Details

sample52.5s

Algorithm

intervals

Results

52.1s	3352×	body	10240	exit
170.0ms	3609×	pre	80	true
52.0ms	252×	body	80	valid
3.0ms	1×	body	1280	valid
2.0ms	1×	body	640	valid
1.0ms	3×	body	160	valid

simplify892.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2041
4	2041
3	743
2	143
1	54
0	22

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (/ 1 (+ 1 (exp (- t)))))
0.7b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
1.5b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
3.9b	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`add-exp-log`
692×	`pow-exp`
684×	`prod-exp`
593×	`div-exp`
344×	`pow-to-exp`
116×	`rec-exp` `1-exp`
103×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
65×	`times-frac` `add-cube-cbrt`
54×	`prod-diff`
36×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`distribute-lft-out`
10×	`associate-/r/`
8×	`pow1`
7×	`div-inv`
6×	`pow-unpow` `pow-pow` `add-log-exp` `difference-of-squares`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-flip` `distribute-lft-out--` `inv-pow` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l`

Counts

4 → 541

Calls

4 calls:

32.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
12.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
14.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
138.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
59.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
60.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
546.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

simplify1.4s

Counts

553 → 553

Iterations

Iter	Nodes
done	2001
2	2001
1	1508
0	555

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (fma (* 1/2 c_p) s 1) (* (* 1/2 c_n) s))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `associate--l+` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 22

Calls

1 calls:

5.0ms

(- (fma (* 1/2 c_p) s 1) (* (* 1/2 c_n) s))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(- (fma (* 1/2 c_p) s 1) (* (* 1/2 c_n) s))

simplify639.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	2000
3	2000
2	534
1	132
0	52

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

1.0b	(log1p (exp (- t)))
1.5b	(log1p (exp (- s)))
8.0b	(- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t)))))))
32.2b	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`expm1-log1p-u` `add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff`
2×	`log1p-udef` `log1p-expm1` `fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `associate--r+`

Counts

4 → 55

Calls

4 calls:

0.0ms	(log1p (exp (- t)))
0.0ms	(log1p (exp (- s)))
8.0ms	(- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t)))))))
0.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))

series739.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(log1p (exp (- t)))
54.0ms	(log1p (exp (- s)))
304.0ms	(- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t)))))))
329.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))

simplify813.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	2003
3	2003
2	751
1	303
0	157

prune513.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

8.0b	(- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t)))))))
32.2b	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))
32.2b	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))
32.2b	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `associate--r+`

Counts

4 → 53

Calls

4 calls:

12.0ms	(- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t)))))))
0.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))
0.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))
0.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

305.0ms	(- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t)))))))
324.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))
328.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))
325.0ms	(fma (- (log1p (exp (- s)))) c_p (- (* (log (- 1 (/ 1 (+ (/ 1 (exp s)) 1)))) c_n) (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) c_n (* c_p (- (log1p (exp (- t))))))))

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	2003
4	2003
3	1854
2	615
1	251
0	124

prune711.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes431.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample1.5m

Algorithm

intervals

Results

1.4m	5988×	body	10240	exit
442.0ms	6476×	pre	80	true
135.0ms	475×	body	80	valid
7.0ms	3×	body	1280	valid
5.0ms	3×	body	640	valid
4.0ms	7×	body	160	valid