Details

sample51.0s

Algorithm

intervals

Results

50.4s	3279×	body	10240	exit
272.0ms	3535×	pre	80	true
31.0ms	244×	body	80	valid
16.0ms	2×	body	5120	valid
3.0ms	1×	body	2560	valid
2.0ms	2×	body	640	valid
2.0ms	4×	body	160	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid

simplify595.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	847
2	147
1	53
0	22

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.7b	(/ (* (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)))

rewrite206.0ms

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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 267

Calls

4 calls:

25.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
135.0ms	(/ (* (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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
72.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
72.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
865.0ms	(/ (* (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)))

simplify964.0ms

Counts

279 → 279

Iterations

Iter	Nodes
done	5000
2	4332
1	1202
0	366

prune661.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* s c_n) 0.5)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

13.0ms

(* (* s c_n) 0.5)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* (* s c_n) 0.5)

simplify299.0ms

Counts

21 → 21

Iterations

Iter	Nodes
done	5001
2	604
1	103
0	40

prune99.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b	(* c_p (+ (* 0.5 t) (log 0.5)))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite203.0ms

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-l/` `associate-r/` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `sub-neg` `pow-pow` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `pow-prod-down` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

25.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
20.0ms	(* c_p (+ (* 0.5 t) (log 0.5)))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
137.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series970.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
104.0ms	(* c_p (+ (* 0.5 t) (log 0.5)))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
740.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify340.0ms

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
1	1048
0	335

prune701.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b	(* c_p (log 0.5))
0.2b	(* c_p (+ (* 0.5 t) (log 0.5)))
1.2b	(/ (* (+ (+ 1 (* (* s c_p) 0.5)) (* c_p (log 0.5))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

27.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
7.0ms	(* c_p (log 0.5))
21.0ms	(* c_p (+ (* 0.5 t) (log 0.5)))
138.0ms	(/ (* (+ (+ 1 (* (* s c_p) 0.5)) (* c_p (log 0.5))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
171.0ms	(* c_p (log 0.5))
108.0ms	(* c_p (+ (* 0.5 t) (log 0.5)))
719.0ms	(/ (* (+ (+ 1 (* (* s c_p) 0.5)) (* c_p (log 0.5))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify1.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	4106
1	820
0	277

prune600.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes453.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	11

end0.0ms

sample5.4m

Algorithm

intervals

Results

5.3m	24418×	body	10240	exit
1.8s	26323×	pre	80	true
272.0ms	1839×	body	80	valid
66.0ms	5×	body	5120	valid
26.0ms	14×	body	1280	valid
11.0ms	13×	body	640	valid
7.0ms	24×	body	160	valid
4.0ms	2×	body	2560	valid
3.0ms	8×	body	320	valid