Details

sample46.2s

Algorithm

intervals

Results

45.8s	3676×	body	10240	exit
88.0ms	3932×	pre	80	true
21.0ms	248×	body	80	valid
5.0ms	1×	body	5120	valid
2.0ms	1×	body	2560	valid
2.0ms	1×	body	1280	valid
1.0ms	5×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	25
1	147	25
2	850	25
3	5001	25
done	5001	25

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
0.5b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
4.2b	(/ (* (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)))

rewrite250.0ms

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:

18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
29.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
163.0ms	(/ (* (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)))

series815.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
72.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
624.0ms	(/ (* (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)))

simplify101.0ms

Counts

279 → 279

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	976	5948
1	3142	5704
2	5001	5704
done	5001	5704

prune445.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

14.0ms	(* 0.5 (* s c_n))
15.0ms	(* 0.5 (* s c_p))

series42.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* 0.5 (* s c_n))
20.0ms	(* 0.5 (* s c_p))

simplify56.0ms

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	153	142
1	595	112
2	2373	112
3	5002	112
done	5002	112

prune73.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
29.2b	(cbrt (* 0.5 (* s c_n)))
29.2b	(cbrt (* 0.5 (* s c_n)))
29.2b	(cbrt (* 0.5 (* s c_n)))

rewrite56.0ms

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:

25.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
94.0ms	(cbrt (* 0.5 (* s c_n)))
93.0ms	(cbrt (* 0.5 (* s c_n)))
95.0ms	(cbrt (* 0.5 (* s c_n)))

simplify93.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	205	441
1	703	390
2	3412	330
3	5001	323
done	5001	323

prune222.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* s c_n))) (cbrt 0.5))
29.2b	(cbrt (* s c_n))
29.2b	(cbrt (* 0.5 (* s c_n)))
29.2b	(cbrt (* 0.5 (* s c_n)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

16.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt 0.5))
3.0ms	(cbrt (* s c_n))
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt 0.5))
69.0ms	(cbrt (* s c_n))
94.0ms	(cbrt (* 0.5 (* s c_n)))
92.0ms	(cbrt (* 0.5 (* s c_n)))

simplify41.0ms

Counts

63 → 63

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	165	377
1	442	348
2	1589	318
3	5001	309
done	5001	309

prune223.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

regimes379.0ms

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16
done	27	16

end0.0ms

sample1.1m

Algorithm

intervals

Results

1.1m	5393×	body	10240	exit
125.0ms	5796×	pre	80	true
33.0ms	391×	body	80	valid
5.0ms	1×	body	5120	valid
2.0ms	3×	body	640	valid
2.0ms	1×	body	2560	valid
2.0ms	1×	body	1280	valid
1.0ms	5×	body	160	valid
0.0ms	1×	body	320	valid