Details

sample58.0ms

Algorithm

intervals

Results

21.0ms	301×	body	80	valid
14.0ms	281×	body	80	nan

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4510
9	2947
8	1717
7	1207
6	890
5	546
4	246
3	112
2	57
1	26
0	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
0.0b	(- 1.0 (- z (log z)))
0.0b	(- z (log z))
0.2b	(* (- 1.0 (- z (log z))) y)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
42×	`prod-diff`
32×	`add-cube-cbrt`
18×	`pow1` `distribute-lft-out--`
17×	`associate--r+`
12×	`log-pow`
9×	`add-log-exp`
7×	`associate-l`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `sub-neg` `flip3--` `associate-r` `flip--`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `associate--r-` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

0.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
23.0ms	(- 1.0 (- z (log z)))
9.0ms	(- z (log z))
75.0ms	(* (- 1.0 (- z (log z))) y)

series572.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
208.0ms	(- 1.0 (- z (log z)))
199.0ms	(- z (log z))
100.0ms	(* (- 1.0 (- z (log z))) y)

simplify2.4s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
3	3595
2	1193
1	481
0	206

prune634.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
0.2b	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
15×	`prod-diff`
11×	`pow1`
9×	`cbrt-prod`
8×	`log-pow`
7×	`associate-l` `distribute-lft-out--`
6×	`log-prod` `add-cbrt-cube` `add-exp-log` `associate--r+`
5×	`pow1/3` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `associate-r`
2×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

9.0ms	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
70.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.7s

Counts

4 → 12

Calls

4 calls:

926.0ms	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
280.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
267.0ms	(cbrt z)
235.0ms	(cbrt z)

simplify2.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	3822
2	1022
1	373
0	169

prune742.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* y (+ (log z) (- 1.0 z))))
0.0b	(+ (log z) (- 1.0 z))
0.2b	(* y (+ (log z) (- 1.0 z)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`pow1`
9×	`prod-diff`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `log-pow`
4×	`fma-def` `distribute-lft-out--`
3×	`expm1-log1p-u` `associate-+l+` `log-prod` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `associate-+r-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

0.0ms	(fma x 0.5 (* y (+ (log z) (- 1.0 z))))
29.0ms	(+ (log z) (- 1.0 z))
79.0ms	(* y (+ (log z) (- 1.0 z)))

series461.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(fma x 0.5 (* y (+ (log z) (- 1.0 z))))
291.0ms	(+ (log z) (- 1.0 z))
108.0ms	(* y (+ (log z) (- 1.0 z)))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1062
1	372
0	144

prune381.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 0.5 (+ (* y (log z)) (* y (- 1.0 z))))
0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (log z)) (* y (- 1.0 z)))
0.3b	(* y (log z))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`prod-diff` `add-cube-cbrt`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+r+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+l+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip3--` `log-pow` `flip-+` `fma-udef` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

0.0ms	(fma x 0.5 (+ (* y (log z)) (* y (- 1.0 z))))
30.0ms	(* y (- 1.0 z))
18.0ms	(+ (* y (log z)) (* y (- 1.0 z)))
21.0ms	(* y (log z))

series282.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma x 0.5 (+ (* y (log z)) (* y (- 1.0 z))))
38.0ms	(* y (- 1.0 z))
119.0ms	(+ (* y (log z)) (* y (- 1.0 z)))
49.0ms	(* y (log z))

simplify3.0s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
3	4567
2	1316
1	551
0	227

prune857.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes198.0ms

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	20
1	20
0	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	9161×	body	80	valid
766.0ms	9081×	body	80	nan