Details

sample106.0ms

Algorithm

intervals

Results

26.0ms	301×	body	80	valid
21.0ms	281×	body	80	nan

simplify7.2s

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

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

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)

rewrite291.0ms

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:

2.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
67.0ms	(- 1.0 (- z (log z)))
23.0ms	(- z (log z))
186.0ms	(* (- 1.0 (- z (log z))) y)

series893.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
365.0ms	(- 1.0 (- z (log z)))
246.0ms	(- z (log z))
161.0ms	(* (- 1.0 (- z (log z))) y)

simplify6.1s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
3	3625
2	1195
1	481
0	206

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize112.0ms

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)

rewrite179.0ms

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:

23.0ms	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
138.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
3.0ms	(cbrt z)
3.0ms	(cbrt z)

series2.5s

Counts

4 → 12

Calls

4 calls:

1.3s	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
482.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
330.0ms	(cbrt z)
386.0ms	(cbrt z)

simplify6.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	4000
2	1035
1	373
0	169

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
45×	`prod-diff`
39×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
26×	`distribute-lft-out`
19×	`pow1`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`log-pow`
9×	`add-log-exp`
7×	`associate-r`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
5×	`fma-neg`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+r+` `log-prod` `sub-neg` `fma-def` `associate-l` `associate--l+`
2×	`sum-log` `flip3--` `diff-log` `associate-*r/` `flip--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

16.0ms	(+ 1.0 (log z))
1.0ms	(fma x 0.5 (* y (- (+ 1.0 (log z)) z)))
103.0ms	(- (+ 1.0 (log z)) z)
252.0ms	(* y (- (+ 1.0 (log z)) z))

series846.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ 1.0 (log z))
113.0ms	(fma x 0.5 (* y (- (+ 1.0 (log z)) z)))
375.0ms	(- (+ 1.0 (log z)) z)
166.0ms	(* y (- (+ 1.0 (log z)) z))

simplify2.9s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
2	1312
1	468
0	192

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

2.0ms	(fma x 0.5 (+ (* y 1.0) (* y (- (log z) z))))
27.0ms	(- (log z) z)
46.0ms	(+ (* y 1.0) (* y (- (log z) z)))
52.0ms	(* y (- (log z) z))

series659.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma x 0.5 (+ (* y 1.0) (* y (- (log z) z))))
255.0ms	(- (log z) z)
170.0ms	(+ (* y 1.0) (* y (- (log z) z)))
127.0ms	(* y (- (log z) z))

simplify3.8s

Counts

170 → 170

Iterations

Iter	Nodes
done	5002
2	1767
1	562
0	226

prune2.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes728.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

734.0ms	9081×	body	80	nan
725.0ms	9161×	body	80	valid