Details

sample51.3s

Algorithm

intervals

Results

50.4s	3151×	body	10240	exit
601.0ms	3408×	pre	80	true
33.0ms	247×	body	80	valid
7.0ms	1×	body	2560	valid
3.0ms	3×	body	640	valid
1.0ms	3×	body	320	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
3	744
2	143
1	53
0	22

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize93.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.1b	(/ (* (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)))

rewrite415.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-pow` `difference-of-squares` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 336

Calls

4 calls:

60.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
29.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
30.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
247.0ms	(/ (* (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)))

series1.7s

Counts

4 → 12

Calls

4 calls:

77.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
122.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
121.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.3s	(/ (* (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)))

simplify4.8s

Counts

348 → 348

Iterations

Iter	Nodes
done	5002
2	3934
1	1418
0	481

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* s c_n) 0.5)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

22.0ms

(* (* s c_n) 0.5)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* s c_n) 0.5)

simplify2.7s

Counts

24 → 24

Iterations

Iter	Nodes
done	5001
3	1190
2	339
1	105
0	43

prune241.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize135.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
1.2b	(log (/ 1.0 (+ (exp (- s)) 1.0)))
1.5b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.4b	(- (fma c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))) (* c_p (log (/ 1.0 (+ (exp (- s)) 1.0))))) (fma c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
42×	`log-prod`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
25×	`times-frac`
11×	`add-exp-log`
9×	`prod-diff`
7×	`pow1`
6×	`distribute-lft-out` `add-log-exp`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `log-pow` `difference-of-squares`
2×	`flip3-+` `flip3--` `div-exp` `flip-+` `fma-udef` `div-inv` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate--l+` `associate--r+`

Counts

4 → 115

Calls

4 calls:

62.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
22.0ms	(log (/ 1.0 (+ (exp (- s)) 1.0)))
16.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
10.0ms	(- (fma c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))) (* c_p (log (/ 1.0 (+ (exp (- s)) 1.0))))) (fma c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p)))

series1.1s

Counts

4 → 12

Calls

4 calls:

169.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
130.0ms	(log (/ 1.0 (+ (exp (- s)) 1.0)))
131.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
674.0ms	(- (fma c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))) (* c_p (log (/ 1.0 (+ (exp (- s)) 1.0))))) (fma c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p)))

simplify4.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	4563
2	1543
1	661
0	316

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize135.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (fma 0.5 t (log 0.5)) (* (* 0.03125 (/ t 0.5)) (/ t 0.5))) c_p)
0.3b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
1.2b	(log (/ 1.0 (+ (exp (- s)) 1.0)))
10.4b	(- (fma c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))) (* c_p (log (/ 1.0 (+ (exp (- s)) 1.0))))) (fma c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* (- (fma 0.5 t (log 0.5)) (* (* 0.03125 (/ t 0.5)) (/ t 0.5))) c_p)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
24×	`log-prod`
22×	`add-cube-cbrt`
13×	`times-frac`
10×	`add-exp-log`
9×	`prod-diff`
8×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-div` `flip3--` `fma-neg` `rem-log-exp` `associate-r` `associate-l` `flip--` `distribute-lft-out` `difference-of-squares`
2×	`associate-*l/` `associate-/r/` `log-pow` `fma-udef` `distribute-lft-out--`
1×	`sub-neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `associate--r+` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

24.0ms	(* (- (fma 0.5 t (log 0.5)) (* (* 0.03125 (/ t 0.5)) (/ t 0.5))) c_p)
62.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
23.0ms	(log (/ 1.0 (+ (exp (- s)) 1.0)))
10.0ms	(- (fma c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))) (* c_p (log (/ 1.0 (+ (exp (- s)) 1.0))))) (fma c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* (- (fma 0.5 t (log 0.5)) (* (* 0.03125 (/ t 0.5)) (/ t 0.5))) c_p)))

series1.1s

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (- (fma 0.5 t (log 0.5)) (* (* 0.03125 (/ t 0.5)) (/ t 0.5))) c_p)
169.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
131.0ms	(log (/ 1.0 (+ (exp (- s)) 1.0)))
761.0ms	(- (fma c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))) (* c_p (log (/ 1.0 (+ (exp (- s)) 1.0))))) (fma c_n (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) (* (- (fma 0.5 t (log 0.5)) (* (* 0.03125 (/ t 0.5)) (/ t 0.5))) c_p)))

simplify2.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1706
1	611
0	285

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes1.1s

bsearch2.0ms

simplify30.0ms

Iterations

Iter	Nodes
done	69
1	69
0	56

end0.0ms

sample7.6m

Algorithm

intervals

Results

7.5m	35434×	body	10240	exit
1.6s	38194×	pre	80	true
603.0ms	2685×	body	80	valid
36.0ms	21×	body	1280	valid
35.0ms	11×	body	640	valid
16.0ms	3×	body	5120	valid
15.0ms	4×	body	2560	valid
6.0ms	23×	body	160	valid
5.0ms	13×	body	320	valid