Details

sample158.0ms

Algorithm

intervals

Results

97.0ms	983×	body	80	nan
23.0ms	297×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune10.0ms

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)))
0.2b	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite119.0ms

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:

25.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
65.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
21.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
7.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
195.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
90.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
100.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify2.4s

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
2	2795
1	771
0	281

prune709.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)))
0.2b	(* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)
0.4b	(pow (* 9 (- a (/ 1.0 3.0))) -1/2)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

21.0ms	(* 9 (- a (/ 1.0 3.0)))
40.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)))
32.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)
18.0ms	(pow (* 9 (- a (/ 1.0 3.0))) -1/2)

series610.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 9 (- a (/ 1.0 3.0)))
102.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)))
283.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) -1/2) rand)
156.0ms	(pow (* 9 (- a (/ 1.0 3.0))) -1/2)

simplify2.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2504
1	727
0	251

prune545.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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))))
7.9b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
10×	`associate-*r/`
8×	`sqrt-prod`
6×	`flip3--` `sqrt-div` `flip--`
4×	`distribute-rgt-in` `associate-/r*` `sub-neg` `distribute-lft-in` `associate-/r/` `insert-posit16` `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` `div-inv` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `pow1/2` `associate-*l/`

Counts

4 → 125

Calls

4 calls:

26.0ms	(* 9 (- a (/ 1.0 3.0)))
20.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
102.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 9 (- a (/ 1.0 3.0)))
163.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
97.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
148.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify1.9s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2236
1	656
0	251

prune816.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9)
0.2b	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
0.2b	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
0.4b	(sqrt (* (- a (/ 1.0 3.0)) 9))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
33×	`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-l`
8×	`associate-*l/`
6×	`sqrt-div` `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×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub` `associate-*r/`

Counts

4 → 140

Calls

4 calls:

20.0ms	(* (- a (/ 1.0 3.0)) 9)
68.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
39.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
7.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9))

series411.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- a (/ 1.0 3.0)) 9)
151.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
114.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
79.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9))

simplify1.8s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	2157
1	646
0	253

prune667.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.4s	26912×	body	80	nan
711.0ms	9127×	body	80	valid