Details

sample49.4s

Algorithm

intervals

Results

48.8s	3315×	body	10240	exit
261.0ms	3571×	pre	80	true
43.0ms	1×	body	5120	valid
30.0ms	243×	body	80	valid
12.0ms	6×	body	1280	valid
3.0ms	2×	body	640	valid
1.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid

simplify526.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	847	43
done	5000	43

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize27.0ms

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 (- s)))) c_p)
1.7b	(/ (* (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)))
2.2b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)

rewrite291.0ms

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×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-pow` `difference-of-squares` `sqr-pow`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 332

Calls

4 calls:

42.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
22.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
179.0ms	(/ (* (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)))
26.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)

series841.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
642.0ms	(/ (* (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)))
77.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)

simplify527.0ms

Counts

344 → 344

Iterations

Useful iterations: done (513.0ms)

Iter	Nodes	Cost
0	471	14274
1	1499	13193
done	5001	11961

prune725.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

17.0ms

(* 0.5 (* s c_n))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* 0.5 (* s c_n))

simplify1.9s

Counts

23 → 23

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	37	166
1	87	163
2	305	133
3	1283	133
done	5000	133

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- t))))
0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
99×	`*-un-lft-identity`
87×	`prod-exp`
70×	`add-sqr-sqrt`
66×	`div-exp`
65×	`add-cube-cbrt`
62×	`times-frac`
55×	`pow-exp`
54×	`prod-diff`
42×	`pow-to-exp`
18×	`unpow-prod-down` `add-cbrt-cube`
16×	`distribute-lft-out`
10×	`associate-/r/`
6×	`div-inv` `add-log-exp`
5×	`pow1` `cbrt-undiv` `flip3-+` `associate-/r*` `flip-+`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `associate-/l*`
3×	`pow-unpow` `fma-neg`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-pow` `diff-log` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

4 → 215

Calls

4 calls:

18.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
43.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
163.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series918.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
766.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify484.0ms

Counts

227 → 227

Iterations

Useful iterations: done (475.0ms)

Iter	Nodes	Cost
0	441	8737
1	1312	7992
done	5001	6732

prune841.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.020833333333333336 (pow t 3))
0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (- (fma 0.25 t 0.5) (* 0.020833333333333336 (pow t 3)))) c_n)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

174×	`add-exp-log`
90×	`prod-exp`
86×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
65×	`div-exp`
60×	`add-cube-cbrt`
56×	`pow-exp`
54×	`prod-diff`
50×	`times-frac`
43×	`pow-to-exp`
22×	`unpow-prod-down`
18×	`add-cbrt-cube`
12×	`associate-r` `distribute-lft-out`
8×	`associate-/r/`
6×	`add-log-exp`
5×	`pow1` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `cube-prod` `flip-+` `log1p-expm1-u` `unswap-sqr`
3×	`pow-unpow` `fma-neg` `associate-l` `sqr-pow`
2×	`difference-of-squares`
1×	`cube-mult` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `diff-log` `unpow3` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--`

Counts

4 → 213

Calls

4 calls:

13.0ms	(* 0.020833333333333336 (pow t 3))
42.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
124.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (- (fma 0.25 t 0.5) (* 0.020833333333333336 (pow t 3)))) c_n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 0.020833333333333336 (pow t 3))
49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
842.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (- (fma 0.25 t 0.5) (* 0.020833333333333336 (pow t 3)))) c_n)))

simplify461.0ms

Counts

225 → 225

Iterations

Useful iterations: done (452.0ms)

Iter	Nodes	Cost
0	437	8790
1	1305	8026
done	5001	6727

prune847.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes654.0ms

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: done (11.0ms)

Iter	Nodes	Cost
0	45	133
1	58	122
2	61	76
3	64	76
done	64	75

end0.0ms

sample3.0m

Algorithm

intervals

Results

3.0m	13900×	body	10240	exit
734.0ms	15037×	pre	80	true
141.0ms	1097×	body	80	valid
32.0ms	20×	body	160	valid
11.0ms	4×	body	2560	valid
8.0ms	4×	body	1280	valid
7.0ms	1×	body	5120	valid
4.0ms	6×	body	640	valid
2.0ms	5×	body	320	valid