Details

sample50.5s

Algorithm

intervals

Results

50.2s	3263×	body	10240	exit
144.0ms	3520×	pre	80	true
53.0ms	253×	body	80	valid
2.0ms	4×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
4	8112
3	742
2	141
1	52
0	22

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ 1 (exp (- t)))))
0.7b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.5b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
3.2b	(/ (* (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)))

rewrite200.0ms

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:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
12.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
134.0ms	(/ (* (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)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
57.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
57.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
522.0ms	(/ (* (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)))

simplify1.6s

Counts

488 → 488

Iterations

Iter	Nodes
2	3883
1	1315
0	451

prune5.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

12.0ms	(* 1/2 (* c_p s))
12.0ms	(* 1/2 (* c_n s))

series45.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* 1/2 (* c_p s))
21.0ms	(* 1/2 (* c_n s))

simplify1.5s

Counts

44 → 44

Iterations

Iter	Nodes
4	3664
3	1388
2	488
1	162
0	62

prune283.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ (exp (- t)) 1)))
0.7b	(log (+ (exp (- s)) 1))
1.7b	(log (+ (exp (- t)) 1))
10.3b	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

40.0ms	(- 1 (/ 1 (+ (exp (- t)) 1)))
8.0ms	(log (+ (exp (- s)) 1))
8.0ms	(log (+ (exp (- t)) 1))
45.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- 1 (/ 1 (+ (exp (- t)) 1)))
52.0ms	(log (+ (exp (- s)) 1))
49.0ms	(log (+ (exp (- t)) 1))
300.0ms	(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))

simplify827.0ms

Counts

93 → 93

Iterations

Iter	Nodes
2	2116
1	611
0	241

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes254.0ms

bsearch3.7s

Steps

Iters	Range		Point
5	2.6997130017442587e-144	5.839702157493646e-144	2.7431943211010856e-144

simplify8.0ms

Iterations

Iter	Nodes
2	48
1	48
0	37

end0.0ms

sample3.2m

Algorithm

intervals

Results

3.2m	14378×	body	10240	exit
689.0ms	15484×	pre	80	true
216.0ms	1058×	body	80	valid
46.0ms	3×	body	5120	valid
17.0ms	14×	body	640	valid
9.0ms	21×	body	160	valid
8.0ms	4×	body	1280	valid
3.0ms	5×	body	320	valid
3.0ms	1×	body	2560	valid