Details

sample45.4s

Algorithm

intervals

Results

45.0s	3676×	body	10240	exit
76.0ms	3932×	pre	80	true
22.0ms	248×	body	80	valid
5.0ms	1×	body	5120	valid
2.0ms	1×	body	1280	valid
2.0ms	1×	body	2560	valid
1.0ms	5×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	25
1	147	25
2	850	25
3	5001	25
done	5001	25

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
0.5b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
4.2b	(/ (* (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)))

rewrite263.0ms

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:

18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
39.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
162.0ms	(/ (* (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)))

series801.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
613.0ms	(/ (* (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)))

simplify130.0ms

Counts

344 → 344

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1281	8124
1	4389	7090
2	5001	7090
done	5001	7090

prune613.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite16.0ms

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:

15.0ms

(* 0.5 (* s c_n))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 0.5 (* s c_n))

simplify71.0ms

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	77
1	320	62
2	1234	62
3	3438	62
4	5002	62
done	5002	62

prune53.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.1b	(expm1 (log1p (* 0.5 (* s c_n))))
0.2b	(log1p (* 0.5 (* s c_n)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

15.0ms	(* 0.5 (* s c_n))
0.0ms	(expm1 (log1p (* 0.5 (* s c_n))))
0.0ms	(log1p (* 0.5 (* s c_n)))

series354.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 0.5 (* s c_n))
236.0ms	(expm1 (log1p (* 0.5 (* s c_n))))
100.0ms	(log1p (* 0.5 (* s c_n)))

simplify29.0ms

Counts

51 → 51

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	265	250
1	1006	219
2	5001	209
done	5001	209

prune141.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
29.2b	(cbrt (* 0.5 (* s c_n)))
29.2b	(cbrt (* 0.5 (* s c_n)))
29.2b	(cbrt (* 0.5 (* s c_n)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

24.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
10.0ms	(cbrt (* 0.5 (* s c_n)))
13.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
90.0ms	(cbrt (* 0.5 (* s c_n)))
90.0ms	(cbrt (* 0.5 (* s c_n)))
89.0ms	(cbrt (* 0.5 (* s c_n)))

simplify94.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	212	478
1	738	427
2	3536	370
3	5002	365
done	5002	365

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

regimes319.0ms

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	16
1	21	16
done	21	16

end0.0ms

sample1.1m

Algorithm

intervals

Results

1.1m	5393×	body	10240	exit
98.0ms	5796×	pre	80	true
31.0ms	391×	body	80	valid
5.0ms	1×	body	5120	valid
2.0ms	3×	body	640	valid
2.0ms	1×	body	2560	valid
2.0ms	1×	body	1280	valid
1.0ms	5×	body	160	valid
0.0ms	1×	body	320	valid