Details

sample43.6s

Algorithm

intervals

Results

42.9s	3037×	body	10240	exit
434.0ms	3294×	pre	80	true
30.0ms	252×	body	80	valid
3.0ms	1×	body	1280	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify19.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.2b	(/ (* (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)))

rewrite284.0ms

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

Counts

4 → 267

Calls

4 calls:

31.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
190.0ms	(/ (* (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)))

series856.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
658.0ms	(/ (* (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)))

simplify89.0ms

Counts: 279 → 279

prune458.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 2.0) (* s c_n))
0.0b	(* (/ 1.0 2.0) (* s c_p))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `associate-l` `add-cbrt-cube`
18×	`times-frac`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp`
2×	`associate-r` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 66

Calls

2 calls:

24.0ms	(* (/ 1.0 2.0) (* s c_n))
28.0ms	(* (/ 1.0 2.0) (* s c_p))

series45.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (/ 1.0 2.0) (* s c_n))
21.0ms	(* (/ 1.0 2.0) (* s c_p))

simplify31.0ms

Counts: 72 → 72

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt 1.0) (cbrt 2.0))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`cbrt-prod`
21×	`sqrt-prod`
6×	`add-exp-log` `associate-/r` `associate-/l`
5×	`add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 93

Calls

4 calls:

7.0ms	(/ (sqrt 1.0) (cbrt 2.0))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt 1.0) (cbrt 2.0))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify49.0ms

Counts: 97 → 97

prune348.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt (cbrt 2.0))
1.0b	(cbrt (cbrt 2.0))
1.0b	(cbrt (cbrt 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt (cbrt 2.0))
1.0ms	(cbrt (cbrt 2.0))
1.0ms	(cbrt (cbrt 2.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt (cbrt 2.0))
0.0ms	(cbrt (cbrt 2.0))
0.0ms	(cbrt (cbrt 2.0))

simplify43.0ms

Counts: 57 → 57

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

regimes551.0ms

bsearch18.6s

Steps

Iters	Range		Point
7	7.355739963951051e-32	2.9354910642990618e-30	2.348046779649347e-31
12	-2.629593170976357e+50	-2256.21797454511	-531421872.05187196

simplify35.0ms

end0.0ms

sample7.8m

Algorithm

intervals

Results

7.7m	36253×	body	10240	exit
1.7s	39186×	pre	80	true
634.0ms	2835×	body	80	valid
40.0ms	24×	body	1280	valid
29.0ms	8×	body	2560	valid
28.0ms	4×	body	5120	valid
16.0ms	19×	body	640	valid
10.0ms	33×	body	160	valid
5.0ms	10×	body	320	valid