Details

sample2.2s

Algorithm

intervals

Results

1.5s	214×	body	5120	exit
503.0ms	2867×	body	80	overflowed
75.0ms	3339×	pre	80	true
31.0ms	247×	body	80	valid
3.0ms	1×	body	1280	valid
3.0ms	2×	body	640	valid
1.0ms	4×	body	160	valid
1.0ms	2×	body	320	valid
1.0ms	1×	body	320	overflowed
1.0ms	1×	body	160	overflowed

simplify27.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 6.7b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
1.5b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
3.9b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
36×	`unpow-prod-down` `*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`div-inv`
2×	`pow-pow` `flip3-+` `flip-+` `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 → 267

Calls

4 calls:

13.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
40.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series818.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
69.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
621.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify116.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	982	5948
1	3157	5704
2	5003	5704

prune409.0ms

Filtered

279 candidates to 79 candidates (28.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	277	2	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	2	280

Merged error: 0.6b

Counts

280 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite5.0ms

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×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* 0.5 (* s c_n))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 0.5 (* s c_n))

simplify76.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	71
1	318	56
2	1232	56
3	3436	56
4	5002	56

prune34.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0.6b

Counts

23 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
2.0b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
88×	`prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`unpow-prod-down` `add-cbrt-cube`
15×	`add-cube-cbrt`
14×	`times-frac`
7×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-/r/`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
2×	`associate-r/` `associate-l/` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

10.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
6.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
39.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series996.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
112.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
764.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify115.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	920	2823
1	4062	2572
2	5002	2572

prune406.0ms

Filtered

153 candidates to 72 candidates (47.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	153	3	156

Merged error: 0.6b

Counts

156 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
0.2b	(* (pow (log 0.5) 2) (pow c_p 2))
1.0b	(pow (log 0.5) 2)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
26×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`unswap-sqr`
13×	`pow-to-exp` `pow-exp`
12×	`associate-l`
11×	`unpow2` `sqr-pow`
10×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
4×	`cbrt-unprod`
3×	`pow-unpow` `add-log-exp`
2×	`pow-prod-down` `log-pow` `*-commutative`
1×	`pow-pow`

Counts

3 → 96

Calls

3 calls:

7.0ms	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
7.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
2.0ms	(pow (log 0.5) 2)

series352.0ms

Counts

3 → 7

Calls

3 calls:

184.0ms	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
168.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
0.0ms	(pow (log 0.5) 2)

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	575
1	1133	485
2	5002	479

prune151.0ms

Filtered

103 candidates to 48 candidates (46.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0.6b

Counts

106 → 3

regimes218.0ms

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	32
1	52	32

end0.0ms

sample24.7s

Algorithm

intervals

Results

16.6s	2561×	body	5120	exit
5.5s	32787×	body	80	overflowed
818.0ms	38242×	pre	80	true
306.0ms	2800×	body	80	valid
38.0ms	18×	body	1280	valid
16.0ms	15×	body	640	valid
13.0ms	2×	body	5120	valid
10.0ms	3×	body	2560	valid
9.0ms	28×	body	160	valid
7.0ms	12×	body	320	valid
4.0ms	5×	body	320	overflowed
4.0ms	8×	body	160	overflowed
4.0ms	3×	body	640	overflowed

Details

sample2.2s

simplify27.0ms

prune5.0ms

localize25.0ms

rewrite86.0ms

series818.0ms

simplify116.0ms

prune409.0ms

localize8.0ms

rewrite5.0ms

series20.0ms

simplify76.0ms

prune34.0ms

localize27.0ms

rewrite68.0ms

series996.0ms

simplify115.0ms

prune406.0ms

localize13.0ms

rewrite20.0ms

series352.0ms

simplify41.0ms

prune151.0ms

regimes218.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample24.7s

Profiling