Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

278×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4733
20	4431
19	4132
18	3790
17	3489
16	3146
15	2840
14	2378
13	1801
12	1283
11	859
10	585
9	413
8	338
7	257
6	204
5	146
4	95
3	52
2	30
1	17
0	10

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.6b	(fma (/ y (- a t)) (- z t) x)

rewrite11.0ms

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:

9.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series275.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ y (- a t))
235.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1234
2	443
1	173
0	92

prune417.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.9b	(/ 1 (/ (- a t) y))
2.6b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite55.0ms

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:

27.0ms	(/ (- a t) y)
14.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series499.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- a t) y)
131.0ms	(/ 1 (/ (- a t) y))
325.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify2.2s

Counts

161 → 161

Iterations

Iter	Nodes
done	5002
3	3207
2	1138
1	510
0	210

prune821.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(/ (/ 1 (- a t)) (/ 1 y))
2.6b	(fma (/ (/ 1 (- a t)) (/ 1 y)) (- z t) x)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
385×	`add-sqr-sqrt` `*-un-lft-identity`
293×	`add-cube-cbrt`
47×	`add-exp-log`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
34×	`div-exp`
31×	`associate-/r/`
24×	`associate-/l*`
18×	`associate-/r*`
17×	`add-cbrt-cube`
15×	`flip3--` `flip--`
9×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`pow1`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`fma-udef` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 394

Calls

3 calls:

13.0ms	(/ 1 (- a t))
60.0ms	(/ (/ 1 (- a t)) (/ 1 y))
1.0ms	(fma (/ (/ 1 (- a t)) (/ 1 y)) (- z t) x)

series503.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ 1 (- a t))
113.0ms	(/ (/ 1 (- a t)) (/ 1 y))
309.0ms	(fma (/ (/ 1 (- a t)) (/ 1 y)) (- z t) x)

simplify3.2s

Counts

403 → 403

Iterations

Iter	Nodes
done	5003
2	3705
1	1713
0	550

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
2.6b	(fma (* (* (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y))) (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y)))) (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y)))) (- z t) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

10.0ms	(cbrt (/ 1 (- a t)))
9.0ms	(cbrt (/ 1 (- a t)))
6.0ms	(cbrt (/ 1 (- a t)))
1.0ms	(fma (* (* (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y))) (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y)))) (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y)))) (- z t) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (/ 1 (- a t)))
264.0ms	(cbrt (/ 1 (- a t)))
226.0ms	(cbrt (/ 1 (- a t)))
371.0ms	(fma (* (* (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y))) (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y)))) (/ (cbrt (/ 1 (- a t))) (cbrt (/ 1 y)))) (- z t) x)

simplify2.0s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	1449
2	522
1	257
0	144

prune1.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes948.0ms

Accuracy

86.6% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.3b

bsearch3.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	28
1	28
0	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

971.0ms	8776×	body	80	valid
0.0ms	1×	body	320	valid