Details

sample55.0ms

Algorithm

intervals

Results

41.0ms

256×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2043
7	2043
6	1640
5	559
4	206
3	84
2	42
1	22
0	12

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (+ 1 t))
0.0b	(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ 2 (+ 1 t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
108×	`prod-diff`
107×	`add-cube-cbrt`
95×	`times-frac`
22×	`distribute-lft-out`
14×	`associate-/r/`
10×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv` `add-log-exp`
7×	`associate-/r*` `flip3-+` `flip-+`
6×	`fma-neg` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`rec-exp` `1-exp` `pow-flip` `inv-pow`

Counts

4 → 220

Calls

4 calls:

8.0ms	(/ 2 (+ 1 t))
4.0ms	(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
15.0ms	(- 2 (/ 2 (+ 1 t)))
18.0ms	(- 2 (/ 2 (+ 1 t)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 2 (+ 1 t))
100.0ms	(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
24.0ms	(- 2 (/ 2 (+ 1 t)))
24.0ms	(- 2 (/ 2 (+ 1 t)))

simplify1.6s

Counts

232 → 232

Iterations

Iter	Nodes
done	2016
3	2016
2	1871
1	665
0	270

prune2.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt 2) (/ (+ 1 t) (sqrt 2)))
0.7b	(/ (+ 1 t) (sqrt 2))
3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ (sqrt 2) (/ (+ 1 t) (sqrt 2))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

1343×	`times-frac`
1178×	`*-un-lft-identity`
873×	`add-sqr-sqrt`
842×	`add-cube-cbrt`
659×	`sqrt-prod`
573×	`prod-diff`
166×	`distribute-lft-out`
34×	`associate-/r*` `div-inv`
11×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
10×	`associate-/l*`
9×	`difference-of-squares`
8×	`add-log-exp`
6×	`fma-neg`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l/`
1×	`distribute-rgt-out--`

Counts

4 → 893

Calls

4 calls:

20.0ms	(/ (sqrt 2) (/ (+ 1 t) (sqrt 2)))
29.0ms	(/ (+ 1 t) (sqrt 2))
30.0ms	(- 2 (/ 2 (+ 1 t)))
50.0ms	(- 2 (/ (sqrt 2) (/ (+ 1 t) (sqrt 2))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (sqrt 2) (/ (+ 1 t) (sqrt 2)))
112.0ms	(/ (+ 1 t) (sqrt 2))
29.0ms	(- 2 (/ 2 (+ 1 t)))
113.0ms	(- 2 (/ (sqrt 2) (/ (+ 1 t) (sqrt 2))))

simplify2.4s

Counts

905 → 905

Iterations

Iter	Nodes
done	2000
1	2000
0	1138

prune13.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ 2 (+ 1 t)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

256×	`*-un-lft-identity`
216×	`prod-diff`
196×	`add-sqr-sqrt`
176×	`add-cube-cbrt`
148×	`times-frac`
36×	`distribute-lft-out`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `div-inv` `add-log-exp`
8×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--`

Counts

4 → 300

Calls

4 calls:

26.0ms	(- 2 (/ 2 (+ 1 t)))
26.0ms	(- 2 (/ 2 (+ 1 t)))
26.0ms	(- 2 (/ 2 (+ 1 t)))
38.0ms	(- 2 (/ 2 (+ 1 t)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- 2 (/ 2 (+ 1 t)))
33.0ms	(- 2 (/ 2 (+ 1 t)))
31.0ms	(- 2 (/ 2 (+ 1 t)))
44.0ms	(- 2 (/ 2 (+ 1 t)))

simplify1.4s

Counts

312 → 312

Iterations

Iter	Nodes
done	2006
3	2006
2	1421
1	484
0	188

prune4.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ 2 (+ 1 t)))
3.8b	(- 2 (/ 2 (+ 1 t)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

256×	`*-un-lft-identity`
216×	`prod-diff`
196×	`add-sqr-sqrt`
176×	`add-cube-cbrt`
148×	`times-frac`
36×	`distribute-lft-out`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `div-inv` `add-log-exp`
8×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--`

Counts

4 → 300

Calls

4 calls:

25.0ms	(- 2 (/ 2 (+ 1 t)))
18.0ms	(- 2 (/ 2 (+ 1 t)))
16.0ms	(- 2 (/ 2 (+ 1 t)))
22.0ms	(- 2 (/ 2 (+ 1 t)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 2 (/ 2 (+ 1 t)))
33.0ms	(- 2 (/ 2 (+ 1 t)))
23.0ms	(- 2 (/ 2 (+ 1 t)))
27.0ms	(- 2 (/ 2 (+ 1 t)))

simplify1.2s

Counts

312 → 312

Iterations

Iter	Nodes
done	2006
3	2006
2	1421
1	484
0	188

prune4.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8000×

body

valid