Details

sample47.8s

Algorithm

intervals

Results

47.4s	3151×	body	10240	exit
228.0ms	3408×	pre	80	true
32.0ms	247×	body	80	valid
7.0ms	1×	body	2560	valid
3.0ms	3×	body	640	valid
2.0ms	3×	body	320	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid

simplify1.5s

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: 7.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (/ 1 (+ 1 (exp (- s)))))
1.0b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.5b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
4.1b	(/ (* (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)))

rewrite322.0ms

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:

41.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
18.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
20.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
214.0ms	(/ (* (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)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
57.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
55.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
523.0ms	(/ (* (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)))

simplify1.9s

Counts

488 → 488

Iterations

Iter	Nodes
done	5029
2	3777
1	1461
0	451

prune661.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (* c_p s))
0.0b	(* 1/2 (* c_n s))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`

Counts

2 → 38

Calls

2 calls:

15.0ms	(* 1/2 (* c_p s))
15.0ms	(* 1/2 (* c_n s))

series42.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 1/2 (* c_p s))
23.0ms	(* 1/2 (* c_n s))

simplify1.7s

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
3	1635
2	488
1	162
0	62

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
1.2b	(log (+ (exp (- s)) 1))
1.5b	(log (+ 1 (exp (- t))))
10.4b	(- (- (* (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)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
19×	`log-prod`
16×	`add-log-exp`
8×	`diff-log`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
6×	`log-div` `flip3--` `flip--`
4×	`times-frac` `add-cbrt-cube` `frac-sub` `insert-posit16`
3×	`sub-neg` `rem-log-exp` `log-pow` `distribute-lft-out--`
2×	`flip3-+` `associate--l+` `flip-+` `distribute-lft-out` `associate--r+`
1×	`associate--l-` `div-inv` `associate--r-`

Counts

4 → 83

Calls

4 calls:

41.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
11.0ms	(log (+ (exp (- s)) 1))
7.0ms	(log (+ 1 (exp (- t))))
57.0ms	(- (- (* (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)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
49.0ms	(log (+ (exp (- s)) 1))
48.0ms	(log (+ 1 (exp (- t))))
283.0ms	(- (- (* (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)))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5005
2	2075
1	635
0	262

prune582.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
0.3b	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
1.2b	(log (+ (exp (- s)) 1))
10.4b	(- (- (* (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)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
40.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
12.0ms	(log (+ (exp (- s)) 1))
58.0ms	(- (- (* (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)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
66.0ms	(log (- 1 (/ 1 (+ 1 (exp (- t))))))
48.0ms	(log (+ (exp (- s)) 1))
367.0ms	(- (- (* (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)))

simplify2.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	2082
1	645
0	262

prune677.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes352.0ms

bsearch1.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	79
1	79
0	58

end0.0ms

sample7.7m

Algorithm

intervals

Results

7.6m	35434×	body	10240	exit
2.1s	38194×	pre	80	true
879.0ms	2685×	body	80	valid
38.0ms	21×	body	1280	valid
35.0ms	11×	body	640	valid
18.0ms	3×	body	5120	valid
15.0ms	4×	body	2560	valid
7.0ms	23×	body	160	valid
6.0ms	13×	body	320	valid