Details

sample46.9s

Algorithm

intervals

Results

46.5s	3021×	body	10240	exit
174.0ms	3277×	pre	80	true
71.0ms	248×	body	80	valid
6.0ms	3×	body	1280	valid
6.0ms	2×	body	2560	valid
2.0ms	1×	body	640	valid
1.0ms	2×	body	320	valid

simplify780.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1 (/ 1 (+ 1 (exp (- t)))))
1.2b	(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)))

rewrite215.0ms

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

series655.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
55.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
56.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
516.0ms	(/ (* (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)))

simplify867.0ms

Counts

553 → 553

Iterations

Iter	Nodes
done	2000
1	1508
0	555

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
1.3b	(log (/ 1 (+ 1 (exp (- s)))))
1.3b	(log (/ 1 (+ 1 (exp (- t)))))
8.6b	(- (+ (* (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)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
36×	`log-prod`
33×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
24×	`times-frac`
16×	`add-exp-log` `add-log-exp`
11×	`pow1`
9×	`prod-diff`
8×	`rem-log-exp`
7×	`log-pow`
6×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `sum-log` `diff-log` `div-exp` `associate-l` `associate-/r/` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `associate-r`
2×	`log-div` `rec-exp` `1-exp` `log-rec` `div-inv` `pow-flip` `inv-pow`
1×	`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 → 134

Calls

4 calls:

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

series483.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
53.0ms	(log (/ 1 (+ 1 (exp (- s)))))
53.0ms	(log (/ 1 (+ 1 (exp (- t)))))
299.0ms	(- (+ (* (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)))

simplify602.0ms

Counts

146 → 146

Iterations

Iter	Nodes
done	2002
1	864
0	342

prune888.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
1.3b	(log (/ 1 (+ 1 (exp (- s)))))
8.6b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (- (fma 1/2 t (log 1/2)) (* 1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`log-prod`
16×	`add-log-exp`
13×	`add-exp-log`
12×	`pow1` `times-frac`
9×	`prod-diff`
8×	`add-cbrt-cube` `associate-l`
6×	`associate-r`
5×	`flip3-+` `log-pow` `flip-+`
4×	`expm1-log1p-u` `sum-log` `diff-log` `rem-log-exp` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `distribute-lft-out`
2×	`div-exp` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`log-div` `rec-exp` `sub-neg` `flip3--` `1-exp` `log-rec` `associate--l+` `div-inv` `pow-flip` `flip--` `associate--r+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

7.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
7.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
67.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (- (fma 1/2 t (log 1/2)) (* 1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series584.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
80.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
55.0ms	(log (/ 1 (+ 1 (exp (- s)))))
369.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (- (fma 1/2 t (log 1/2)) (* 1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify740.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	2004
1	800
0	308

prune952.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes253.0ms

bsearch1.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	61
1	61
0	44

end0.0ms

sample8.6m

Algorithm

intervals

Results

8.5m	37996×	body	10240	exit
2.0s	41001×	pre	80	true
566.0ms	2909×	body	80	valid
80.0ms	7×	body	5120	valid
43.0ms	20×	body	1280	valid
20.0ms	18×	body	640	valid
18.0ms	6×	body	2560	valid
16.0ms	36×	body	160	valid
6.0ms	9×	body	320	valid