Details

sample220.0ms

Algorithm

intervals

Results

122.0ms	971×	body	80	nan
57.0ms	291×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
7	2892
6	1755
5	1038
4	589
3	270
2	107
1	58
0	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.3b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9 (- a (/ 1.0 3.0))))
6.9b	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
24×	`associate-r` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
9×	`associate-l` `associate-*r/`
8×	`sqrt-prod`
6×	`flip3--` `sqrt-div` `flip--`
4×	`associate-/r*` `associate-/r/` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `sqrt-pow1` `div-exp` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `pow1/2`

Counts

4 → 121

Calls

4 calls:

37.0ms	(* 9 (- a (/ 1.0 3.0)))
18.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
12.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
78.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

series494.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9 (- a (/ 1.0 3.0)))
158.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
76.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
194.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

simplify856.0ms

Counts

133 → 133

Iterations

Iter	Nodes
2	2472
1	1063
0	249

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.3b	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
6.9b	(* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
356×	`add-sqr-sqrt`
252×	`*-un-lft-identity`
194×	`add-cube-cbrt`
170×	`sqrt-prod`
123×	`associate-r`
58×	`difference-of-squares`
29×	`distribute-lft-out--`
21×	`div-inv`
18×	`add-cbrt-cube` `add-exp-log`
14×	`flip3--` `flip--`
13×	`associate-/l*`
10×	`frac-add`
9×	`associate-/r*` `add-log-exp`
7×	`pow1`
6×	`frac-times` `cbrt-undiv` `sqrt-div` `div-exp` `associate-l` `associate-*l/`
5×	`unswap-sqr`
4×	`associate-/r/` `insert-posit16`
3×	`prod-exp` `associate-*r/` `cbrt-unprod`
2×	`associate-+r+` `sum-log`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `pow-prod-down` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 357

Calls

4 calls:

30.0ms	(+ (* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
7.0ms	(sqrt (- a (/ 1.0 3.0)))
14.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
55.0ms	(* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

series490.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
55.0ms	(sqrt (- a (/ 1.0 3.0)))
157.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
153.0ms	(* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

simplify693.0ms

Counts

369 → 369

Iterations

Iter	Nodes
1	2593
0	558

prune3.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.3b	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
6.8b	(* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

447×	`times-frac`
380×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
197×	`add-cube-cbrt`
189×	`sqrt-prod`
124×	`associate-r`
60×	`difference-of-squares`
34×	`sqrt-div`
32×	`add-cbrt-cube` `add-exp-log`
30×	`distribute-lft-out--`
21×	`div-inv`
18×	`frac-times` `associate-l`
17×	`flip3--` `flip--`
13×	`associate-/l*`
12×	`pow1`
10×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r/`
4×	`pow-prod-down` `associate-/r/` `insert-posit16` `add-log-exp`
2×	`*-commutative`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 385

Calls

4 calls:

7.0ms	(sqrt (- a (/ 1.0 3.0)))
14.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
89.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
84.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

series405.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (- a (/ 1.0 3.0)))
172.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
148.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
13.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

simplify1.0s

Counts

397 → 397

Iterations

Iter	Nodes
1	2382
0	529

prune4.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.2b	(* (sqrt (- a (/ 1.0 3.0))) 3)
0.3b	(/ rand (* (sqrt (- a (/ 1.0 3.0))) 3))
6.9b	(* (- a (/ 1.0 3.0)) (/ rand (* (sqrt (- a (/ 1.0 3.0))) 3)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
20×	`add-cbrt-cube` `add-exp-log`
19×	`*-un-lft-identity`
15×	`associate-l`
13×	`add-cube-cbrt` `sqrt-prod`
12×	`associate-r`
9×	`pow1` `times-frac`
8×	`sqrt-div` `associate-*l/`
6×	`flip3--` `prod-exp` `cbrt-unprod` `flip--` `difference-of-squares`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`associate-/l*` `distribute-lft-out--` `unswap-sqr`
2×	`frac-times` `pow-prod-down` `*-commutative` `div-inv`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/`

Counts

4 → 108

Calls

4 calls:

9.0ms	(sqrt (- a (/ 1.0 3.0)))
19.0ms	(* (sqrt (- a (/ 1.0 3.0))) 3)
13.0ms	(/ rand (* (sqrt (- a (/ 1.0 3.0))) 3))
62.0ms	(* (- a (/ 1.0 3.0)) (/ rand (* (sqrt (- a (/ 1.0 3.0))) 3)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (- a (/ 1.0 3.0)))
109.0ms	(* (sqrt (- a (/ 1.0 3.0))) 3)
176.0ms	(/ rand (* (sqrt (- a (/ 1.0 3.0))) 3))
155.0ms	(* (- a (/ 1.0 3.0)) (/ rand (* (sqrt (- a (/ 1.0 3.0))) 3)))

simplify921.0ms

Counts

120 → 120

Iterations

Iter	Nodes
2	2658
1	1007
0	233

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	16
1	16
0	13

end0.0ms

sample6.6s

Algorithm

intervals

Results

4.1s	27633×	body	80	nan
1.6s	9150×	body	80	valid