Details

sample22.0s

Algorithm

intervals

sampling

Space saved by range analysis: 75%

Space saved by search: 75%

Guaranteed chance to sample good point: 6.25%

Results

3.5s	514×	body	5120	exit
838.0ms	313×	body	1280	overflowed
479.0ms	2312×	body	80	overflowed
389.0ms	271×	body	640	overflowed
100.0ms	3845×	pre	80	true
98.0ms	123×	body	320	overflowed
32.0ms	244×	body	80	valid
25.0ms	56×	body	160	overflowed
5.0ms	4×	body	640	valid
2.0ms	3×	body	320	valid
2.0ms	1×	body	1280	valid
2.0ms	4×	body	160	valid

simplify24.0ms

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: 6.4b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ 1.0 (exp (neg s))))
0.3b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
2.4b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
2.7b	(/ (* (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)))

rewrite75.0ms

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 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)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
193.0ms	(/ (* (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)))

simplify100.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (17.0ms)

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

prune360.0ms

Filtered

91 candidates to 297 candidates (-226.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	291	6	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	292	6	298

Merged error: 1.3b

Counts

298 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

3 → 50

Calls

3 calls:

7.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
4.0ms	(* 0.5 (* s c_n))
4.0ms	(* 0.5 (* s c_p))

series17.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
3.0ms	(* 0.5 (* s c_n))
4.0ms	(* 0.5 (* s c_p))

simplify138.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	228	292
1	900	254
2	4892	245
3	5001	245

prune93.0ms

Filtered

34 candidates to 59 candidates (-73.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	58	7	65

Merged error: 1.3b

Counts

65 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
25.7b	(cbrt (* 0.5 (* s c_n)))
25.7b	(cbrt (* 0.5 (* s c_n)))
25.7b	(cbrt (* 0.5 (* s c_n)))

rewrite16.0ms

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

series83.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
18.0ms	(cbrt (* 0.5 (* s c_n)))
18.0ms	(cbrt (* 0.5 (* s c_n)))
20.0ms	(cbrt (* 0.5 (* s c_n)))

simplify103.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (97.0ms)

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

prune163.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	70	7	77

Merged error: 1.3b

Counts

77 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

25.7b	(cbrt (* 0.5 (* s c_n)))
25.7b	(cbrt (* 0.5 (* s c_n)))
25.7b	(cbrt (* 0.5 (* s c_n)))
25.7b	(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)))
3.0ms	(cbrt (* 0.5 (* s c_n)))
3.0ms	(cbrt (* 0.5 (* s c_n)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (* 0.5 (* s c_n)))
17.0ms	(cbrt (* 0.5 (* s c_n)))
18.0ms	(cbrt (* 0.5 (* s c_n)))
18.0ms	(cbrt (* 0.5 (* s c_n)))

simplify56.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (14.0ms)

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

prune164.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Merged error: 1.3b

Counts

55 → 7

regimes1.6s

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	60
1	60	60

end0.0ms

sample29.2s

Algorithm

intervals

sampling

Space saved by range analysis: 75%

Space saved by search: 75%

Guaranteed chance to sample good point: 6.25%

Results

8.3s	1240×	body	5120	exit
1.9s	726×	body	1280	overflowed
1.1s	5472×	body	80	overflowed
861.0ms	611×	body	640	overflowed
254.0ms	313×	body	320	overflowed
217.0ms	9116×	pre	80	true
77.0ms	570×	body	80	valid
69.0ms	156×	body	160	overflowed
14.0ms	6×	body	1280	valid
14.0ms	2×	body	5120	valid
6.0ms	5×	body	640	valid
4.0ms	6×	body	320	valid
3.0ms	8×	body	160	valid
0.0ms	1×	body	80	invalid

Details

sample22.0s

simplify24.0ms

prune6.0ms

localize22.0ms

rewrite75.0ms

series231.0ms

simplify100.0ms

prune360.0ms

localize8.0ms

rewrite17.0ms

series17.0ms

simplify138.0ms

prune93.0ms

localize12.0ms

rewrite16.0ms

series83.0ms

simplify103.0ms

prune163.0ms

localize18.0ms

rewrite15.0ms

series71.0ms

simplify56.0ms

prune164.0ms

regimes1.6s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample29.2s

Profiling