Details

sample173.0ms

Algorithm

intervals

Results

112.0ms	882×	body	80	nan
27.0ms	297×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	3095
5	1346
4	543
3	191
2	75
1	28
0	14

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.1b	(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
78×	`prod-diff`
67×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`associate-r` `associate-*r/`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow-prod-down` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

36.0ms	(* 9 (- a (/ 1.0 3.0)))
0.0ms	(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
14.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
18.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* 9 (- a (/ 1.0 3.0)))
126.0ms	(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
76.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
200.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify943.0ms

Counts

183 → 183

Iterations

Iter	Nodes
2	2152
1	879
0	432

prune946.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
7.6b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-sqr-sqrt`
164×	`*-un-lft-identity`
160×	`add-cube-cbrt`
156×	`prod-diff`
135×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
21×	`associate-l`
14×	`div-inv`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
10×	`associate-*r/`
8×	`sqrt-prod`
6×	`flip3--` `sqrt-div` `flip--`
4×	`expm1-log1p-u` `associate-/r*` `sub-neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `pow1/2` `associate-*l/`

Counts

4 → 289

Calls

4 calls:

47.0ms	(* 9 (- a (/ 1.0 3.0)))
28.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
21.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
114.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* 9 (- a (/ 1.0 3.0)))
82.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
178.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
135.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify1.9s

Counts

301 → 301

Iterations

Iter	Nodes
2	3937
1	1456
0	579

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0)))
0.2b	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
0.2b	(* 3 (sqrt (- a (/ 1.0 3.0))))
7.6b	(* (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

198×	`add-sqr-sqrt`
195×	`prod-diff`
189×	`*-un-lft-identity`
182×	`add-cube-cbrt`
143×	`times-frac`
82×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
41×	`associate-+r+`
20×	`add-cbrt-cube` `add-exp-log`
17×	`div-inv`
15×	`associate-r`
14×	`flip3--` `flip--`
12×	`associate-l` `associate-*r/`
10×	`frac-add`
9×	`add-log-exp`
8×	`pow1`
7×	`sqrt-prod`
6×	`frac-times` `sqrt-div` `prod-exp` `cbrt-unprod`
5×	`sub-neg`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`associate-l/` `associate-/l` `distribute-lft-out--` `unswap-sqr`
2×	`sum-log` `distribute-rgt-out` `pow-prod-down` `*-commutative`
1×	`+-commutative` `clear-num` `associate-+r-` `associate-/r*` `fma-def` `frac-2neg` `distribute-lft1-in` `flip3-+` `diff-log` `flip-+`

Counts

4 → 330

Calls

4 calls:

57.0ms	(+ (* (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0)))
18.0ms	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
43.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
99.0ms	(* (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (* (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0)))
196.0ms	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
113.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
182.0ms	(* (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify5.5s

Counts

342 → 342

Iterations

Iter	Nodes
2	7069
1	1858
0	586

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (sqrt (- a (/ 1.0 3.0))))
0.2b	(* 3 (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (- (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
7.6b	(* a (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
39×	`associate-l`
36×	`associate-r`
34×	`*-un-lft-identity`
30×	`add-cube-cbrt`
26×	`times-frac` `add-cbrt-cube` `add-exp-log`
14×	`sqrt-prod`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`pow1`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
8×	`sqrt-div`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `difference-of-squares`
2×	`distribute-neg-frac` `distribute-lft-out--`
1×	`distribute-lft-neg-out` `frac-times` `neg-mul-1` `associate-*l/`

Counts

4 → 154

Calls

4 calls:

42.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
39.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
61.0ms	(* (- (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
67.0ms	(* a (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

82.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
486.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
192.0ms	(* (- (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
398.0ms	(* a (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))

simplify1.6s

Counts

166 → 166

Iterations

Iter	Nodes
2	2945
1	771
0	283

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
4	31
3	31
2	28
1	24
0	15

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.1s	27172×	body	80	nan
1.2s	9137×	body	80	valid