log-pow` `div-inv`
5×	`diff-log`
4×	`expm1-log1p-u` `sum-log` `add-cbrt-cube` `div-exp` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`log-div` `rec-exp` `sub-neg` `flip3--` `1-exp` `log-rec` `pow-flip` `flip--` `inv-pow`
1×	`associate--l+` `associate--r+`

Counts

4 → 192

Calls

4 calls:

35.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
7.0ms	(log (/ 1 (+ 1 (exp (- s)))))
7.0ms	(log (/ 1 (+ 1 (exp (- t)))))
61.0ms	(- (+ (* (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)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
56.0ms	(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)))

simplify1.4s

Counts

204 → 204

Iterations

Iter	Nodes
2	3245
1	1150
0	444

prune3.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes372.0ms

bsearch3.5s

Steps

Iters	Range		Point
5	2.6997130017442587e-144	5.839702157493646e-144	2.7431943211010856e-144

simplify8.0ms

Iterations

Iter	Nodes
2	47
1	47
0	36

end0.0ms

sample3.2m

Algorithm

intervals

Results

3.2m	14378×	body	10240	exit
706.0ms	15484×	pre	80	true
233.0ms	1058×	body	80	valid
47.0ms	3×	body	5120	valid
35.0ms	14×	body	640	valid
10.0ms	21×	body	160	valid
8.0ms	4×	body	1280	valid
5.0ms	5×	body	320	valid
3.0ms	1×	body	2560	valid