Details

sample47.4s

Algorithm

intervals

Results

46.9s	3329×	body	10240	exit
134.0ms	3585×	pre	80	true
31.0ms	252×	body	80	valid
8.0ms	1×	body	2560	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	valid

simplify517.0ms

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: 4.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.5b	(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)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
36×	`unpow-prod-down` `*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`div-inv`
2×	`pow-pow` `flip3-+` `flip-+` `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 → 267

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
175.0ms	(/ (* (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)))

series831.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
635.0ms	(/ (* (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)))

simplify1.2s

Counts

279 → 279

Iterations

Useful iterations: 2 (508.0ms)

Iter	Nodes	Cost
0	360	10772
1	1192	10366
2	4389	9633
done	5000	9633

prune453.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_p))

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×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

16.0ms

(* 0.5 (* s c_p))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 0.5 (* s c_p))

simplify2.1s

Counts

21 → 21

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	35	154
1	86	151
2	313	121
3	1269	121
done	5001	121

prune44.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* s c_p))) (cbrt (* 0.5 (* s c_p))))
29.0b	(cbrt (* 0.5 (* s c_p)))
29.0b	(cbrt (* 0.5 (* s c_p)))
29.0b	(cbrt (* 0.5 (* s c_p)))

rewrite62.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

26.0ms	(* (cbrt (* 0.5 (* s c_p))) (cbrt (* 0.5 (* s c_p))))
15.0ms	(cbrt (* 0.5 (* s c_p)))
10.0ms	(cbrt (* 0.5 (* s c_p)))
11.0ms	(cbrt (* 0.5 (* s c_p)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (* 0.5 (* s c_p))) (cbrt (* 0.5 (* s c_p))))
94.0ms	(cbrt (* 0.5 (* s c_p)))
94.0ms	(cbrt (* 0.5 (* s c_p)))
95.0ms	(cbrt (* 0.5 (* s c_p)))

simplify451.0ms

Counts

70 → 70

Iterations

Useful iterations: done (449.0ms)

Iter	Nodes	Cost
0	86	856
1	222	766
2	844	670
done	5000	620

prune232.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (* 0.5 (* s c_p))) (* 2 3))
29.0b	(cbrt (* 0.5 (* s c_p)))
29.0b	(cbrt (* 0.5 (* s c_p)))
44.8b	(pow (pow (cbrt (* 0.5 (* s c_p))) (* 2 3)) 1/3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`unpow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
5×	`pow1` `pow-exp`
4×	`cbrt-prod` `pow-unpow` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 60

Calls

4 calls:

6.0ms	(pow (cbrt (* 0.5 (* s c_p))) (* 2 3))
11.0ms	(cbrt (* 0.5 (* s c_p)))
10.0ms	(cbrt (* 0.5 (* s c_p)))
9.0ms	(pow (pow (cbrt (* 0.5 (* s c_p))) (* 2 3)) 1/3)

series558.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(pow (cbrt (* 0.5 (* s c_p))) (* 2 3))
95.0ms	(cbrt (* 0.5 (* s c_p)))
95.0ms	(cbrt (* 0.5 (* s c_p)))
219.0ms	(pow (pow (cbrt (* 0.5 (* s c_p))) (* 2 3)) 1/3)

simplify4.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (830.0ms)

Iter	Nodes	Cost
0	105	1043
1	303	812
2	961	749
3	4923	686
done	5000	686

prune255.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

regimes377.0ms

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	32
1	28	32
done	28	32

end0.0ms

sample9.0m

Algorithm

intervals

Results

8.9m	41308×	body	10240	exit
951.0ms	44481×	pre	80	true
588.0ms	3057×	body	80	valid
45.0ms	24×	body	1280	valid
25.0ms	31×	body	640	valid
21.0ms	3×	body	5120	valid
12.0ms	42×	body	160	valid
10.0ms	3×	body	2560	valid
6.0ms	12×	body	320	valid