Details

sample39.8s

Algorithm

intervals

Results

39.5s	3237×	body	10240	exit
83.0ms	3493×	pre	80	true
21.0ms	249×	body	80	valid
2.0ms	6×	body	160	valid
1.0ms	1×	body	640	valid

simplify238.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	735	43
done	5000	43

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.7b	(/ (* (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)))

rewrite144.0ms

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:

16.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
91.0ms	(/ (* (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)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
69.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
65.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
578.0ms	(/ (* (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)))

simplify1.1s

Counts

279 → 279

Iterations

Useful iterations: 2 (317.0ms)

Iter	Nodes	Cost
0	360	10772
1	984	9979
2	2973	9629
done	5000	9629

prune430.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 36

Calls

2 calls:

5.0ms	(* 0.5 (* s c_n))
5.0ms	(* 0.5 (* s c_p))

series37.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* 0.5 (* s c_n))
19.0ms	(* 0.5 (* s c_p))

simplify2.1s

Counts

42 → 42

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	59	308
1	153	302
2	536	242
3	1782	242
4	3851	242
done	5000	242

prune76.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
27.4b	(cbrt (* 0.5 (* s c_n)))
27.4b	(cbrt (* 0.5 (* s c_n)))
27.4b	(cbrt (* 0.5 (* s c_n)))

rewrite20.0ms

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:

7.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
88.0ms	(cbrt (* 0.5 (* s c_n)))
86.0ms	(cbrt (* 0.5 (* s c_n)))
87.0ms	(cbrt (* 0.5 (* s c_n)))

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	86	856
1	207	766
2	655	670
3	2736	594
done	5000	586

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
3.4b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 t)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
88×	`prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`unpow-prod-down` `add-cbrt-cube`
15×	`add-cube-cbrt`
14×	`times-frac`
7×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-/r/`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
2×	`associate-r/` `associate-l/` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

16.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
8.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
79.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 t)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series906.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
99.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
64.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
697.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 t)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify1.3s

Counts

153 → 153

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	331	5183
1	927	4833
2	3787	4437
done	5001	4436

prune444.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.7b

regimes244.0ms

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	170
1	60	170
done	60	170

end0.0ms

sample9.2m

Algorithm

intervals

Results

9.1m	44640×	body	10240	exit
932.0ms	48183×	pre	80	true
289.0ms	3437×	body	80	valid
46.0ms	6×	body	5120	valid
40.0ms	23×	body	1280	valid
22.0ms	6×	body	2560	valid
18.0ms	23×	body	640	valid
11.0ms	39×	body	160	valid
3.0ms	8×	body	320	valid