Details

sample44.0ms

Algorithm

intervals

Results

19.0ms	255×	body	80	valid
6.0ms	21×	body	640	valid
3.0ms	13×	body	320	valid
2.0ms	5×	body	1280	valid
1.0ms	4×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1890
5	788
4	299
3	108
2	43
1	20
0	11

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.8b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

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

series247.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ (- z t) (- a t))
158.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2168
2	680
1	274
0	118

prune372.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ t (- a t))
2.8b	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

694×	`*-un-lft-identity`
684×	`add-sqr-sqrt`
678×	`times-frac`
441×	`prod-diff`
402×	`add-cube-cbrt`
145×	`distribute-lft-out--`
139×	`difference-of-squares`
92×	`associate-/r/`
47×	`flip3--` `flip--`
46×	`div-inv`
21×	`fma-neg`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out--` `insert-posit16` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `frac-sub` `fma-udef` `sub-div`

Counts

3 → 545

Calls

3 calls:

79.0ms	(- (/ z (- a t)) (/ t (- a t)))
8.0ms	(/ t (- a t))
0.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

series396.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- (/ z (- a t)) (/ t (- a t)))
75.0ms	(/ t (- a t))
197.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

simplify2.9s

Counts

554 → 554

Iterations

Iter	Nodes
done	5000
2	2876
1	1251
0	560

prune2.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (* t (/ 1 (- a t))))
0.0b	(/ 1 (- a t))
0.2b	(* t (/ 1 (- a t)))
3.7b	(fma (- (/ z (- a t)) (* t (/ 1 (- a t)))) (- y x) x)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
62×	`times-frac`
42×	`add-cube-cbrt`
21×	`fma-neg` `associate-r` `prod-diff`
17×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
11×	`add-cbrt-cube`
8×	`associate-/r/`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-/r*` `flip3--` `div-inv` `flip--`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `associate-r/` `un-div-inv` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `frac-sub` `cbrt-unprod` `sub-div`
1×	`clear-num` `sub-neg` `frac-2neg` `distribute-rgt-out--` `diff-log` `pow-prod-down` `*-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

43.0ms	(- (/ z (- a t)) (* t (/ 1 (- a t))))
9.0ms	(/ 1 (- a t))
24.0ms	(* t (/ 1 (- a t)))
0.0ms	(fma (- (/ z (- a t)) (* t (/ 1 (- a t)))) (- y x) x)

series336.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (/ z (- a t)) (* t (/ 1 (- a t))))
40.0ms	(/ 1 (- a t))
55.0ms	(* t (/ 1 (- a t)))
145.0ms	(fma (- (/ z (- a t)) (* t (/ 1 (- a t)))) (- y x) x)

simplify2.3s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
3	4656
2	1401
1	501
0	219

prune833.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
0.0b	(/ (- a t) t)
0.2b	(/ 1 (/ (- a t) t))
2.8b	(fma (- (/ z (- a t)) (/ 1 (/ (- a t) t))) (- y x) x)

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

3240×	`times-frac`
2445×	`add-sqr-sqrt`
2428×	`*-un-lft-identity`
1624×	`add-cube-cbrt`
1302×	`prod-diff`
404×	`difference-of-squares`
399×	`distribute-lft-out--`
154×	`div-inv`
148×	`associate-/r/`
65×	`flip3--` `flip--`
22×	`associate-/r*`
21×	`fma-neg`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `frac-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 1508

Calls

4 calls:

81.0ms	(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
17.0ms	(/ (- a t) t)
26.0ms	(/ 1 (/ (- a t) t))
0.0ms	(fma (- (/ z (- a t)) (/ 1 (/ (- a t) t))) (- y x) x)

series426.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
38.0ms	(/ (- a t) t)
81.0ms	(/ 1 (/ (- a t) t))
210.0ms	(fma (- (/ z (- a t)) (/ 1 (/ (- a t) t))) (- y x) x)

simplify3.0s

Counts

1520 → 1520

Iterations

Iter	Nodes
done	5000
1	3300
0	1434

prune10.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.4b

regimes706.0ms

Accuracy

39.4% (5.0b remaining)

Error of 8.9b against oracle of 3.8b and baseline of 12.1b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	36
1	36
0	28

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.5s	7726×	body	80	valid
220.0ms	517×	body	640	valid
128.0ms	291×	body	1280	valid
120.0ms	410×	body	320	valid
49.0ms	265×	body	160	valid
6.0ms	12×	body	2560	valid