Details

sample49.0s

Algorithm

intervals

Results

48.6s	3279×	body	10240	exit
126.0ms	3535×	pre	80	true
31.0ms	244×	body	80	valid
16.0ms	2×	body	5120	valid
3.0ms	1×	body	2560	valid
2.0ms	2×	body	640	valid
2.0ms	4×	body	160	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid

simplify628.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	847
2	147
1	53
0	22

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
97×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
62×	`times-frac`
54×	`prod-diff`
36×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`distribute-lft-out`
10×	`associate-/r/`
6×	`pow1` `pow-unpow` `div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-pow` `difference-of-squares` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 332

Calls

4 calls:

32.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
137.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series794.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
603.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify463.0ms

Counts

344 → 344

Iterations

Iter	Nodes
done	5000
1	1517
0	477

prune949.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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

prune25.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (/ 1.0 (+ (exp (- t)) 1.0)))
1.0b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
7.9b	(- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n)))
28.5b	(fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
33×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log`
6×	`pow1` `distribute-lft-out` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `associate-/r/` `log1p-expm1-u`
3×	`prod-diff`
2×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `fma-udef` `div-inv`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `associate--r+`

Counts

4 → 91

Calls

4 calls:

11.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
7.0ms	(- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n)))
0.0ms	(fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n))))

series866.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
69.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
336.0ms	(- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n)))
387.0ms	(fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n))))

simplify987.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1983
1	614
0	285

prune739.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))))
0.8b	(log (/ 1.0 (+ (exp (- t)) 1.0)))
7.9b	(- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n)))
28.5b	(fma (fma s 0.5 (- (log 0.5) (* (/ 0.03125 0.5) (/ (pow s 2) 0.5)))) c_p (- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`times-frac`
8×	`add-exp-log`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`log-div` `rem-log-exp` `prod-diff` `distribute-lft-out`
2×	`flip3--` `associate-/r/` `log-pow` `fma-udef` `flip--` `difference-of-squares`
1×	`sub-neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `flip-+` `div-inv` `associate--r+` `distribute-lft-out--`

Counts

4 → 79

Calls

4 calls:

32.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))))
11.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
10.0ms	(- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n)))
0.0ms	(fma (fma s 0.5 (- (log 0.5) (* (/ 0.03125 0.5) (/ (pow s 2) 0.5)))) c_p (- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))))
72.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
336.0ms	(- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n)))
247.0ms	(fma (fma s 0.5 (- (log 0.5) (* (/ 0.03125 0.5) (/ (pow s 2) 0.5)))) c_p (- (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))) c_n))))

simplify697.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1855
1	568
0	265

prune760.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes466.0ms

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	39
1	39
0	34

end0.0ms

sample5.2m

Algorithm

intervals

Results

5.2m	24418×	body	10240	exit
1.1s	26323×	pre	80	true
258.0ms	1839×	body	80	valid
89.0ms	5×	body	5120	valid
26.0ms	14×	body	1280	valid
11.0ms	13×	body	640	valid
7.0ms	24×	body	160	valid
4.0ms	2×	body	2560	valid
3.0ms	8×	body	320	valid