Details

sample40.9s

Algorithm

intervals

Results

40.6s	3348×	body	10240	exit
62.0ms	3604×	pre	80	true
20.0ms	246×	body	80	valid
2.0ms	5×	body	320	valid
2.0ms	2×	body	640	valid
2.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify547.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.2b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.9b	(/ (* (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)))

rewrite237.0ms

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:

27.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
152.0ms	(/ (* (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)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
69.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
597.0ms	(/ (* (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)))

simplify816.0ms

Counts

279 → 279

Iterations

Useful iterations: 2 (320.0ms)

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

prune419.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

14.0ms	(* 0.5 (* s c_p))
14.0ms	(* 0.5 (* s c_n))

series40.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 0.5 (* s c_p))
21.0ms	(* 0.5 (* s c_n))

simplify3.5s

Counts

42 → 42

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	59	308
1	151	302
2	560	242
3	1896	242
4	3876	242
done	5001	242

prune68.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
25.1b	(cbrt (* 0.5 (* s c_n)))
25.1b	(cbrt (* 0.5 (* s c_n)))
25.1b	(cbrt (* 0.5 (* s c_n)))

rewrite53.0ms

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:

24.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
9.0ms	(cbrt (* 0.5 (* s c_n)))
9.0ms	(cbrt (* 0.5 (* s c_n)))
9.0ms	(cbrt (* 0.5 (* s c_n)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
88.0ms	(cbrt (* 0.5 (* s c_n)))
88.0ms	(cbrt (* 0.5 (* s c_n)))
89.0ms	(cbrt (* 0.5 (* s c_n)))

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	86	856
1	204	766
2	517	670
3	1376	586
4	3949	544
done	5000	509

prune176.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log 0.5) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.0b	(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)))

rewrite225.0ms

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:

7.0ms	(* (log 0.5) c_p)
28.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
165.0ms	(/ (* (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)))

series991.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (log 0.5) c_p)
49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
723.0ms	(/ (* (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 (373.0ms)

Iter	Nodes	Cost
0	316	5198
1	795	4863
2	2825	4458
done	5000	4458

prune403.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

regimes296.0ms

bsearch4.1s

Steps

Iters	Range		Point
7	-3.025124901161407e-85	-3.93582189379848e-87	-1.2746153720116945e-86

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	78
1	58	78
done	58	78

end0.0ms

sample18.3s

Algorithm

intervals

Results

18.2s	1527×	body	10240	exit
25.0ms	1644×	pre	80	true
9.0ms	112×	body	80	valid
6.0ms	1×	body	5120	valid
2.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid