Details

sample49.5s

Algorithm

intervals

Results

49.0s	3329×	body	10240	exit
159.0ms	3585×	pre	80	true
62.0ms	252×	body	80	valid
11.0ms	1×	body	2560	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	valid

simplify774.0ms

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: 4.5b

localize31.0ms

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)
0.5b	(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)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
97×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
62×	`times-frac`
54×	`prod-diff`
36×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`distribute-lft-out`
10×	`associate-/r/`
6×	`pow1` `pow-unpow` `div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-pow` `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 → 332

Calls

4 calls:

44.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
182.0ms	(/ (* (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)))

series869.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
77.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
661.0ms	(/ (* (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)))

simplify539.0ms

Counts

344 → 344

Iterations

Useful iterations: done (525.0ms)

Iter	Nodes	Cost
0	471	14274
1	1506	13193
done	5000	11961

prune728.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune15.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.5b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
11.1b	(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
14.6b	(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-exp-log` `add-sqr-sqrt`
29×	`add-cube-cbrt`
24×	`times-frac`
20×	`log-prod`
18×	`unpow-prod-down`
15×	`rem-log-exp`
12×	`pow1` `prod-diff` `pow-exp` `prod-exp`
8×	`pow-to-exp`
7×	`log-pow`
6×	`distribute-lft-out`
5×	`div-exp` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`flip3-+` `flip-+` `div-inv` `distribute-lft-out--`
1×	`sub-neg` `log-div` `flip3--` `pow-pow` `diff-log` `associate--l+` `flip--` `fma-udef` `associate--r+` `difference-of-squares` `sqr-pow`

Counts

4 → 125

Calls

4 calls:

22.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
10.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
964.0ms	(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
98.0ms	(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
72.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
350.0ms	(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
211.0ms	(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

simplify1.0s

Counts

137 → 137

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	303	5145
1	763	4137
2	2392	3781
done	5000	3181

prune669.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
0.3b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
9.1b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
36×	`log-prod`
33×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
24×	`times-frac`
12×	`add-exp-log`
9×	`pow1` `prod-diff` `add-log-exp`
6×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `rem-log-exp` `associate-l` `associate-/r/` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `log-pow`
2×	`log-div` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `associate--r+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

9.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
10.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
10.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
59.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series690.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
71.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
77.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
405.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify973.0ms

Counts

126 → 126

Iterations

Useful iterations: done (965.0ms)

Iter	Nodes	Cost
0	321	4551
1	688	3760
2	2299	3249
done	5000	2878

prune639.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

regimes569.0ms

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	50
1	41	50
done	41	50

end0.0ms

sample9.0m

Algorithm

intervals

Results

8.9m	41793×	body	10240	exit
2.7s	45003×	pre	80	true
665.0ms	3094×	body	80	valid
47.0ms	3×	body	5120	valid
43.0ms	24×	body	1280	valid
24.0ms	31×	body	640	valid
12.0ms	42×	body	160	valid
10.0ms	3×	body	2560	valid
6.0ms	12×	body	320	valid