Details

sample51.5s

Algorithm

intervals

Results

50.7s	3540×	body	10240	exit
535.0ms	3796×	pre	80	true
29.0ms	246×	body	80	valid
5.0ms	3×	body	1280	valid
3.0ms	1×	body	2560	valid
2.0ms	2×	body	640	valid
2.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.9b	(/ (* (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)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

557×	`add-exp-log`
312×	`prod-exp`
265×	`pow-exp`
249×	`div-exp`
185×	`pow-to-exp`
42×	`unpow-prod-down`
38×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-cbrt-cube`
9×	`pow-unpow`
7×	`pow1`
6×	`distribute-lft-out`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `div-inv` `sqr-pow`
2×	`flip3-+` `flip-+` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `distribute-lft-out--`

Counts

4 → 280

Calls

4 calls:

52.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
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)))

series904.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
83.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
636.0ms	(/ (* (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)))

simplify2.6s

Counts

292 → 292

Iterations

Iter	Nodes
done	5010
2	3118
1	1178
0	378

prune861.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
0.0b	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
1.2b	(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)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-exp-log`
87×	`prod-exp`
66×	`div-exp`
56×	`pow-exp`
43×	`pow-to-exp`
40×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
24×	`unpow-prod-down` `add-cube-cbrt`
18×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`pow1` `pow-unpow`
5×	`cbrt-undiv` `associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`div-inv`
2×	`clear-num` `pow-pow` `frac-2neg` `flip3-+` `flip-+` `difference-of-squares` `sqr-pow`
1×	`distribute-lft-out--`

Counts

4 → 163

Calls

4 calls:

15.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
50.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
17.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
135.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series967.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
94.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
769.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify2.3s

Counts

175 → 175

Iterations

Iter	Nodes
done	5024
2	3392
1	983
0	320

prune976.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log 0.5) c_n 1)
0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
11×	`add-exp-log` `distribute-lft-out`
8×	`associate-/r*` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3-+` `div-exp` `flip-+` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `pow-exp`
1×	`pow-to-exp` `pow-pow` `fma-udef` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

0.0ms	(fma (log 0.5) c_n 1)
17.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
14.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
17.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

series373.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(fma (log 0.5) c_n 1)
28.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
28.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
77.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

simplify1.8s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
3	3941
2	1151
1	438
0	154

prune916.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
0.0b	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
1.2b	(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)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n))))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

552×	`add-exp-log`
379×	`prod-exp`
192×	`pow-exp`
177×	`div-exp`
158×	`pow-to-exp`
36×	`unpow-prod-down`
29×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
19×	`add-cube-cbrt`
15×	`times-frac`
12×	`sqrt-prod`
9×	`pow1` `pow-unpow` `cbrt-unprod`
7×	`pow-pow`
6×	`cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`distribute-lft-out` `sqr-pow`
2×	`sqrt-pow1` `pow1/2` `associate-/r/` `div-inv` `sqrt-pow2` `distribute-lft-out--`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3-+` `flip-+` `associate-/l`

Counts

4 → 255

Calls

4 calls:

50.0ms	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
51.0ms	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
385.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n))))

series1.2s

Counts

4 → 12

Calls

4 calls:

150.0ms	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
156.0ms	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
835.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n))))

simplify2.5s

Counts

267 → 267

Iterations

Iter	Nodes
done	5163
2	3552
1	1068
0	353

prune982.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes895.0ms

bsearch2.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	67
1	67
0	55

end0.0ms

sample6.6m

Algorithm

intervals

Results

6.5m	30071×	body	10240	exit
2.1s	32421×	pre	80	true
269.0ms	2274×	body	80	valid
26.0ms	4×	body	5120	valid
22.0ms	12×	body	1280	valid
19.0ms	23×	body	640	valid
17.0ms	7×	body	2560	valid
7.0ms	25×	body	160	valid
2.0ms	5×	body	320	valid