Details

sample45.1s

Algorithm

intervals

Results

44.7s	3078×	body	10240	exit
116.0ms	3334×	pre	80	true
31.0ms	249×	body	80	valid
4.0ms	3×	body	640	valid
1.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	111	43
done	5000	43

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.4b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.5b	(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)))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

553×	`add-exp-log`
312×	`prod-exp`
262×	`pow-exp`
248×	`div-exp`
183×	`pow-to-exp`
145×	`*-un-lft-identity`
109×	`add-sqr-sqrt`
108×	`prod-diff`
99×	`add-cube-cbrt`
87×	`times-frac`
21×	`distribute-lft-out`
18×	`unpow-prod-down`
16×	`add-cbrt-cube`
14×	`associate-/r/`
8×	`div-inv` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`fma-neg`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `difference-of-squares`
3×	`pow-unpow`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`pow-pow` `frac-2neg` `clear-num` `associate-/r` `associate-/l` `sqr-pow`

Counts

4 → 371

Calls

4 calls:

44.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
44.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
187.0ms	(/ (* (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)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
648.0ms	(/ (* (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)))

simplify873.0ms

Counts

383 → 383

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	570	17315
done	5001	14862

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
0.4b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.5b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.1b	(- (fma (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)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
36×	`log-prod`
15×	`distribute-lft-out`
10×	`add-exp-log` `associate-/r/`
8×	`add-log-exp`
6×	`pow1` `fma-neg`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `rem-log-exp` `add-cbrt-cube` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `log-pow` `flip--` `fma-udef` `distribute-lft-out--`
1×	`associate--l+` `associate--r+`

Counts

4 → 166

Calls

4 calls:

12.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
42.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
11.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
14.0ms	(- (fma (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)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
75.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
405.0ms	(- (fma (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)))

simplify887.0ms

Counts

178 → 178

Iterations

Useful iterations: done (874.0ms)

Iter	Nodes	Cost
0	414	7734
done	5000	5801

prune985.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
0.4b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
0.4b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
10.1b	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (- (+ (log 0.5) (* 0.5 t)) (* 0.03125 (/ (pow t 2) (pow 0.5 2)))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

9.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
10.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
46.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
7.0ms	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (- (+ (log 0.5) (* 0.5 t)) (* 0.03125 (/ (pow t 2) (pow 0.5 2)))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series971.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
73.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
720.0ms	(- (fma (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (fma (- (+ (log 0.5) (* 0.5 t)) (* 0.03125 (/ (pow t 2) (pow 0.5 2)))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify941.0ms

Counts

168 → 168

Iterations

Useful iterations: done (931.0ms)

Iter	Nodes	Cost
0	384	8273
done	5000	6073

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite21.0ms

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×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

21.0ms

(* 0.5 (* s c_n))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 0.5 (* s c_n))

simplify8.4s

Counts

23 → 23

Iterations

Useful iterations: 2 (666.0ms)

Iter	Nodes	Cost
0	37	166
1	146	163
2	1176	133
done	5000	133

prune41.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes166.0ms

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	54
1	42	54
done	42	54

end0.0ms

sample44.3s

Algorithm

intervals

Results

43.9s	3441×	body	10240	exit
152.0ms	3721×	pre	80	true
28.0ms	272×	body	80	valid
3.0ms	3×	body	640	valid
1.0ms	3×	body	160	valid
1.0ms	2×	body	320	valid