Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	46	33
3	119	33
4	313	33
5	564	33
6	766	33
7	1019	33
8	1447	33
done	5000	33

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `fma-udef` `div-inv` `distribute-lft-out`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 76

Calls

4 calls:

36.0ms	(/ (* 2.0 t) (+ 1.0 t))
5.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
0.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
0.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

series498.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* 2.0 t) (+ 1.0 t))
203.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
122.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
122.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

simplify3.3s

Counts

88 → 88

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	155	2366
1	353	2331
2	1057	2070
3	3818	2066
done	5002	2055

prune351.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (+ 1.0 t))
0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (/ t (+ 1.0 t))) 2.0))
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (/ t (+ 1.0 t))) 2.0)
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `fma-udef` `div-inv`
1×	`flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

17.0ms	(/ t (+ 1.0 t))
5.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (/ t (+ 1.0 t))) 2.0))
0.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (/ t (+ 1.0 t))) 2.0)
0.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

series532.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ t (+ 1.0 t))
266.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (/ t (+ 1.0 t))) 2.0))
114.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (/ t (+ 1.0 t))) 2.0)
115.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

simplify1.8s

Counts

96 → 96

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	162	2415
1	338	2374
2	869	2134
3	2225	2130
done	5000	2119

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
0.0b	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

7.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
18.0ms	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))
1.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
1.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

series766.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
287.0ms	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))
105.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
122.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

simplify2.6s

Counts

139 → 139

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	207	6523
1	441	6295
2	981	5770
3	2682	5748
done	5000	5736

prune422.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (+ (/ (* 2.0 t) (/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t)))) 1.0)))
0.0b	(/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
0.1b	(/ (* 2.0 t) (/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t))))

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

319×	`times-frac`
226×	`*-un-lft-identity`
114×	`add-sqr-sqrt` `add-cube-cbrt`
73×	`associate-/r*`
56×	`add-exp-log` `distribute-lft-out`
50×	`add-cbrt-cube`
39×	`associate-/r/`
30×	`div-exp`
26×	`cbrt-undiv`
22×	`div-inv`
18×	`flip3-+` `flip-+`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

4 → 303

Calls

4 calls:

268.0ms	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (+ (/ (* 2.0 t) (/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t)))) 1.0)))
62.0ms	(/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t)))
1.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
78.0ms	(/ (* 2.0 t) (/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (+ (/ (* 2.0 t) (/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t)))) 1.0)))
70.0ms	(/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t)))
108.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
70.0ms	(/ (* 2.0 t) (/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t))))

simplify2.6s

Counts

315 → 315

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	461	10305
1	1113	9734
2	4081	8732
done	5001	8636

prune948.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	14	33
done	14	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

8000×

body

valid