Details

sample49.8s

Algorithm

intervals

Results

49.0s	3458×	body	10240	exit
555.0ms	3714×	pre	80	true
31.0ms	250×	body	80	valid
1.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid

simplify19.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.5b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.7b	(/ (* (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)))

rewrite285.0ms

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:

21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
34.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
189.0ms	(/ (* (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)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
650.0ms	(/ (* (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)))

simplify82.0ms

Counts: 279 → 279

prune499.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

21.0ms	(* 0.5 (* s c_n))
17.0ms	(* 0.5 (* s c_p))

series41.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* 0.5 (* s c_n))
21.0ms	(* 0.5 (* s c_p))

simplify49.0ms

Counts: 42 → 42

prune92.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
28.7b	(cbrt (* 0.5 (* s c_n)))
28.7b	(cbrt (* 0.5 (* s c_n)))
28.7b	(cbrt (* 0.5 (* s c_n)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

27.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
15.0ms	(cbrt (* 0.5 (* s c_n)))
11.0ms	(cbrt (* 0.5 (* s c_n)))
11.0ms	(cbrt (* 0.5 (* s c_n)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
95.0ms	(cbrt (* 0.5 (* s c_n)))
94.0ms	(cbrt (* 0.5 (* s c_n)))
96.0ms	(cbrt (* 0.5 (* s c_n)))

simplify37.0ms

Counts: 70 → 70

prune247.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))
1.7b	(log (exp (* 0.5 (* s c_n))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`log-prod` `log-pow`
2×	`associate-r` `*-commutative`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

3 → 50

Calls

3 calls:

17.0ms	(* 0.5 (* s c_n))
17.0ms	(* 0.5 (* s c_p))
5.0ms	(log (exp (* 0.5 (* s c_n))))

series63.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 0.5 (* s c_n))
23.0ms	(* 0.5 (* s c_p))
21.0ms	(log (exp (* 0.5 (* s c_n))))

simplify51.0ms

Counts: 59 → 59

prune118.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

regimes638.0ms

bsearch0.0ms

simplify62.0ms

end0.0ms

sample4.4m

Algorithm

intervals

Results

4.4m	20673×	body	10240	exit
796.0ms	22254×	pre	80	true
158.0ms	1535×	body	80	valid
14.0ms	3×	body	2560	valid
9.0ms	11×	body	640	valid
6.0ms	3×	body	1280	valid
6.0ms	1×	body	5120	valid
6.0ms	21×	body	160	valid
3.0ms	7×	body	320	valid