Details

sample47.6s

Algorithm

intervals

Results

47.2s	3037×	body	10240	exit
91.0ms	3294×	pre	80	true
34.0ms	252×	body	80	valid
3.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify628.0ms

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: 4.8b

localize28.0ms

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)
0.7b	(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)))

rewrite265.0ms

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:

29.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
19.0ms	(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)))

series847.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
646.0ms	(/ (* (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)))

simplify904.0ms

Counts

279 → 279

Iterations

Useful iterations: 2 (350.0ms)

Iter	Nodes	Cost
0	360	10772
1	844	9979
2	2360	9633
done	5000	9633

prune469.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

15.0ms	(* 0.5 (* s c_n))
15.0ms	(* 0.5 (* s c_p))

series45.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* 0.5 (* s c_n))
25.0ms	(* 0.5 (* s c_p))

simplify4.1s

Counts

42 → 42

Iterations

Useful iterations: 2 (68.0ms)

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

prune74.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize41.0ms

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

rewrite250.0ms

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:

30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
8.0ms	(* (log 0.5) c_p)
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
185.0ms	(/ (* (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 (- s)))))
174.0ms	(* (log 0.5) c_p)
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
775.0ms	(/ (* (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)))

simplify1.1s

Counts

150 → 150

Iterations

Useful iterations: 2 (414.0ms)

Iter	Nodes	Cost
0	313	5198
1	794	4863
2	2848	4452
done	5000	4452

prune477.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.0b

localize40.0ms

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)
0.2b	(* (log 0.5) c_p)
1.9b	(/ (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* s c_p)) 1)) (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)))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log`
26×	`prod-exp`
20×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`div-exp`
10×	`pow1` `*-un-lft-identity`
8×	`pow-to-exp` `add-cube-cbrt` `associate-l` `pow-exp`
6×	`associate-r` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `associate-*l/`
2×	`flip3-+` `times-frac` `pow-prod-down` `associate-/r/` `log-pow` `*-commutative` `flip-+` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 90

Calls

4 calls:

36.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
8.0ms	(* (log 0.5) c_p)
8.0ms	(* (log 0.5) c_p)
203.0ms	(/ (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* s c_p)) 1)) (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)))

series1.2s

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
178.0ms	(* (log 0.5) c_p)
177.0ms	(* (log 0.5) c_p)
822.0ms	(/ (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* s c_p)) 1)) (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)))

simplify938.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (309.0ms)

Iter	Nodes	Cost
0	226	3188
1	635	3012
2	2629	2392
done	5000	2392

prune426.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.0b

regimes553.0ms

bsearch18.7s

Steps

Iters	Range		Point
7	7.355739963951051e-32	2.9354910642990618e-30	2.348046779649347e-31
12	-2.629593170976357e+50	-2256.21797454511	-531421872.05187196

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

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

end0.0ms

sample7.8m

Algorithm

intervals

Results

7.7m	36253×	body	10240	exit
2.8s	39186×	pre	80	true
382.0ms	2835×	body	80	valid
41.0ms	24×	body	1280	valid
30.0ms	8×	body	2560	valid
28.0ms	4×	body	5120	valid
19.0ms	19×	body	640	valid
10.0ms	33×	body	160	valid
5.0ms	10×	body	320	valid