Details

analyze4.8s

Algorithm: search

sample5.2s

Algorithm

intervals

Results

3.3s	450×	body	5120	exit
657.0ms	239×	body	1280	overflowed
471.0ms	2135×	body	80	overflowed
334.0ms	220×	body	640	overflowed
102.0ms	115×	body	320	overflowed
87.0ms	3466×	pre	80	true
38.0ms	247×	body	80	valid
24.0ms	50×	body	160	overflowed
11.0ms	1×	body	5120	valid
8.0ms	3×	body	1280	valid
2.0ms	2×	body	640	valid
1.0ms	1×	body	320	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	80	invalid

simplify25.0ms

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

prune6.0ms

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: 5.5b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (neg s))))
0.0b	(/ 1.0 (+ 1.0 (exp (neg s))))
1.7b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
3.2b	(/ (* (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)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

557×	`add-exp-log`
312×	`prod-exp`
262×	`pow-exp`
250×	`div-exp`
183×	`pow-to-exp`
53×	`*-un-lft-identity`
37×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`unpow-prod-down`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`associate-/l*`
6×	`cbrt-undiv` `associate-/r/`
5×	`pow1`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`pow-pow` `sqr-pow`

Counts

4 → 285

Calls

4 calls:

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

series206.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
5.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
181.0ms	(/ (* (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)))

simplify103.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	878	5964
1	2980	5707
2	5002	5707

prune310.0ms

Filtered

94 candidates to 297 candidates (-216.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	295	2	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	296	2	298

Merged error: 0.4b

Counts

298 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

8.0ms	(* 0.5 (* s c_n))
5.0ms	(* 0.5 (* s c_p))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* 0.5 (* s c_n))
6.0ms	(* 0.5 (* s c_p))

simplify80.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

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

prune39.0ms

Filtered

22 candidates to 42 candidates (-90.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.4b

Counts

44 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-exp-log`
88×	`prod-exp`
66×	`div-exp`
53×	`pow-exp`
41×	`pow-to-exp`
40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
22×	`add-cbrt-cube`
9×	`associate-/r*`
8×	`distribute-lft-out`
7×	`associate-/l*`
6×	`pow1` `cbrt-undiv` `associate-/r/`
5×	`cbrt-unprod`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num` `div-inv`
2×	`associate-r/` `associate-l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 159

Calls

4 calls:

5.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
5.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
5.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
36.0ms	(/ (* (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)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
5.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
13.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
205.0ms	(/ (* (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)))

simplify98.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	796	2839
1	3731	2575
2	5001	2575

prune365.0ms

Filtered

87 candidates to 171 candidates (-96.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	170	3	173

Merged error: 0.4b

Counts

173 → 3

localize13.0ms

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)

rewrite27.0ms

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

series35.0ms

Counts

4 → 10

Calls

4 calls:

16.0ms	(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
3.0ms	(* 0.5 (* s c_p))
15.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
0.0ms	(pow (log 0.5) 2)

simplify49.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (40.0ms)

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

prune145.0ms

Filtered

59 candidates to 124 candidates (-110.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0.4b

Counts

127 → 3

regimes435.0ms

bsearch7.6s

Steps

Iters	Range		Point
10	-14430.23154613929	-3.126682802182111e-08	-0.18107844793977768

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	31
1	52	31

end0.0ms

analyze4.5s

Algorithm: search

sample7.3s

Algorithm

intervals

Results

4.7s	672×	body	5120	exit
944.0ms	366×	body	1280	overflowed
658.0ms	3141×	body	80	overflowed
457.0ms	324×	body	640	overflowed
144.0ms	172×	body	320	overflowed
118.0ms	5127×	pre	80	true
46.0ms	349×	body	80	valid
38.0ms	85×	body	160	overflowed
8.0ms	3×	body	1280	valid
6.0ms	1×	body	5120	valid
4.0ms	4×	body	640	valid
3.0ms	1×	body	2560	valid
2.0ms	6×	body	160	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	80	invalid

Details

analyze4.8s

sample5.2s

simplify25.0ms

prune6.0ms

localize23.0ms

rewrite82.0ms

series206.0ms

simplify103.0ms

prune310.0ms

localize8.0ms

rewrite15.0ms

series12.0ms

simplify80.0ms

prune39.0ms

localize27.0ms

rewrite59.0ms

series228.0ms

simplify98.0ms

prune365.0ms

localize13.0ms

rewrite27.0ms

series35.0ms

simplify49.0ms

prune145.0ms

regimes435.0ms

bsearch7.6s

simplify1.0ms

end0.0ms

analyze4.5s

sample7.3s

Profiling