Details

sample47.6s

Algorithm

intervals

Results

47.1s	3119×	body	10240	exit
284.0ms	3375×	pre	80	true
50.0ms	241×	body	80	valid
19.0ms	7×	body	1280	valid
6.0ms	1×	body	5120	valid
3.0ms	6×	body	160	valid
1.0ms	1×	body	640	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
3	743
2	143
1	54
0	22

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1 (/ 1 (+ 1 (exp (- t)))))
0.2b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
2.5b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
4.9b	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`add-exp-log`
692×	`pow-exp`
684×	`prod-exp`
593×	`div-exp`
344×	`pow-to-exp`
116×	`rec-exp` `1-exp`
42×	`*-un-lft-identity`
36×	`unpow-prod-down`
33×	`add-sqr-sqrt`
29×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
8×	`pow1`
6×	`pow-unpow` `pow-pow` `distribute-lft-out` `add-log-exp` `difference-of-squares`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `insert-posit16` `div-inv`
2×	`flip3-+` `flip-+` `pow-flip` `distribute-lft-out--` `inv-pow` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l`

Counts

4 → 476

Calls

4 calls:

28.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
12.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
14.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
139.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

series736.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
62.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
64.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
577.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

simplify2.0s

Counts

488 → 488

Iterations

Iter	Nodes
done	5011
2	3741
1	1461
0	451

prune744.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
0.3b	(log (+ (exp (- s)) 1))
2.8b	(log (+ 1 (exp (- t))))
8.2b	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (log (+ 1 (exp (- t)))) c_p)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-prod` `diff-log` `add-exp-log` `add-cube-cbrt`
6×	`add-cbrt-cube`
5×	`flip3--` `flip--`
4×	`log-div` `associate-l` `frac-sub` `insert-posit16`
3×	`sub-neg` `associate-r` `log-pow`
2×	`flip3-+` `rem-log-exp` `associate--l+` `flip-+` `distribute-lft-out` `associate--r+`
1×	`associate--l-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `associate--r-` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

12.0ms	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
10.0ms	(log (+ (exp (- s)) 1))
5.0ms	(log (+ 1 (exp (- t))))
46.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (log (+ 1 (exp (- t)))) c_p)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
51.0ms	(log (+ (exp (- s)) 1))
66.0ms	(log (+ 1 (exp (- t))))
326.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (log (+ 1 (exp (- t)))) c_p)))

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1939
1	598
0	238

prune700.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize90.0ms

Local error

Found 4 expressions with local error:

0.2b	(* c_p (log (+ (exp (- s)) 1)))
0.2b	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
0.3b	(log (+ (exp (- s)) 1))
8.2b	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (+ (* t (* t 1/8)) (+ (log 2) (* t -1/2))) c_p)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`add-log-exp`
12×	`log-prod`
11×	`pow1` `add-cube-cbrt`
9×	`add-exp-log`
8×	`add-cbrt-cube` `diff-log`
7×	`associate-r` `associate-l`
5×	`flip3--` `flip--`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-sub` `insert-posit16`
3×	`sub-neg` `log-pow` `distribute-lft-out`
2×	`log-div` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`
1×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

26.0ms	(* c_p (log (+ (exp (- s)) 1)))
7.0ms	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
8.0ms	(log (+ (exp (- s)) 1))
49.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (+ (* t (* t 1/8)) (+ (log 2) (* t -1/2))) c_p)))

series874.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* c_p (log (+ (exp (- s)) 1)))
80.0ms	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
48.0ms	(log (+ (exp (- s)) 1))
694.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (+ (* t (* t 1/8)) (+ (log 2) (* t -1/2))) c_p)))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2051
1	611
0	235

prune779.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize89.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
0.2b	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
0.4b	(* c_p (+ (* s (* s 1/8)) (+ (log 2) (* s -1/2))))
8.2b	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (+ (* s (* s 1/8)) (+ (log 2) (* s -1/2))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (+ (* t (* t 1/8)) (+ (log 2) (* t -1/2))) c_p)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-log-exp`
12×	`pow1` `*-un-lft-identity`
11×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
8×	`diff-log`
5×	`flip3--` `flip--`
4×	`frac-sub` `insert-posit16`
3×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate--l+` `associate-*r/` `log-pow` `associate--r+`
1×	`associate--l-` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
7.0ms	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
59.0ms	(* c_p (+ (* s (* s 1/8)) (+ (log 2) (* s -1/2))))
42.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (+ (* s (* s 1/8)) (+ (log 2) (* s -1/2))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (+ (* t (* t 1/8)) (+ (log 2) (* t -1/2))) c_p)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
80.0ms	(* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n)
77.0ms	(* c_p (+ (* s (* s 1/8)) (+ (log 2) (* s -1/2))))
237.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (+ (* s (* s 1/8)) (+ (log 2) (* s -1/2))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (+ (* t (* t 1/8)) (+ (log 2) (* t -1/2))) c_p)))

simplify2.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5004
2	2847
1	700
0	247

prune797.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

regimes195.0ms

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	61
1	61
0	42

end0.0ms

sample8.9m

Algorithm

intervals

Results

8.9m	38482×	body	10240	exit
2.0s	41531×	pre	80	true
879.0ms	2944×	body	80	valid
66.0ms	8×	body	5120	valid
59.0ms	25×	body	1280	valid
23.0ms	20×	body	640	valid
17.0ms	37×	body	160	valid
15.0ms	4×	body	2560	valid
7.0ms	10×	body	320	valid