Details

sample212.0ms

Algorithm

intervals

Results

106.0ms	870×	body	80	nan
35.0ms	294×	body	80	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3746
4	1256
3	332
2	107
1	39
0	20

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
0.1b	(fma (- b 0.5) (log c) (fma y i a))
0.1b	(fma (log y) x z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `sum-log` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 44

Calls

3 calls:

11.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
0.0ms	(fma (- b 0.5) (log c) (fma y i a))
0.0ms	(fma (log y) x z)

series1.8s

Counts

3 → 9

Calls

3 calls:

1.6s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
157.0ms	(fma (- b 0.5) (log c) (fma y i a))
100.0ms	(fma (log y) x z)

simplify2.7s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	4423
2	762
1	222
0	100

prune560.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- b 0.5) (log c)) (+ (fma y i a) (+ (fma (log y) x z) t)))
0.0b	(+ (fma y i a) (+ (fma (log y) x z) t))
0.1b	(fma (log y) x z)
0.1b	(* (- b 0.5) (log c))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity` `add-log-exp`
15×	`add-sqr-sqrt`
12×	`log-prod`
11×	`add-cube-cbrt`
9×	`sum-log`
7×	`pow1` `associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`associate-l`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-r` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`+-commutative` `associate-+r+` `fma-udef`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

71.0ms	(+ (* (- b 0.5) (log c)) (+ (fma y i a) (+ (fma (log y) x z) t)))
11.0ms	(+ (fma y i a) (+ (fma (log y) x z) t))
0.0ms	(fma (log y) x z)
25.0ms	(* (- b 0.5) (log c))

series1.6s

Counts

4 → 12

Calls

4 calls:

1.1s	(+ (* (- b 0.5) (log c)) (+ (fma y i a) (+ (fma (log y) x z) t)))
275.0ms	(+ (fma y i a) (+ (fma (log y) x z) t))
135.0ms	(fma (log y) x z)
104.0ms	(* (- b 0.5) (log c))

simplify1.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	2000
1	536
0	200

prune885.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log (sqrt c)) (- b 0.5)) (+ (* (log (sqrt c)) (- b 0.5)) (+ (fma y i a) (+ (fma (log y) x z) t))))
0.1b	(fma (log y) x z)
0.1b	(* (log (sqrt c)) (- b 0.5))
0.1b	(* (log (sqrt c)) (- b 0.5))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
52×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
44×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-*r/`
22×	`associate-+l+`
20×	`frac-add`
18×	`add-log-exp`
12×	`pow1` `flip3--` `associate-l` `flip--`
10×	`sum-log` `associate-r`
8×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`sub-neg` `log-pow`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `fma-udef`

Counts

4 → 164

Calls

4 calls:

149.0ms	(+ (* (log (sqrt c)) (- b 0.5)) (+ (* (log (sqrt c)) (- b 0.5)) (+ (fma y i a) (+ (fma (log y) x z) t))))
0.0ms	(fma (log y) x z)
17.0ms	(* (log (sqrt c)) (- b 0.5))
39.0ms	(* (log (sqrt c)) (- b 0.5))

series3.3s

Counts

4 → 12

Calls

4 calls:

3.1s	(+ (* (log (sqrt c)) (- b 0.5)) (+ (* (log (sqrt c)) (- b 0.5)) (+ (fma y i a) (+ (fma (log y) x z) t))))
113.0ms	(fma (log y) x z)
74.0ms	(* (log (sqrt c)) (- b 0.5))
102.0ms	(* (log (sqrt c)) (- b 0.5))

simplify3.2s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	4559
1	960
0	300

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (- b 0.5) (log (cbrt c))) (* (- b 0.5) (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
20×	`frac-add`
15×	`cbrt-prod`
14×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `associate-+r+` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
6×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
2×	`count-2`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `distribute-rgt-out`

Counts

4 → 90

Calls

4 calls:

100.0ms	(+ (+ (* (- b 0.5) (log (cbrt c))) (* (- b 0.5) (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(+ (+ (* (- b 0.5) (log (cbrt c))) (* (- b 0.5) (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
276.0ms	(cbrt c)
296.0ms	(cbrt c)
304.0ms	(cbrt c)

simplify2.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	5004
2	2932
1	685
0	189

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.3s	27911×	body	80	nan
1.4s	9189×	body	80	valid
2.0ms	3×	body	1280	valid
1.0ms	4×	body	320	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid