Details

sample81.0ms

Algorithm

intervals

Results

19.0ms	245×	body	80	valid
4.0ms	18×	body	320	valid
3.0ms	8×	body	1280	valid
3.0ms	9×	body	640	valid
1.0ms	9×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

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

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
3.4b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite73.0ms

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:

62.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

series400.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(/ (- z t) (- a t))
276.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify4.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5008
3	2144
2	678
1	274
0	118

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
3.4b	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 585

Calls

4 calls:

32.0ms	(/ z (- a t))
16.0ms	(/ t (- a t))
216.0ms	(- (/ z (- a t)) (/ t (- a t)))
2.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

series569.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ z (- a t))
72.0ms	(/ t (- a t))
146.0ms	(- (/ z (- a t)) (/ t (- a t)))
293.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

simplify5.7s

Counts

597 → 597

Iterations

Iter	Nodes
done	5000
2	3111
1	1292
0	577

prune6.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.2b

localize89.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (* t (/ 1 (- a t))))
0.2b	(* t (/ 1 (- a t)))
3.9b	(fma (- (/ z (- a t)) (* t (/ 1 (- a t)))) (- y x) x)

rewrite262.0ms

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

Counts

4 → 160

Calls

4 calls:

23.0ms	(/ z (- a t))
173.0ms	(- (/ z (- a t)) (* t (/ 1 (- a t))))
52.0ms	(* t (/ 1 (- a t)))
1.0ms	(fma (- (/ z (- a t)) (* t (/ 1 (- a t)))) (- y x) x)

series584.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ z (- a t))
160.0ms	(- (/ z (- a t)) (* t (/ 1 (- a t))))
106.0ms	(* t (/ 1 (- a t)))
255.0ms	(fma (- (/ z (- a t)) (* t (/ 1 (- a t)))) (- y x) x)

simplify6.1s

Counts

172 → 172

Iterations

Iter	Nodes
done	5000
3	4590
2	1483
1	514
0	219

prune2.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (* (/ 1 (- a t)) t))
0.2b	(* (/ 1 (- a t)) t)
3.9b	(fma (- (/ z (- a t)) (* (/ 1 (- a t)) t)) (- y x) x)

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

16.0ms	(/ z (- a t))
139.0ms	(- (/ z (- a t)) (* (/ 1 (- a t)) t))
63.0ms	(* (/ 1 (- a t)) t)
1.0ms	(fma (- (/ z (- a t)) (* (/ 1 (- a t)) t)) (- y x) x)

series588.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ z (- a t))
179.0ms	(- (/ z (- a t)) (* (/ 1 (- a t)) t))
93.0ms	(* (/ 1 (- a t)) t)
252.0ms	(fma (- (/ z (- a t)) (* (/ 1 (- a t)) t)) (- y x) x)

simplify3.7s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	1519
1	499
0	215

prune2.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.2b

regimes2.3s

Accuracy

43% (4.8b remaining)

Error of 8.3b against oracle of 3.5b and baseline of 11.9b

bsearch6.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	38
1	38
0	33

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	7765×	body	80	valid
190.0ms	494×	body	640	valid
80.0ms	269×	body	1280	valid
73.0ms	412×	body	320	valid
32.0ms	263×	body	160	valid
6.0ms	17×	body	2560	valid