Details

sample126.0ms

Algorithm

intervals

Results

47.0ms	814×	body	80	nan
24.0ms	299×	body	80	valid

simplify8.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	107	18
3	390	18
4	1294	18
5	3154	18
6	4878	18
done	5001	18

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

12.0ms	(+ a (+ (fma x (log y) z) t))
3.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)

series478.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ a (+ (fma x (log y) z) t))
44.0ms	(+ (fma x (log y) z) t)
316.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
52.0ms	(fma x (log y) z)

simplify889.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (284.0ms)

Iter	Nodes	Cost
0	105	812
1	244	761
2	622	706
3	2546	689
done	5000	689

prune339.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
0.0b	(+ (fma x (log y) z) t)
0.1b	(fma x (log y) z)
0.2b	(* (log c) (- b 0.5))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-cube-cbrt`
23×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-log-exp`
7×	`pow1` `sum-log`
6×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `fma-def` `flip3-+` `associate-l` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `fma-udef`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

30.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
3.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma x (log y) z)
12.0ms	(* (log c) (- b 0.5))

series551.0ms

Counts

4 → 12

Calls

4 calls:

355.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
48.0ms	(+ (fma x (log y) z) t)
51.0ms	(fma x (log y) z)
97.0ms	(* (log c) (- b 0.5))

simplify741.0ms

Counts

130 → 130

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	242	2387
1	613	1956
2	2103	1774
done	5000	1738

prune556.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log c)) (cbrt (log c)))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

7.0ms	(* (cbrt (log c)) (cbrt (log c)))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (log c)) (cbrt (log c)))
262.0ms	(cbrt (log c))
264.0ms	(cbrt (log c))
263.0ms	(cbrt (log c))

simplify4.2s

Counts

101 → 101

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	66	787
1	125	690
2	321	571
3	1160	529
4	4451	521
done	5000	521

prune384.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
0.5b	(cbrt (log c))
0.6b	(pow (log c) 2)
1.2b	(pow (pow (log c) 2) 1/3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `distribute-lft-in`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`prod-diff`
30×	`unpow-prod-down`
28×	`add-exp-log`
15×	`prod-exp`
13×	`associate-l` `pow-exp`
10×	`add-cbrt-cube`
9×	`pow1`
7×	`pow-to-exp`
6×	`pow-unpow` `cbrt-unprod`
5×	`sqr-pow`
4×	`cbrt-prod` `expm1-log1p-u` `sub-neg` `associate-*r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`unpow1/3` `unpow2`
2×	`pow-pow`
1×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 147

Calls

4 calls:

32.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
1.0ms	(cbrt (log c))
1.0ms	(pow (log c) 2)
3.0ms	(pow (pow (log c) 2) 1/3)

series781.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
271.0ms	(cbrt (log c))
150.0ms	(pow (log c) 2)
266.0ms	(pow (pow (log c) 2) 1/3)

simplify717.0ms

Counts

159 → 159

Iterations

Useful iterations: done (712.0ms)

Iter	Nodes	Cost
0	266	3141
1	610	2523
2	1776	2192
done	5000	2156

prune549.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes492.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	22	19
done	22	19

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.7s	27925×	body	80	nan
644.0ms	9147×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid