Details

analyze4.4s

Algorithm: search

sample5.8s

Algorithm

intervals

Results

3.9s	555×	body	5120	exit
712.0ms	276×	body	1280	overflowed
444.0ms	2137×	body	80	overflowed
374.0ms	269×	body	640	overflowed
96.0ms	118×	body	320	overflowed
93.0ms	3663×	pre	80	true
32.0ms	250×	body	80	valid
22.0ms	52×	body	160	overflowed
8.0ms	1×	body	5120	valid
2.0ms	2×	body	640	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	320	valid

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: 3.7b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.2b	(/ (* (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)))

rewrite83.0ms

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:

9.0ms	(- 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)
41.0ms	(/ (* (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)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
186.0ms	(/ (* (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)))

simplify105.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (17.0ms)

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

prune274.0ms

Filtered

79 candidates to 279 candidates (-253.2%)

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: 0b

Counts

280 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

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_p))
4.0ms	(* 0.5 (* s c_n))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

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

prune37.0ms

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: 0b

Counts

44 → 2

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.5b	(/ (* (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)))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)

rewrite63.0ms

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:

9.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
5.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
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)))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)

series249.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
11.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
213.0ms	(/ (* (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)))
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)

simplify107.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	920	2823
1	4064	2572
2	5002	2572

prune244.0ms

Filtered

72 candidates to 153 candidates (-112.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	153	2	155

Merged error: 0b

Counts

155 → 2

regimes371.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	18	6

end0.0ms

analyze4.2s

Algorithm: search

sample54.2s

Algorithm

intervals

Results

35.8s	5225×	body	5120	exit
7.2s	2853×	body	1280	overflowed
4.3s	21965×	body	80	overflowed
3.3s	2428×	body	640	overflowed
967.0ms	1242×	body	320	overflowed
844.0ms	36939×	pre	80	true
310.0ms	2536×	body	80	valid
262.0ms	603×	body	160	overflowed
50.0ms	2×	body	5120	valid
28.0ms	13×	body	1280	valid
16.0ms	5×	body	2560	valid
14.0ms	13×	body	640	valid
13.0ms	39×	body	160	valid
6.0ms	10×	body	320	valid
1.0ms	5×	body	80	invalid

Details

analyze4.4s

sample5.8s

simplify25.0ms

prune6.0ms

localize22.0ms

rewrite83.0ms

series225.0ms

simplify105.0ms

prune274.0ms

localize8.0ms

rewrite10.0ms

series9.0ms

simplify57.0ms

prune37.0ms

localize30.0ms

rewrite63.0ms

series249.0ms

simplify107.0ms

prune244.0ms

regimes371.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.2s

sample54.2s

Profiling