Details

sample652.0ms

Algorithm

intervals

Results

542.0ms	1773×	body	80	nan
31.0ms	256×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	1851
5	984
4	411
3	155
2	61
1	27
0	15

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ y x)) t)
0.1b	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.3b	(fma (- a 0.5) (log t) (log z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`prod-diff`
21×	`add-cube-cbrt`
18×	`associate-+l+`
13×	`pow1`
10×	`log-pow`
8×	`log-prod` `associate--l+` `add-log-exp`
6×	`fma-def` `distribute-lft-out--`
5×	`distribute-lft-out`
4×	`fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`associate--l-` `log-div` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef` `difference-of-squares`
1×	`+-commutative` `associate-+r+` `flip3--` `associate-+l-` `flip--`

Counts

3 → 95

Calls

3 calls:

10.0ms	(- (log (+ y x)) t)
29.0ms	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0ms	(fma (- a 0.5) (log t) (log z))

series461.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(- (log (+ y x)) t)
229.0ms	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
87.0ms	(fma (- a 0.5) (log t) (log z))

simplify636.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2014
2	1131
1	425
0	174

prune633.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `associate-+l-` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

168.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
26.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series337.0ms

Counts

3 → 9

Calls

3 calls:

202.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
77.0ms	(+ (log (+ x y)) (log z))

simplify394.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	2000
1	675
0	246

prune593.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`log-pow`
7×	`distribute-lft-out`
5×	`log-prod`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-div` `flip3-+` `pow-prod-down` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r+` `sum-log`

Counts

4 → 73

Calls

4 calls:

26.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series797.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
202.0ms	(cbrt z)
204.0ms	(cbrt z)
236.0ms	(cbrt z)

simplify924.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2000
3	1890
2	575
1	216
0	94

prune669.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `pow1`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 73

Calls

4 calls:

9.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series772.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (log (+ x y)) (log z))
215.0ms	(cbrt t)
238.0ms	(cbrt t)
206.0ms	(cbrt t)

simplify789.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2000
3	1362
2	525
1	202
0	98

prune572.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes865.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample11.5s

Algorithm

intervals

Results

7.6s	55104×	body	80	nan
1.5s	8028×	body	80	valid