Details

sample50.9s

Algorithm

intervals

Results

50.5s	3341×	body	10240	exit
150.0ms	3598×	pre	80	true
35.0ms	251×	body	80	valid
2.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.2b	(/ (* (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)))

rewrite209.0ms

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:

30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
131.0ms	(/ (* (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)))

series797.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
605.0ms	(/ (* (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)))

simplify1.2s

Counts

344 → 344

Iterations

Iter	Nodes
done	5000
1	1517
0	477

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

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

prune15.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (/ 1.0 (+ (exp (- t)) 1.0)))
1.0b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
8.2b	(- (* (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)))
29.4b	(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))))

rewrite26.0ms

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:

10.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
6.0ms	(- (* (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))))

series874.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
70.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
339.0ms	(- (* (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)))
392.0ms	(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))))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1983
1	614
0	285

prune712.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

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: 0.3b

regimes165.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample3.5m

Algorithm

intervals

Results

3.5m	16104×	body	10240	exit
346.0ms	17389×	pre	80	true
132.0ms	1243×	body	80	valid
22.0ms	12×	body	1280	valid
12.0ms	3×	body	2560	valid
8.0ms	1×	body	5120	valid
5.0ms	7×	body	640	valid
4.0ms	16×	body	160	valid
1.0ms	3×	body	320	valid