Details

sample161.0ms

Algorithm

intervals

Results

119.0ms	263×	body	10240	exit
13.0ms	203×	body	80	valid
6.0ms	19×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	17×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
6	2372
5	596
4	193
3	102
2	50
1	21
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize26.0ms

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))))
4.6b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite152.0ms

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:

19.0ms	(* wj (exp wj))
18.0ms	(* wj (exp wj))
57.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
56.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* wj (exp wj))
48.0ms	(* wj (exp wj))
63.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
78.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.2s

Counts

182 → 182

Iterations

Iter	Nodes
2	2303
1	814
0	309

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune53.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize98.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (exp wj) (* wj (exp wj)))
0.3b	(- (exp wj) (* wj (exp wj)))
2.2b	(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)))))))
4.6b	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

rewrite21.0ms

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:

10.0ms	(- (exp wj) (* wj (exp wj)))
10.0ms	(- (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)))))))
0.0ms	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

series516.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (exp wj) (* wj (exp wj)))
53.0ms	(- (exp wj) (* wj (exp wj)))
205.0ms	(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)))))))
208.0ms	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

simplify895.0ms

Counts

78 → 78

Iterations

Iter	Nodes
3	2332
2	585
1	195
0	89

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize99.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (exp wj) (* wj (exp wj)))
0.3b	(- (exp wj) (* wj (exp wj)))
2.2b	(fma (- (* (exp wj) (- 1 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)))))))
4.6b	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

rewrite42.0ms

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:

20.0ms	(- (exp wj) (* wj (exp wj)))
20.0ms	(- (exp wj) (* wj (exp wj)))
1.0ms	(fma (- (* (exp wj) (- 1 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))))))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (exp wj) (* wj (exp wj)))
74.0ms	(- (exp wj) (* wj (exp wj)))
190.0ms	(fma (- (* (exp wj) (- 1 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)))))))
216.0ms	(fma 1 wj (- (* (- (exp wj) (* wj (exp wj))) (/ (- (* wj (exp wj)) x) (- (* (exp wj) (exp wj)) (* (* wj (exp wj)) (* wj (exp wj))))))))

simplify1.7s

Counts

78 → 78

Iterations

Iter	Nodes
3	2861
2	658
1	200
0	90

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.4b

regimes127.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample8.1s

Algorithm

intervals

Results

6.5s	7502×	body	10240	exit
685.0ms	6364×	body	80	valid
239.0ms	465×	body	640	valid
214.0ms	727×	body	320	valid
92.0ms	524×	body	160	valid