Details

sample51.2s

Algorithm

intervals

Results

50.6s	3219×	body	10240	exit
219.0ms	3475×	pre	80	true
66.0ms	243×	body	80	valid
20.0ms	1×	body	5120	valid
10.0ms	4×	body	1280	valid
4.0ms	3×	body	640	valid
2.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
3	744
2	143
1	53
0	22

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) 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)))

rewrite215.0ms

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 (- s)))))
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
133.0ms	(/ (* (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)))

series823.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
623.0ms	(/ (* (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)))

simplify2.3s

Counts

344 → 344

Iterations

Iter	Nodes
done	5035
2	3913
1	1424
0	477

prune914.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize83.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
0.5b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
2.7b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.6b	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n (* c_p (log (/ 1.0 (+ 1.0 (exp (- t))))))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
42×	`log-prod`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
25×	`times-frac`
11×	`add-exp-log`
9×	`prod-diff`
7×	`pow1`
6×	`distribute-lft-out` `add-log-exp`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `associate-/r/` `log1p-expm1-u`
3×	`fma-neg` `log-pow` `difference-of-squares`
2×	`flip3-+` `flip3--` `div-exp` `flip-+` `fma-udef` `div-inv` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate--l+` `associate--r+`

Counts

4 → 111

Calls

4 calls:

32.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
5.0ms	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n (* c_p (log (/ 1.0 (+ 1.0 (exp (- t))))))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
75.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
75.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
401.0ms	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n (* c_p (log (/ 1.0 (+ 1.0 (exp (- t))))))))

simplify1.9s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
3	4715
2	1536
1	661
0	317

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize133.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
0.5b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
2.7b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.6b	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (- (log 0.5) (fma (* (/ t 0.5) (/ t 0.5)) 0.03125 (* t 0.5))) c_n (* c_p (log (/ 1.0 (+ 1.0 (exp (- t))))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

10.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
11.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
11.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
8.0ms	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (- (log 0.5) (fma (* (/ t 0.5) (/ t 0.5)) 0.03125 (* t 0.5))) c_n (* c_p (log (/ 1.0 (+ 1.0 (exp (- t))))))))

series841.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
75.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
75.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
556.0ms	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (- (log 0.5) (fma (* (/ t 0.5) (/ t 0.5)) 0.03125 (* t 0.5))) c_n (* c_p (log (/ 1.0 (+ 1.0 (exp (- t))))))))

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5003
2	1568
1	655
0	309

prune971.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

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

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes433.0ms

bsearch3.7s

Steps

Iters	Range		Point
7	-1633.4135693106575	-54.23239259073968	-126.54595203432804

simplify10.0ms

Iterations

Iter	Nodes
done	53
1	53
0	45

end0.0ms

sample8.9m

Algorithm

intervals

Results

8.7m	41007×	body	10240	exit
3.5s	44204×	pre	80	true
459.0ms	3078×	body	80	valid
117.0ms	9×	body	5120	valid
72.0ms	24×	body	1280	valid
37.0ms	41×	body	160	valid
18.0ms	6×	body	2560	valid
17.0ms	18×	body	640	valid
9.0ms	20×	body	320	valid