Details

sample113.0ms

Algorithm

intervals

Results

57.0ms	819×	body	80	nan
22.0ms	290×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2319
4	806
3	225
2	76
1	30
0	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)
0.3b	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

rewrite234.0ms

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:

58.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
11.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
124.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
36.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
67.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
229.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
129.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify2.5s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	2787
1	769
0	281

prune679.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `times-frac`
24×	`add-cube-cbrt`
21×	`associate-l`
19×	`add-exp-log`
15×	`pow1`
13×	`add-cbrt-cube`
9×	`associate-r`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `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×	`distribute-rgt-in` `cbrt-undiv` `rec-exp` `sub-neg` `distribute-lft-in` `pow1/2` `1-exp` `*-commutative` `div-inv` `difference-of-squares`
1×	`clear-num` `frac-2neg` `distribute-lft-out--` `inv-pow`

Counts

4 → 130

Calls

4 calls:

49.0ms	(* (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)) (- a (/ 1.0 3.0)))
15.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
172.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
51.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)) (- a (/ 1.0 3.0)))
70.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
267.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
105.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify2.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	2514
1	747
0	283

prune752.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.1b	(* (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)) (- a (/ 1.0 3.0)))
0.1b	(pow (* 9 (- a (/ 1.0 3.0))) -1/2)
0.2b	(* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
19×	`add-exp-log`
15×	`-un-lft-identity` `associate-r*`
11×	`pow1` `associate-l` `add-cube-cbrt`
10×	`add-cbrt-cube`
8×	`prod-exp`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `flip3--` `pow-exp` `associate-*r/` `insert-posit16` `flip--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`pow-unpow` `flip3-+` `pow-prod-down` `*-commutative` `cbrt-unprod` `flip-+` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-down` `pow-pow` `times-frac` `associate-*l/` `distribute-lft-out--`

Counts

4 → 104

Calls

4 calls:

58.0ms	(* 9 (- a (/ 1.0 3.0)))
45.0ms	(* (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)) (- a (/ 1.0 3.0)))
19.0ms	(pow (* 9 (- a (/ 1.0 3.0))) -1/2)
17.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)

series587.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 9 (- a (/ 1.0 3.0)))
120.0ms	(* (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)) (- a (/ 1.0 3.0)))
184.0ms	(pow (* 9 (- a (/ 1.0 3.0))) -1/2)
225.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)

simplify2.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	5003
2	2135
1	697
0	249

prune600.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (/ 1 (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1 (* 3 (sqrt (- a (/ 1.0 3.0)))))
0.3b	(* 3 (sqrt (- a (/ 1.0 3.0))))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

46.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)))
166.0ms	(* (/ 1 (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)
59.0ms	(/ 1 (* 3 (sqrt (- a (/ 1.0 3.0)))))
72.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)))
233.0ms	(* (/ 1 (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)
115.0ms	(/ 1 (* 3 (sqrt (- a (/ 1.0 3.0)))))
66.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))

simplify2.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	2804
1	808
0	286

prune509.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes154.0ms

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
done	20
1	20
0	14

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.2s	27544×	body	80	nan
706.0ms	9156×	body	80	valid