Details

sample59.8s

Algorithm

intervals

Results

59.0s	3410×	body	10240	exit
195.0ms	3667×	pre	80	true
39.0ms	251×	body	80	valid
9.0ms	1×	body	2560	valid
5.0ms	2×	body	1280	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	320	valid

simplify871.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize37.0ms

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)
1.2b	(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)))

rewrite275.0ms

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)))))
22.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
185.0ms	(/ (* (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)))

series916.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
80.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
81.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
701.0ms	(/ (* (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)))

simplify1.5s

Counts

279 → 279

Iterations

Useful iterations: 2 (593.0ms)

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

prune641.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

3 → 50

Calls

3 calls:

111.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
16.0ms	(* 0.5 (* s c_n))
17.0ms	(* 0.5 (* s c_p))

series116.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
26.0ms	(* 0.5 (* s c_n))
23.0ms	(* 0.5 (* s c_p))

simplify718.0ms

Counts

59 → 59

Iterations

Useful iterations: done (716.0ms)

Iter	Nodes	Cost
0	86	635
1	228	610
2	896	534
done	5000	464

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(* (log 0.5) c_p)
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.0b	(/ (* (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)))

rewrite257.0ms

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 (- s)))))
8.0ms	(* (log 0.5) c_p)
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
192.0ms	(/ (* (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:

55.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
182.0ms	(* (log 0.5) c_p)
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
835.0ms	(/ (* (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)))

simplify1.8s

Counts

150 → 150

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	313	5198
1	988	4936
2	4701	4525
done	5000	4453

prune630.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.3b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.9b	(cbrt (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) 3))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.2b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (cbrt (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) 3)) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
42×	`unpow-prod-down`
41×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
27×	`times-frac`
25×	`add-cube-cbrt`
18×	`cbrt-prod`
16×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `cube-prod` `distribute-lft-out`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `add-log-exp` `difference-of-squares`
3×	`div-inv` `sqr-pow`
2×	`cube-div` `cbrt-div` `pow-pow` `flip3-+` `flip-+` `distribute-lft-out--`
1×	`cube-mult` `flip3--` `frac-2neg` `pow1/3` `unpow3` `clear-num` `associate-/r` `flip--` `rem-cbrt-cube` `associate-/l`

Counts

4 → 281

Calls

4 calls:

20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
59.0ms	(cbrt (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) 3))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
244.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (cbrt (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) 3)) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series924.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
55.0ms	(cbrt (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) 3))
84.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
706.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (cbrt (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) 3)) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify507.0ms

Counts

293 → 293

Iterations

Useful iterations: done (495.0ms)

Iter	Nodes	Cost
0	394	11793
1	1304	10648
done	5000	9907

prune712.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.3b

regimes976.0ms

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	64
1	54	64
done	54	64

end0.0ms

sample53.1s

Algorithm

intervals

Results

52.0s	3781×	body	10240	exit
551.0ms	4058×	pre	80	true
32.0ms	269×	body	80	valid
7.0ms	3×	body	1280	valid
6.0ms	1×	body	2560	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	320	valid