Details

sample47.8s

Algorithm

intervals

Results

47.5s	3340×	body	10240	exit
159.0ms	3596×	pre	80	true
29.0ms	241×	body	80	valid
9.0ms	4×	body	1280	valid
3.0ms	9×	body	160	valid
2.0ms	2×	body	640	valid

simplify831.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	839	43
done	5001	43

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.9b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) 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)))

rewrite269.0ms

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:

32.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
178.0ms	(/ (* (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)))

series853.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
653.0ms	(/ (* (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)))

simplify858.0ms

Counts

279 → 279

Iterations

Useful iterations: 2 (335.0ms)

Iter	Nodes	Cost
0	360	10772
1	844	9979
2	2360	9633
done	5001	9633

prune454.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b	(* (log 0.5) c_p)
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.4b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite261.0ms

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`
8×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-l` `associate-/r/`
3×	`pow-unpow` `associate-r` `distribute-lft-out`
2×	`flip3-+` `associate-*l/` `flip-+` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-pow` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `log-pow` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 138

Calls

4 calls:

31.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
8.0ms	(* (log 0.5) c_p)
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
195.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
177.0ms	(* (log 0.5) c_p)
78.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
791.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify1.0s

Counts

150 → 150

Iterations

Useful iterations: 2 (401.0ms)

Iter	Nodes	Cost
0	316	5198
1	795	4863
2	2824	4458
done	5000	4458

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.2b

localize9.0ms

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))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* 0.5 (* s c_p))

simplify5.5s

Counts

21 → 21

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	35	154
1	85	151
2	298	121
3	980	121
4	2143	121
5	4393	121
done	5001	121

prune38.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (* s c_p))
0.0b	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
0.2b	(* (pow (log 0.5) 2) (pow c_p 2))
1.0b	(pow (log 0.5) 2)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
31×	`prod-exp`
28×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`add-cbrt-cube` `unswap-sqr`
15×	`associate-l`
14×	`pow1`
13×	`pow-to-exp` `pow-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow2` `sqr-pow`
10×	`associate-r`
7×	`cbrt-unprod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`log-pow`
1×	`pow-pow`

Counts

4 → 114

Calls

4 calls:

16.0ms	(* 0.5 (* s c_p))
26.0ms	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
24.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
3.0ms	(pow (log 0.5) 2)

series400.0ms

Counts

4 → 10

Calls

4 calls:

20.0ms	(* 0.5 (* s c_p))
204.0ms	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
175.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
0.0ms	(pow (log 0.5) 2)

simplify3.3s

Counts

124 → 124

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	146	1355
1	329	1180
2	1034	983
3	4900	972
done	5001	972

prune219.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.2b

regimes643.0ms

bsearch24.5s

Steps

Iters	Range		Point
7	2.715737396568425e-51	8.209587037198636e-50	3.662699847457078e-50
12	-8.350651902467424e+80	-216722931.06973895	-520594611.85202074

simplify27.0ms

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	41	113
1	60	68
done	60	68

end0.0ms

sample57.7s

Algorithm

intervals

Results

57.3s	4456×	body	10240	exit
160.0ms	4792×	pre	80	true
34.0ms	319×	body	80	valid
7.0ms	4×	body	1280	valid
3.0ms	11×	body	160	valid
2.0ms	2×	body	640	valid