Details

sample52.0s

Algorithm

intervals

Results

51.6s	3266×	body	10240	exit
169.0ms	3523×	pre	80	true
53.0ms	248×	body	80	valid
8.0ms	2×	body	2560	valid
7.0ms	2×	body	1280	valid
2.0ms	4×	body	160	valid
1.0ms	1×	body	320	valid

simplify4.3s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize44.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ (* (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)))
1.2b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
0.1b	(- 1 (/ 1 (+ 1 (exp (- s)))))
0.0b	(/ 1 (+ 1 (exp (- t))))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

1191×	`add-exp-log`
688×	`pow-exp`
684×	`prod-exp`
593×	`div-exp`
343×	`pow-to-exp`
116×	`rec-exp` `1-exp`
44×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
29×	`times-frac`
22×	`add-cube-cbrt`
18×	`unpow-prod-down` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out`
6×	`add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `associate-/r*`
4×	`associate-/r/` `cbrt-unprod` `insert-posit16` `div-inv` `associate-/l*`
3×	`pow-unpow` `pow-pow`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `distribute-lft-out--` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `sqr-pow`

Counts

4 → 476

Calls

4 calls:

Slowest

140.0ms	(/ (* (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)))
26.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
12.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
12.0ms	(/ 1 (+ 1 (exp (- t))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

542.0ms	(/ (* (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)))
59.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
33.0ms	(- 1 (/ 1 (+ 1 (exp (- s)))))
20.0ms	(/ 1 (+ 1 (exp (- t))))

simplify1.8s

Counts: 488 → 488

prune6.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

Slowest

16.0ms

(* 1/2 (* c_n s))

series24.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

24.0ms

(* 1/2 (* c_n s))

simplify1.4s

Counts: 22 → 22

prune174.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

Slowest

12.0ms

(* 1/2 (* c_n s))

series21.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

21.0ms

(* 1/2 (* c_n s))

simplify1.4s

Counts: 22 → 22

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

7.0b	(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (log (+ 1 (exp (- t)))) c_p)))
1.2b	(log (+ 1 (exp (- t))))
0.4b	(log (+ 1 (exp (- s))))
0.2b	(* (log (+ 1 (exp (- t)))) c_p)

rewrite63.0ms

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:

Slowest

45.0ms	(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (log (+ 1 (exp (- t)))) c_p)))
7.0ms	(* (log (+ 1 (exp (- t)))) c_p)
5.0ms	(log (+ 1 (exp (- t))))
5.0ms	(log (+ 1 (exp (- s))))

series741.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

574.0ms	(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n) (* (log (+ 1 (exp (- t)))) c_p)))
65.0ms	(* (log (+ 1 (exp (- t)))) c_p)
53.0ms	(log (+ 1 (exp (- s))))
49.0ms	(log (+ 1 (exp (- t))))

Details

sample52.0s

simplify4.3s

prune12.0ms

localize44.0ms

rewrite205.0ms

series654.0ms

simplify1.8s

prune6.2s

localize20.0ms

rewrite17.0ms

series24.0ms

simplify1.4s

prune174.0ms

localize18.0ms

rewrite12.0ms

series21.0ms

simplify1.4s

prune169.0ms

localize60.0ms

rewrite63.0ms

series741.0ms

simplify879.0ms

prune1.3s

regimes550.0ms

bsearch9.0ms

end0.0ms

sample8.8m