Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	235×	body	80	valid
2.0ms	12×	body	640	valid
2.0ms	16×	body	320	valid
2.0ms	8×	body	1280	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	2560	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3757
7	2046
6	989
5	406
4	195
3	103
2	50
1	22
0	11

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
11.7b	(fma (- t z) (/ y (- a t)) (+ x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 49

Calls

2 calls:

18.0ms	(/ y (- a t))
1.0ms	(fma (- t z) (/ y (- a t)) (+ x y))

series230.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ y (- a t))
183.0ms	(fma (- t z) (/ y (- a t)) (+ x y))

simplify1.7s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1426
2	444
1	174
0	92

prune434.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.6b	(/ 1 (/ (- a t) y))
11.6b	(fma (- t z) (/ 1 (/ (- a t) y)) (+ x y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

3 → 152

Calls

3 calls:

22.0ms	(/ (- a t) y)
14.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (- t z) (/ 1 (/ (- a t) y)) (+ x y))

series484.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- a t) y)
118.0ms	(/ 1 (/ (- a t) y))
323.0ms	(fma (- t z) (/ 1 (/ (- a t) y)) (+ x y))

simplify2.5s

Counts

161 → 161

Iterations

Iter	Nodes
done	5056
3	4021
2	1355
1	511
0	210

prune781.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ 1 (- a t)) (/ 1 y))
11.6b	(fma (- t z) (/ (/ 1 (- a t)) (/ 1 y)) (+ x y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

681×	`times-frac`
366×	`add-sqr-sqrt` `*-un-lft-identity`
282×	`add-cube-cbrt`
42×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
37×	`div-inv`
32×	`div-exp`
29×	`associate-/r/`
21×	`associate-/l*`
14×	`flip3--` `add-cbrt-cube` `flip--`
13×	`associate-/r*`
8×	`cbrt-undiv` `rec-exp` `1-exp`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `fma-udef` `associate-/l/`

Counts

2 → 351

Calls

2 calls:

47.0ms	(/ (/ 1 (- a t)) (/ 1 y))
0.0ms	(fma (- t z) (/ (/ 1 (- a t)) (/ 1 y)) (+ x y))

series431.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (/ 1 (- a t)) (/ 1 y))
338.0ms	(fma (- t z) (/ (/ 1 (- a t)) (/ 1 y)) (+ x y))

simplify2.9s

Counts

357 → 357

Iterations

Iter	Nodes
done	5002
2	3151
1	1665
0	542

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.6b	(/ (/ 1 1) (/ (- a t) y))
11.6b	(fma (- t z) (/ (/ 1 1) (/ (- a t) y)) (+ x y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
371×	`add-sqr-sqrt` `*-un-lft-identity`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`add-exp-log`
36×	`div-inv`
30×	`div-exp`
22×	`associate-/r*`
18×	`associate-/l*`
17×	`add-cbrt-cube`
10×	`1-exp`
9×	`cbrt-undiv`
4×	`rec-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `flip--`

Counts

3 → 361

Calls

3 calls:

20.0ms	(/ (- a t) y)
22.0ms	(/ (/ 1 1) (/ (- a t) y))
0.0ms	(fma (- t z) (/ (/ 1 1) (/ (- a t) y)) (+ x y))

series509.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- a t) y)
134.0ms	(/ (/ 1 1) (/ (- a t) y))
330.0ms	(fma (- t z) (/ (/ 1 1) (/ (- a t) y)) (+ x y))

simplify2.1s

Counts

370 → 370

Iterations

Iter	Nodes
done	5001
2	2716
1	1527
0	514

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.9b

regimes666.0ms

Accuracy

46.6% (4.7b remaining)

Error of 8.0b against oracle of 3.2b and baseline of 12.1b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
1	35
0	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

568.0ms	7349×	body	80	valid
452.0ms	437×	body	640	valid
73.0ms	397×	body	320	valid
59.0ms	262×	body	1280	valid
26.0ms	259×	body	160	valid
4.0ms	15×	body	2560	valid