Details

sample157.0ms

Algorithm

intervals

Results

102.0ms	895×	body	80	nan
28.0ms	291×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
7	3296
6	1984
5	1152
4	612
3	202
2	71
1	28
0	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
0.1b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.2b	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

34.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
7.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
92.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
39.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
82.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
218.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
100.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify1.7s

Counts

140 → 140

Iterations

Iter	Nodes
2	2380
1	742
0	281

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize46.0ms

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 (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.3b	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
36×	`associate-r`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
14×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`distribute-lft-out--`
9×	`associate-*r/`
6×	`sqrt-div` `associate-l` `associate-/l*`
5×	`flip3--` `flip--`
4×	`associate-/r*` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub`

Counts

4 → 144

Calls

4 calls:

25.0ms	(* 9 (- a (/ 1.0 3.0)))
7.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
84.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
44.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 9 (- a (/ 1.0 3.0)))
100.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
161.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
96.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify3.3s

Counts

156 → 156

Iterations

Iter	Nodes
3	6186
2	1965
1	664
0	256

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.2b	(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
0.3b	(/ (sqrt (- a (/ 1.0 3.0))) 3)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`times-frac`
30×	`sqrt-prod`
24×	`add-cube-cbrt`
20×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`pow1` `difference-of-squares`
9×	`prod-exp` `associate-/l*` `add-log-exp`
5×	`cbrt-unprod` `distribute-lft-out--`
4×	`sqrt-div` `insert-posit16`
3×	`associate-/r` `flip3--` `div-exp` `associate-l` `pow-prod-down` `associate-l/` `associate-*r/` `flip--`
2×	`cbrt-undiv` `associate-+l+` `sum-log` `1-exp` `frac-add` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-r` `*-commutative` `associate-+l-` `flip-+` `div-inv`

Counts

4 → 115

Calls

4 calls:

34.0ms	(+ (- a (/ 1.0 3.0)) (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)))
10.0ms	(sqrt (- a (/ 1.0 3.0)))
34.0ms	(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
34.0ms	(/ (sqrt (- a (/ 1.0 3.0))) 3)

series389.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (- a (/ 1.0 3.0)) (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)))
60.0ms	(sqrt (- a (/ 1.0 3.0)))
144.0ms	(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
96.0ms	(/ (sqrt (- a (/ 1.0 3.0))) 3)

simplify2.6s

Counts

127 → 127

Iterations

Iter	Nodes
3	5098
2	1559
1	569
0	249

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

43.0ms	(+ (- a (/ 1.0 3.0)) (/ (* (sqrt (- a (/ 1.0 3.0))) rand) 3))
7.0ms	(sqrt (- a (/ 1.0 3.0)))
39.0ms	(* (sqrt (- a (/ 1.0 3.0))) rand)
17.0ms	(/ (* (sqrt (- a (/ 1.0 3.0))) rand) 3)

series437.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (- a (/ 1.0 3.0)) (/ (* (sqrt (- a (/ 1.0 3.0))) rand) 3))
51.0ms	(sqrt (- a (/ 1.0 3.0)))
154.0ms	(* (sqrt (- a (/ 1.0 3.0))) rand)
159.0ms	(/ (* (sqrt (- a (/ 1.0 3.0))) rand) 3)

simplify5.1s

Counts

103 → 103

Iterations

Iter	Nodes
3	5505
2	1536
1	488
0	203

prune887.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	16
1	16
0	13

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.8s	27625×	body	80	nan
1.2s	9120×	body	80	valid