Details

sample47.5s

Algorithm

intervals

Results

46.5s	3358×	body	10240	exit
616.0ms	3614×	pre	80	true
28.0ms	246×	body	80	valid
5.0ms	2×	body	2560	valid
4.0ms	3×	body	640	valid
1.0ms	3×	body	160	valid
1.0ms	2×	body	320	valid

simplify528.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	847	43
done	5000	43

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(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)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

558×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
250×	`div-exp`
184×	`pow-to-exp`
51×	`*-un-lft-identity`
37×	`times-frac`
36×	`unpow-prod-down`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-cbrt-cube`
10×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `associate-/r/`
5×	`cbrt-undiv` `associate-/r*`
4×	`cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 285

Calls

4 calls:

17.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
170.0ms	(/ (* (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)))

series802.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
72.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
72.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
631.0ms	(/ (* (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)))

simplify1.3s

Counts

297 → 297

Iterations

Useful iterations: 2 (503.0ms)

Iter	Nodes	Cost
0	352	10927
1	1184	10510
2	4573	9779
done	5001	9779

prune549.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

18.0ms

(* 0.5 (* s c_n))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 0.5 (* s c_n))

simplify2.1s

Counts

21 → 21

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	35	154
1	86	151
2	313	121
3	1269	121
done	5001	121

prune39.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
28.1b	(cbrt (* 0.5 (* s c_n)))
28.1b	(cbrt (* 0.5 (* s c_n)))
28.1b	(cbrt (* 0.5 (* s c_n)))

rewrite58.0ms

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

series408.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
91.0ms	(cbrt (* 0.5 (* s c_n)))
91.0ms	(cbrt (* 0.5 (* s c_n)))
92.0ms	(cbrt (* 0.5 (* s c_n)))

simplify453.0ms

Counts

70 → 70

Iterations

Useful iterations: done (451.0ms)

Iter	Nodes	Cost
0	86	856
1	222	766
2	844	670
done	5000	620

prune239.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (* 0.5 (* s c_n))) (* 2 3))
28.1b	(cbrt (* 0.5 (* s c_n)))
28.1b	(cbrt (* 0.5 (* s c_n)))
42.7b	(pow (pow (cbrt (* 0.5 (* s c_n))) (* 2 3)) 1/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`unpow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
5×	`pow1` `pow-exp`
4×	`cbrt-prod` `pow-unpow` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 60

Calls

4 calls:

6.0ms	(pow (cbrt (* 0.5 (* s c_n))) (* 2 3))
10.0ms	(cbrt (* 0.5 (* s c_n)))
15.0ms	(cbrt (* 0.5 (* s c_n)))
9.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) (* 2 3)) 1/3)

series536.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(pow (cbrt (* 0.5 (* s c_n))) (* 2 3))
94.0ms	(cbrt (* 0.5 (* s c_n)))
91.0ms	(cbrt (* 0.5 (* s c_n)))
210.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) (* 2 3)) 1/3)

simplify4.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (825.0ms)

Iter	Nodes	Cost
0	105	1043
1	303	812
2	961	749
3	4923	686
done	5000	686

prune257.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.6b

regimes268.0ms

bsearch5.5s

Steps

Iters	Range		Point
8	-595.6697281266656	-1.8614439338488036	-1.8776587258486057

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	82
1	64	82
done	64	82

end0.0ms

sample52.8s

Algorithm

intervals

Results

52.2s	4039×	body	10240	exit
349.0ms	4349×	pre	80	true
32.0ms	299×	body	80	valid
15.0ms	1×	body	5120	valid
5.0ms	2×	body	2560	valid
3.0ms	3×	body	640	valid
1.0ms	3×	body	160	valid
1.0ms	2×	body	320	valid