Details

sample223.0ms

Algorithm

intervals

Results

167.0ms	237×	body	10240	exit
21.0ms	201×	body	80	valid
8.0ms	27×	body	320	valid
5.0ms	15×	body	640	valid
4.0ms	19×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2022
6	2022
5	815
4	205
3	108
2	52
1	21
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize383.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.3b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
13×	`distribute-rgt-out` `distribute-rgt1-in`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log` `associate-/r/`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `distribute-lft-out--` `associate--r-`

Counts

4 → 170

Calls

4 calls:

9.0ms	(* wj (exp wj))
9.0ms	(* wj (exp wj))
33.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
38.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* wj (exp wj))
47.0ms	(* wj (exp wj))
65.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
89.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.2s

Counts

182 → 182

Iterations

Iter	Nodes
done	2001
2	2001
1	829
0	309

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune31.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize103.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (exp wj) (* wj (exp wj)))
0.3b	(- (exp wj) (* wj (exp wj)))
1.5b	(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
5.3b	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
6×	`fma-neg` `prod-diff`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `fma-udef` `flip--`

Counts

4 → 66

Calls

4 calls:

17.0ms	(- (exp wj) (* wj (exp wj)))
18.0ms	(- (exp wj) (* wj (exp wj)))
0.0ms	(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
1.0ms	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (exp wj) (* wj (exp wj)))
63.0ms	(- (exp wj) (* wj (exp wj)))
224.0ms	(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
212.0ms	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

simplify965.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2015
3	2015
2	632
1	203
0	89

prune620.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize119.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (exp wj) (* wj (exp wj)))
0.3b	(- (exp wj) (* wj (exp wj)))
1.9b	(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (* (exp wj) (- 1 wj)) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
5.3b	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
6×	`fma-neg` `prod-diff`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `fma-udef` `flip--`

Counts

4 → 66

Calls

4 calls:

17.0ms	(- (exp wj) (* wj (exp wj)))
17.0ms	(- (exp wj) (* wj (exp wj)))
0.0ms	(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (* (exp wj) (- 1 wj)) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
1.0ms	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (exp wj) (* wj (exp wj)))
59.0ms	(- (exp wj) (* wj (exp wj)))
238.0ms	(fma (- (- (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))) (* (* (exp wj) (- 1 wj)) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj)))))))
221.0ms	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

simplify1.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	2004
3	2004
2	694
1	210
0	91

prune630.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

regimes115.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample8.5s

Algorithm

intervals

Results

6.4s	7585×	body	10240	exit
698.0ms	463×	body	640	valid
652.0ms	6251×	body	80	valid
266.0ms	788×	body	320	valid
103.0ms	565×	body	160	valid