Details

sample6.2s

Algorithm

intervals

Results

3.9s	544×	body	5120	exit
860.0ms	321×	body	1280	overflowed
499.0ms	2374×	body	80	overflowed
402.0ms	286×	body	640	overflowed
108.0ms	127×	body	320	overflowed
91.0ms	3964×	pre	80	true
33.0ms	249×	body	80	valid
26.0ms	56×	body	160	overflowed
5.0ms	2×	body	1280	valid
4.0ms	3×	body	640	valid
1.0ms	2×	body	160	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5522	43

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 7.0b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
3.7b	(/ (* (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)))

rewrite87.0ms

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 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)
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)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
183.0ms	(/ (* (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)))

simplify83.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5177	9451

prune282.0ms

Filtered

75 candidates to 279 candidates (-272.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	275	4	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	4	280

Merged error: 0.1b

Counts

280 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* s 0.5) (- c_p c_n))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (* s 0.5) (- c_p c_n))

simplify40.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5135	242

prune39.0ms

Filtered

16 candidates to 29 candidates (-81.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.1b

Counts

33 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
2.2b	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
9.2b	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))
9.2b	(- (log (/ 1.0 (+ 1.0 (exp (neg s))))) (log (/ 1.0 (+ 1.0 (exp (neg t))))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

84×	`log-prod`
74×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
50×	`times-frac`
38×	`add-cube-cbrt`
24×	`associate--l+` `associate--r+`
14×	`pow1`
12×	`distribute-lft-out`
10×	`add-exp-log` `log-pow` `distribute-lft-out--`
8×	`log-div` `associate-/r/`
6×	`difference-of-squares`
4×	`flip3--` `flip3-+` `rem-log-exp` `add-cbrt-cube` `flip--` `flip-+` `div-inv` `add-log-exp`
3×	`associate--l-` `associate--r-`
2×	`sub-neg` `diff-log` `div-exp`

Counts

4 → 146

Calls

4 calls:

6.0ms	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
5.0ms	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
21.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))
14.0ms	(- (log (/ 1.0 (+ 1.0 (exp (neg s))))) (log (/ 1.0 (+ 1.0 (exp (neg t))))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(log (/ 1.0 (+ 1.0 (exp (neg s)))))
15.0ms	(log (/ 1.0 (+ 1.0 (exp (neg t)))))
31.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))
29.0ms	(- (log (/ 1.0 (+ 1.0 (exp (neg s))))) (log (/ 1.0 (+ 1.0 (exp (neg t))))))

simplify82.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5096	2710

prune502.0ms

Filtered

114 candidates to 158 candidates (-38.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	160	2	162

Merged error: 0.0b

Counts

162 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.4b	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))))
9.2b	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
24×	`log-prod`
22×	`*-un-lft-identity`
11×	`difference-of-squares`
10×	`pow1`
9×	`distribute-lft-out--`
8×	`add-cube-cbrt` `log-div`
6×	`add-exp-log` `flip3--` `associate--l+` `log-pow` `flip--` `associate--r+` `add-log-exp`
5×	`times-frac`
4×	`add-cbrt-cube`
2×	`associate--l-` `sub-neg` `diff-log` `rem-log-exp` `associate--r-`

Counts

4 → 82

Calls

4 calls:

9.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))))
9.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
9.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))))
22.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))))
8.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
18.0ms	(log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))))
35.0ms	(- (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))) (log (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))))

simplify51.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5004	1782

prune213.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	94	2	96

Merged error: 0.0b

Counts

96 → 2

regimes204.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	38
1	37	38

end0.0ms

sample59.4s

Algorithm

intervals

Results

38.2s	5604×	body	5120	exit
7.9s	3134×	body	1280	overflowed
4.8s	24353×	body	80	overflowed
3.8s	2801×	body	640	overflowed
1.1s	1357×	body	320	overflowed
859.0ms	40711×	pre	80	true
351.0ms	2704×	body	80	valid
294.0ms	681×	body	160	overflowed
34.0ms	6×	body	2560	valid
29.0ms	12×	body	1280	valid
19.0ms	16×	body	640	valid
13.0ms	38×	body	160	valid
3.0ms	5×	body	320	valid

Details

sample6.2s

simplify61.0ms

prune11.0ms

localize22.0ms

rewrite87.0ms

series220.0ms

simplify83.0ms

prune282.0ms

localize8.0ms

rewrite8.0ms

series9.0ms

simplify40.0ms

prune39.0ms

localize30.0ms

rewrite53.0ms

series90.0ms

simplify82.0ms

prune502.0ms

localize32.0ms

rewrite52.0ms

series80.0ms

simplify51.0ms

prune213.0ms

regimes204.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample59.4s

Profiling