Details

sample2.4s

Algorithm

intervals

Results

1.6s	236×	body	5120	exit
527.0ms	3173×	body	80	overflowed
89.0ms	3667×	pre	80	true
27.0ms	248×	body	80	valid
7.0ms	1×	body	5120	valid
5.0ms	2×	body	1280	valid
3.0ms	1×	body	2560	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	160	overflowed
1.0ms	2×	body	160	valid
1.0ms	1×	body	320	valid

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

prune4.0ms

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: 8.0b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (neg t))))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
2.2b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
4.2b	(/ (* (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)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

558×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
250×	`div-exp`
184×	`pow-to-exp`
51×	`*-un-lft-identity`
37×	`times-frac`
36×	`unpow-prod-down`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-cbrt-cube`
10×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `associate-/r/`
5×	`cbrt-undiv` `associate-/r*`
4×	`cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 285

Calls

4 calls:

5.0ms	(/ 1.0 (+ 1.0 (exp (neg t))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
38.0ms	(/ (* (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)))

series777.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1.0 (+ 1.0 (exp (neg t))))
67.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
606.0ms	(/ (* (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)))

simplify109.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	972	6045
1	3266	5797
2	5003	5797

prune465.0ms

Filtered

297 candidates to 91 candidates (30.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	294	3	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	295	3	298

Merged error: 0.7b

Counts

298 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 36

Calls

2 calls:

4.0ms	(* 0.5 (* s c_n))
5.0ms	(* 0.5 (* s c_p))

series38.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 0.5 (* s c_n))
19.0ms	(* 0.5 (* s c_p))

simplify62.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	153	142
1	595	112
2	2373	112
3	5002	112

prune61.0ms

Filtered

42 candidates to 22 candidates (52.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	40	5	45

Merged error: 0.7b

Counts

45 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (neg t))))
0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
2.4b	(/ (* (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)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

173×	`add-exp-log`
88×	`prod-exp`
66×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
38×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`unpow-prod-down`
7×	`pow1` `distribute-lft-out`
6×	`associate-/r/`
5×	`cbrt-undiv` `associate-/r*` `cbrt-unprod`
4×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow-prod-down` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 159

Calls

4 calls:

8.0ms	(/ 1.0 (+ 1.0 (exp (neg t))))
5.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
35.0ms	(/ (* (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)))

series946.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (+ 1.0 (exp (neg t))))
103.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
744.0ms	(/ (* (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)))

simplify119.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	963	2920
1	4334	2665
2	5001	2665

prune485.0ms

Filtered

171 candidates to 86 candidates (50.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	172	4	176

Merged error: 0.7b

Counts

176 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
31×	`prod-exp`
28×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`add-cbrt-cube` `unswap-sqr`
15×	`associate-l`
14×	`pow1`
13×	`pow-to-exp` `pow-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow2` `sqr-pow`
10×	`associate-r`
7×	`cbrt-unprod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`log-pow`
1×	`pow-pow`

Counts

4 → 114

Calls

4 calls:

7.0ms	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
5.0ms	(* 0.5 (* s c_p))
7.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
2.0ms	(pow (log 0.5) 2)

series377.0ms

Counts

4 → 10

Calls

4 calls:

190.0ms	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
19.0ms	(* 0.5 (* s c_p))
167.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
0.0ms	(pow (log 0.5) 2)

simplify48.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	343	646
1	1473	541
2	5001	535

prune178.0ms

Filtered

124 candidates to 59 candidates (47.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	124	4	128

Merged error: 0.7b

Counts

128 → 4

regimes511.0ms

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	32
1	52	32

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.8s	533×	body	5120	exit
1.2s	6945×	body	80	overflowed
188.0ms	8047×	pre	80	true
62.0ms	554×	body	80	valid
10.0ms	2×	body	2560	valid
7.0ms	1×	body	5120	valid
5.0ms	2×	body	1280	valid
2.0ms	4×	body	160	overflowed
1.0ms	1×	body	640	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	320	overflowed
0.0ms	1×	body	320	valid

Details

sample2.4s

simplify27.0ms

prune4.0ms

localize24.0ms

rewrite80.0ms

series777.0ms

simplify109.0ms

prune465.0ms

localize8.0ms

rewrite10.0ms

series38.0ms

simplify62.0ms

prune61.0ms

localize26.0ms

rewrite61.0ms

series946.0ms

simplify119.0ms

prune485.0ms

localize12.0ms

rewrite25.0ms

series377.0ms

simplify48.0ms

prune178.0ms

regimes511.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample5.5s

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