Details

sample45.4s

Algorithm

intervals

Results

45.0s	3326×	body	10240	exit
171.0ms	3582×	pre	80	true
31.0ms	250×	body	80	valid
3.0ms	2×	body	1280	valid
2.0ms	1×	body	640	valid
1.0ms	3×	body	160	valid

simplify596.0ms

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: 5.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.2b	(/ (* (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)))

rewrite232.0ms

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:

34.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
17.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
145.0ms	(/ (* (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)))

series829.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
630.0ms	(/ (* (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)))

simplify466.0ms

Counts

344 → 344

Iterations

Iter	Nodes
done	5000
1	1517
0	477

prune894.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

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

prune20.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (/ 1.0 (+ (exp (- t)) 1.0)))
6.1b	(- (log (pow (- 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)))
7.7b	(log (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))
24.0b	(fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (- (log (pow (- 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))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
36×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
14×	`times-frac`
12×	`unpow-prod-down` `prod-diff`
10×	`associate--l+`
9×	`add-exp-log`
6×	`log-pow`
5×	`pow1` `rem-log-exp` `add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `add-cbrt-cube` `fma-neg` `log1p-expm1-u`
3×	`distribute-lft-out` `distribute-lft-out--`
2×	`associate-/r/` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `log-div` `sub-neg` `flip3-+` `flip3--` `diff-log` `div-exp` `pow-exp` `flip-+` `div-inv` `flip--` `associate--r+`

Counts

4 → 107

Calls

4 calls:

11.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
55.0ms	(- (log (pow (- 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)))
53.0ms	(log (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))
0.0ms	(fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (- (log (pow (- 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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

76.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
403.0ms	(- (log (pow (- 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)))
162.0ms	(log (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))
438.0ms	(fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (- (log (pow (- 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))))

simplify893.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1951
1	612
0	286

prune766.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (/ 1.0 (+ (exp (- t)) 1.0)))
9.3b	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))
9.3b	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))
9.3b	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
27×	`prod-diff`
18×	`log-prod`
12×	`times-frac`
10×	`add-log-exp`
9×	`fma-neg`
7×	`add-exp-log`
6×	`fma-udef`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out` `associate--r+` `distribute-lft-out--` `difference-of-squares`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 121

Calls

4 calls:

12.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
5.0ms	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))
5.0ms	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))
6.0ms	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

76.0ms	(log (/ 1.0 (+ (exp (- t)) 1.0)))
349.0ms	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))
348.0ms	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))
349.0ms	(- (fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (* c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))))) (fma c_p (log (/ 1.0 (+ (exp (- t)) 1.0))) (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))))))

simplify568.0ms

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	1403
1	430
0	209

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes795.0ms

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	54
1	54
0	46

end0.0ms

sample3.1m

Algorithm

intervals

Results

3.1m	14616×	body	10240	exit
679.0ms	15772×	pre	80	true
164.0ms	1117×	body	80	valid
26.0ms	4×	body	320	valid
18.0ms	3×	body	5120	valid
10.0ms	6×	body	1280	valid
8.0ms	9×	body	640	valid
5.0ms	16×	body	160	valid
3.0ms	1×	body	2560	valid