Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	12	8
done	12	8

prune3.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

5.0ms	(+ (exp x) (exp (neg x)))
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp x) (exp (neg x)))
9.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify1.0s

Counts

51 → 51

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	90	649
1	195	621
2	438	570
3	1143	566
4	3109	566
done	5001	566

prune74.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0.0b

Counts

52 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.0b	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b	(sqrt (+ (exp x) (exp (neg x))))
0.2b	(sqrt (+ (exp x) (exp (neg x))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-prod`
98×	`*-un-lft-identity`
84×	`times-frac`
68×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
16×	`distribute-lft-out`
14×	`associate-/r*`
12×	`associate-/l*`
8×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
6×	`pow1`
4×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `div-inv`

Counts

4 → 172

Calls

4 calls:

9.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
9.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms	(sqrt (+ (exp x) (exp (neg x))))
6.0ms	(sqrt (+ (exp x) (exp (neg x))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
17.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
7.0ms	(sqrt (+ (exp x) (exp (neg x))))
7.0ms	(sqrt (+ (exp x) (exp (neg x))))

simplify577.0ms

Counts

184 → 184

Iterations

Useful iterations: done (571.0ms)

Iter	Nodes	Cost
0	155	3324
1	297	3002
2	779	2870
3	2298	2822
done	5000	2818

prune235.0ms

Filtered

106 candidates to 184 candidates (-73.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	184	4	188

Merged error: 0b

Counts

188 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b	(sqrt (+ (exp x) (exp (neg x))))
0.2b	(sqrt (+ (exp x) (exp (neg x))))
0.3b	(cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

150×	`sqrt-prod`
133×	`*-un-lft-identity`
126×	`times-frac`
102×	`cbrt-prod`
93×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
48×	`unpow-prod-down` `cube-prod`
21×	`distribute-lft-out`
10×	`sqrt-div`
7×	`associate-/r*`
6×	`pow1` `add-exp-log` `associate-/r/` `add-cbrt-cube` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `cube-div` `cube-mult` `cbrt-div` `sqrt-undiv` `frac-2neg` `pow1/3` `unpow3` `div-exp` `clear-num` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 214

Calls

4 calls:

10.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms	(sqrt (+ (exp x) (exp (neg x))))
6.0ms	(sqrt (+ (exp x) (exp (neg x))))
20.0ms	(cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))

series48.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
7.0ms	(sqrt (+ (exp x) (exp (neg x))))
7.0ms	(sqrt (+ (exp x) (exp (neg x))))
17.0ms	(cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))

simplify504.0ms

Counts

226 → 226

Iterations

Useful iterations: done (491.0ms)

Iter	Nodes	Cost
0	272	5140
1	723	4098
2	2208	3858
done	5001	3659

prune256.0ms

Filtered

96 candidates to 226 candidates (-135.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	226	4	230

Merged error: 0b

Counts

230 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b	(sqrt (+ (exp x) (exp (neg x))))
0.2b	(sqrt (+ (exp x) (exp (neg x))))
0.5b	(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

172×	`sqrt-prod`
118×	`*-un-lft-identity`
105×	`times-frac`
82×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
19×	`distribute-lft-out`
16×	`associate-/r*`
13×	`associate-/l*`
8×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
6×	`pow1`
4×	`flip3-+` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `associate-/r/` `div-inv` `associate-/l/`

Counts

4 → 196

Calls

4 calls:

10.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms	(sqrt (+ (exp x) (exp (neg x))))
5.0ms	(sqrt (+ (exp x) (exp (neg x))))
12.0ms	(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
11.0ms	(sqrt (+ (exp x) (exp (neg x))))
8.0ms	(sqrt (+ (exp x) (exp (neg x))))
14.0ms	(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

simplify1.0s

Counts

208 → 208

Iterations

Useful iterations: 3 (394.0ms)

Iter	Nodes	Cost
0	250	4028
1	461	3636
2	1358	3495
3	4654	3429
done	5000	3429

prune334.0ms

Filtered

111 candidates to 208 candidates (-87.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	208	4	212

Merged error: 0b

Counts

212 → 4

regimes114.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample387.0ms

Algorithm

intervals

Results

237.0ms

8000×

body

valid

Details

sample15.0ms

simplify4.0ms

prune3.0ms

localize11.0ms

rewrite14.0ms

series13.0ms

simplify1.0s

prune74.0ms

localize10.0ms

rewrite37.0ms

series52.0ms

simplify577.0ms

prune235.0ms

localize13.0ms

rewrite53.0ms

series48.0ms

simplify504.0ms

prune256.0ms

localize13.0ms

rewrite42.0ms

series49.0ms

simplify1.0s

prune334.0ms

regimes114.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample387.0ms

Profiling