Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	40	5
6	61	5
7	143	5
8	1357	5
9	5001	5

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/ 2.0 (+ (exp x) (exp (neg x))))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/ 2.0 (+ (exp x) (exp (neg x))))

simplify70.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	164	311
1	550	289
2	2149	287
3	5002	287

prune43.0ms

Filtered

36 candidates to 27 candidates (25.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (/ 2.0 (+ (exp x) (exp (neg x)))))
0.0b	(log (exp (/ 2.0 (+ (exp x) (exp (neg x))))))
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
10×	`distribute-lft-out`
6×	`associate-/r/`
5×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`log-prod` `flip3-+` `flip-+` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

3 → 89

Calls

3 calls:

9.0ms	(exp (/ 2.0 (+ (exp x) (exp (neg x)))))
8.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (neg x))))))
7.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

series31.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(exp (/ 2.0 (+ (exp x) (exp (neg x)))))
8.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (neg x))))))
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	243	759
1	698	704
2	2501	699
3	5001	698

prune114.0ms

Filtered

98 candidates to 70 candidates (28.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Merged error: 0b

Counts

100 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (pow x 2))
0.0b	(* 0.20833333333333334 (pow x 4))
11.0b	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

3 → 66

Calls

3 calls:

5.0ms	(* 0.5 (pow x 2))
5.0ms	(* 0.20833333333333334 (pow x 4))
7.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

series14.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 0.5 (pow x 2))
6.0ms	(* 0.20833333333333334 (pow x 4))
5.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

simplify39.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	352
1	1102	317
2	5002	314

prune93.0ms

Filtered

75 candidates to 46 candidates (38.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	75	2	77

Merged error: 0b

Counts

77 → 2

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample343.0ms

Algorithm

intervals

Results

224.0ms

8000×

body

valid

Details

sample14.0ms

simplify134.0ms

prune2.0ms

localize6.0ms

rewrite7.0ms

series9.0ms

simplify70.0ms

prune43.0ms

localize9.0ms

rewrite26.0ms

series31.0ms

simplify86.0ms

prune114.0ms

localize9.0ms

rewrite18.0ms

series14.0ms

simplify39.0ms

prune93.0ms

regimes77.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample343.0ms

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