Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify6.0s

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

prune5.0ms

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)

rewrite34.0ms

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:

25.0ms	(/ (* 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)

series540.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (* 2.0 t) (+ 1.0 t))
236.0ms	(/ (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))
119.0ms	(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)

simplify3.2s

Counts

88 → 88

Iterations

Useful iterations: done (3.2s)

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

prune322.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

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

rewrite40.0ms

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:

30.0ms	(/ (* 2.0 t) (+ 1.0 t))
6.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (* 1 (/ (* 2.0 t) (+ 1.0 t))) 2.0))
0.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (* 1 (/ (* 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)

series550.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (* 2.0 t) (+ 1.0 t))
282.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (* 1 (/ (* 2.0 t) (+ 1.0 t))) 2.0))
97.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (* 1 (/ (* 2.0 t) (+ 1.0 t))) 2.0)
119.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

simplify3.4s

Counts

88 → 88

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	157	2478
1	359	2331
2	1094	2070
3	4266	2066
done	5001	2055

prune355.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)

rewrite22.0ms

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:

5.0ms	(/ (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))
11.0ms	(/ 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)))
0.0ms	(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)

series715.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(/ (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))
243.0ms	(/ 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)))
110.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
101.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

simplify2.4s

Counts

139 → 139

Iterations

Useful iterations: done (2.4s)

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

prune426.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

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))))

rewrite471.0ms

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:

299.0ms	(/ 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)))
64.0ms	(/ (+ 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))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ 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)))
69.0ms	(/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t)))
106.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
52.0ms	(/ (* 2.0 t) (/ (+ 1.0 t) (/ (* 2.0 t) (+ 1.0 t))))

simplify2.8s

Counts

315 → 315

Iterations

Useful iterations: done (2.8s)

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

prune926.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	11	35
1	16	33
done	16	33

end0.0ms

sample866.0ms

Algorithm

intervals

Results

653.0ms

8000×

body

valid