Details

sample46.6s

Algorithm

intervals

Results

46.2s	3138×	body	10240	exit
88.0ms	3395×	pre	80	true
32.0ms	248×	body	80	valid
8.0ms	3×	body	1280	valid
8.0ms	1×	body	5120	valid
2.0ms	5×	body	160	valid

simplify842.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	839	43
done	5001	43

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.9b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.4b	(/ (* (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)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

553×	`add-exp-log`
312×	`prod-exp`
262×	`pow-exp`
248×	`div-exp`
183×	`pow-to-exp`
23×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`times-frac`
13×	`add-cube-cbrt`
8×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `cbrt-unprod` `difference-of-squares`
3×	`pow-unpow` `distribute-lft-out`
2×	`sub-neg` `flip3--` `diff-log` `associate-/r/` `flip--` `div-inv` `distribute-lft-out--`
1×	`pow-pow` `frac-2neg` `flip3-+` `clear-num` `associate-/r` `flip-+` `associate-/l` `sqr-pow`

Counts

4 → 249

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
32.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
179.0ms	(/ (* (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)))

series837.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
657.0ms	(/ (* (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)))

simplify763.0ms

Counts

261 → 261

Iterations

Useful iterations: 2 (306.0ms)

Iter	Nodes	Cost
0	329	10459
1	771	9693
2	2215	9337
done	5000	9337

prune400.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

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

series42.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify3.7s

Counts

42 → 42

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	59	308
1	151	302
2	560	242
3	1896	242
4	3876	242
done	5001	242

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(* (log 0.5) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.5b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

168×	`add-exp-log`
88×	`prod-exp`
64×	`div-exp`
53×	`pow-exp`
41×	`pow-to-exp`
18×	`add-sqr-sqrt` `add-cbrt-cube`
10×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`pow1`
6×	`add-cube-cbrt`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-l` `difference-of-squares`
3×	`times-frac` `associate-r`
2×	`sub-neg` `flip3--` `diff-log` `associate-*l/` `associate-/r/` `flip--` `distribute-lft-out--`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r` `log-pow` `-commutative` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

31.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
8.0ms	(* (log 0.5) c_p)
30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
183.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

55.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
176.0ms	(* (log 0.5) c_p)
52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
789.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify899.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (342.0ms)

Iter	Nodes	Cost
0	273	4885
1	697	4577
2	2638	4021
done	5002	4021

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b	(* (log 0.5) c_p)
0.2b	(- (pow 1.0 3) (pow (/ 1.0 (+ 1.0 (exp (- t)))) 3))
1.5b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (/ (- (pow 1.0 3) (pow (/ 1.0 (+ 1.0 (exp (- t)))) 3)) (+ (* (/ 1.0 (+ 1.0 (exp (- t)))) (+ 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* 1.0 1.0))) c_n)))

rewrite528.0ms

Algorithm

rewrite-expression-head

Rules

228×	`add-exp-log`
113×	`prod-exp`
93×	`div-exp`
76×	`pow-exp`
59×	`add-sqr-sqrt`
48×	`pow-to-exp`
26×	`difference-of-squares`
18×	`unpow-prod-down` `*-un-lft-identity` `cube-prod` `add-cbrt-cube`
10×	`times-frac` `sqr-pow`
8×	`add-log-exp`
7×	`pow1`
6×	`add-cube-cbrt` `distribute-lft-out--`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-l`
3×	`associate-r`
2×	`sub-neg` `flip3--` `diff-log` `associate-*l/` `associate-/r/` `flip--`
1×	`difference-cubes` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r` `log-pow` `-commutative` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
8.0ms	(* (log 0.5) c_p)
86.0ms	(- (pow 1.0 3) (pow (/ 1.0 (+ 1.0 (exp (- t)))) 3))
395.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (/ (- (pow 1.0 3) (pow (/ 1.0 (+ 1.0 (exp (- t)))) 3)) (+ (* (/ 1.0 (+ 1.0 (exp (- t)))) (+ 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* 1.0 1.0))) c_n)))

series1.6s

Counts

4 → 12

Calls

4 calls:

55.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
179.0ms	(* (log 0.5) c_p)
78.0ms	(- (pow 1.0 3) (pow (/ 1.0 (+ 1.0 (exp (- t)))) 3))
1.3s	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* (log 0.5) c_p) (+ (* 0.5 (* t c_p)) 1)) (pow (/ (- (pow 1.0 3) (pow (/ 1.0 (+ 1.0 (exp (- t)))) 3)) (+ (* (/ 1.0 (+ 1.0 (exp (- t)))) (+ 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* 1.0 1.0))) c_n)))

simplify1.1s

Counts

172 → 172

Iterations

Useful iterations: 2 (410.0ms)

Iter	Nodes	Cost
0	345	8986
1	858	8448
2	3120	7684
done	5001	7684

prune592.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

regimes213.0ms

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	91
1	64	91
done	64	91

end0.0ms

sample9.0m

Algorithm

intervals

Results

8.9m	41673×	body	10240	exit
945.0ms	44986×	pre	80	true
631.0ms	3200×	body	80	valid
85.0ms	9×	body	5120	valid
42.0ms	23×	body	1280	valid
23.0ms	27×	body	640	valid
12.0ms	41×	body	160	valid
8.0ms	3×	body	2560	valid
4.0ms	9×	body	320	valid