Details

sample42.7s

Algorithm

intervals

Results

42.4s	3358×	body	10240	exit
67.0ms	3614×	pre	80	true
20.0ms	250×	body	80	valid
5.0ms	1×	body	5120	valid
3.0ms	2×	body	1280	valid
1.0ms	3×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	25
1	147	25
2	850	25
3	5001	25

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.9b	(/ (* (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)))

rewrite264.0ms

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:

19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
39.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
163.0ms	(/ (* (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)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
619.0ms	(/ (* (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)))

simplify129.0ms

Algorithm

egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1281	8124
1	4380	7090
2	5001	7090

prune600.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite15.0ms

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:

15.0ms

(* 0.5 (* s c_n))

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 0.5 (* s c_n))

simplify71.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	77
1	320	62
2	1234	62
3	3438	62
4	5002	62

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
99×	`*-un-lft-identity`
87×	`prod-exp`
70×	`add-sqr-sqrt`
66×	`div-exp`
65×	`add-cube-cbrt`
62×	`times-frac`
55×	`pow-exp`
54×	`prod-diff`
42×	`pow-to-exp`
18×	`unpow-prod-down` `add-cbrt-cube`
16×	`distribute-lft-out`
10×	`associate-/r/`
6×	`div-inv` `add-log-exp`
5×	`pow1` `cbrt-undiv` `flip3-+` `associate-/r*` `flip-+`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `associate-/l*`
3×	`pow-unpow` `fma-neg`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-pow` `diff-log` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

4 → 215

Calls

4 calls:

17.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
20.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
39.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
146.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series897.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
72.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
748.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify114.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1087	4971
1	4598	3939
2	5001	3939

prune867.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
0.0b	(/ 1.0 (+ 1.0 (exp (- t))))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
62×	`times-frac`
56×	`add-exp-log`
54×	`prod-diff`
24×	`prod-exp`
20×	`add-cbrt-cube`
18×	`div-exp`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`associate-/r*`
8×	`pow-to-exp` `pow-exp`
7×	`associate-/l*`
6×	`cbrt-undiv` `div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 179

Calls

4 calls:

16.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
17.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
39.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
126.0ms	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
26.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
46.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
666.0ms	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify98.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	1025	3971
1	4159	2922
2	5001	2918

prune715.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes184.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

end0.0ms

sample4.0m

Algorithm

intervals

Results

4.0m	19509×	body	10240	exit
359.0ms	21042×	pre	80	true
117.0ms	1491×	body	80	valid
27.0ms	6×	body	2560	valid
26.0ms	4×	body	5120	valid
20.0ms	15×	body	1280	valid
3.0ms	11×	body	160	valid
2.0ms	4×	body	640	valid
1.0ms	2×	body	320	valid