Details

sample2.2s

Algorithm

intervals

Results

1.4s	197×	body	5120	exit
548.0ms	2957×	body	80	overflowed
80.0ms	3411×	pre	80	true
32.0ms	251×	body	80	valid
2.0ms	1×	body	1280	valid
2.0ms	2×	body	640	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	160	overflowed

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 3.7b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
1.7b	(/ (* (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)))

rewrite79.0ms

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

series220.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
182.0ms	(/ (* (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)))

simplify111.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (20.0ms)

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

prune274.0ms

Filtered

279 candidates to 79 candidates (71.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	3	280

Merged error: 0.5b

Counts

280 → 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))

rewrite12.0ms

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))
7.0ms	(* 0.5 (* s c_p))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 0.5 (* s c_n))
3.0ms	(* 0.5 (* s c_p))

simplify59.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

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

prune49.0ms

Filtered

42 candidates to 22 candidates (47.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Merged error: 0.5b

Counts

45 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
24.7b	(cbrt (* 0.5 (* s c_n)))
24.7b	(cbrt (* 0.5 (* s c_n)))
24.7b	(cbrt (* 0.5 (* s c_n)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
3.0ms	(cbrt (* 0.5 (* s c_n)))
3.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
16.0ms	(cbrt (* 0.5 (* s c_n)))
17.0ms	(cbrt (* 0.5 (* s c_n)))
17.0ms	(cbrt (* 0.5 (* s c_n)))

simplify109.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	206	465
1	729	414
2	3912	363
3	5001	358

prune138.0ms

Filtered

70 candidates to 52 candidates (25.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.5b

Counts

73 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

24.7b	(cbrt (* 0.5 (* s c_n)))
24.7b	(cbrt (* 0.5 (* s c_n)))
24.7b	(cbrt (* 0.5 (* s c_n)))
24.7b	(cbrt (* 0.5 (* s c_n)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

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

series65.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt (* 0.5 (* s c_n)))
16.0ms	(cbrt (* 0.5 (* s c_n)))
16.0ms	(cbrt (* 0.5 (* s c_n)))
16.0ms	(cbrt (* 0.5 (* s c_n)))

simplify62.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	88	296
1	198	268
2	597	252
3	1797	220
4	5001	220

prune164.0ms

Filtered

48 candidates to 40 candidates (16.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0.5b

Counts

51 → 3

regimes736.0ms

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	60
1	60	60

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.9s	719×	body	5120	exit
1.8s	9806×	body	80	overflowed
259.0ms	11332×	pre	80	true
99.0ms	781×	body	80	valid
14.0ms	2×	body	5120	valid
7.0ms	2×	body	2560	valid
6.0ms	3×	body	1280	valid
4.0ms	4×	body	640	valid
3.0ms	7×	body	160	valid
1.0ms	3×	body	160	overflowed
1.0ms	2×	body	320	overflowed
1.0ms	1×	body	640	overflowed
1.0ms	2×	body	320	valid

Details

sample2.2s

simplify27.0ms

prune6.0ms

localize22.0ms

rewrite79.0ms

series220.0ms

simplify111.0ms

prune274.0ms

localize8.0ms

rewrite12.0ms

series7.0ms

simplify59.0ms

prune49.0ms

localize13.0ms

rewrite17.0ms

series78.0ms

simplify109.0ms

prune138.0ms

localize19.0ms

rewrite15.0ms

series65.0ms

simplify62.0ms

prune164.0ms

regimes736.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample7.7s

Profiling