Details

sample49.1s

Algorithm

intervals

Results

48.6s	3129×	body	10240	exit
211.0ms	3385×	pre	80	true
54.0ms	250×	body	80	valid
4.0ms	3×	body	640	valid
3.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid

simplify796.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize43.0ms

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)))

rewrite211.0ms

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:

32.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
12.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
13.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
137.0ms	(/ (* (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)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
54.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
56.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
509.0ms	(/ (* (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

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize59.0ms

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)))

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`
12×	`pow1`
9×	`prod-diff` `log-pow`
8×	`rem-log-exp`
6×	`flip3-+` `add-cbrt-cube` `associate-l` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `sum-log` `diff-log` `div-exp` `associate-/r/` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `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 → 137

Calls

4 calls:

8.0ms	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
6.0ms	(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)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
52.0ms	(log (/ 1 (+ 1 (exp (- s)))))
54.0ms	(log (/ 1 (+ 1 (exp (- t)))))
293.0ms	(- (+ (* (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)))

simplify776.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	2005
2	2005
1	858
0	338

prune897.0ms

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

rewrite93.0ms

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×	`associate-l` `prod-diff`
8×	`add-cbrt-cube`
6×	`associate-r` `log-pow`
5×	`flip3-+` `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×	`flip3--` `div-exp` `log-rec` `pow-prod-down` `associate-l/` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod` `pow-flip` `flip--` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `log-div` `rec-exp` `sub-neg` `1-exp` `associate--l+` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

8.0ms	(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
13.0ms	(* (- (fma t 1/2 (log 1/2)) (* 1/8 (* t t))) c_p)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
64.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (- (fma t 1/2 (log 1/2)) (* 1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series774.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
59.0ms	(* (- (fma t 1/2 (log 1/2)) (* 1/8 (* t t))) c_p)
53.0ms	(log (/ 1 (+ 1 (exp (- s)))))
365.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (- (fma t 1/2 (log 1/2)) (* 1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify858.0ms

Counts

135 → 135

Iterations

Iter	Nodes
done	2001
2	2001
1	820
0	310

prune954.0ms

Pruning

2 alts after pruning (1 fresh and 1 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
done	0
0	0

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes231.0ms

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	44
1	44
0	33

end0.0ms

sample3.1m

Algorithm

intervals

Results

3.0m	13531×	body	10240	exit
582.0ms	14542×	pre	80	true
189.0ms	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