Details

sample186.0ms

Algorithm

intervals

Results

62.0ms	819×	body	80	nan
49.0ms	290×	body	80	valid

simplify6.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2025
6	1131
5	730
4	405
3	185
2	72
1	27
0	13

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

92.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
21.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
144.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
26.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series892.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
105.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
298.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
281.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify5.3s

Counts

130 → 130

Iterations

Iter	Nodes
done	5003
2	3334
1	862
0	307

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9.0)
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))))
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
17×	`add-cube-cbrt`
14×	`times-frac`
12×	`associate-l`
11×	`pow1`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-*l/`
6×	`flip3--` `associate-r` `flip--`
5×	`sqrt-prod`
4×	`frac-times` `associate-/r*` `sqrt-div` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`flip3-+` `pow-prod-down` `flip-+` `associate-/l*`
2×	`sqrt-pow1` `prod-exp` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `pow1/2` `div-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

83.0ms	(* (- a (/ 1.0 3.0)) 9.0)
126.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))))
21.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
46.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series615.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (- a (/ 1.0 3.0)) 9.0)
209.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))))
114.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
221.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify4.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	2708
1	733
0	267

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9.0)
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
9.3b	(* (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))) (- a (/ 1.0 3.0)))

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

88.0ms	(* (- a (/ 1.0 3.0)) 9.0)
37.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
31.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
371.0ms	(* (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))) (- a (/ 1.0 3.0)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- a (/ 1.0 3.0)) 9.0)
148.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
266.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
304.0ms	(* (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))) (- a (/ 1.0 3.0)))

simplify4.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	2723
1	741
0	274

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))
0.2b	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))
0.2b	(* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))
9.3b	(* (* 1.0 (/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))) (- a (/ 1.0 3.0)))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`times-frac` `associate-*l/`
12×	`associate-r`
9×	`pow-prod-down`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`flip3--` `associate-*r/` `flip--`
4×	`associate-/r*` `sqrt-div` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-l` `associate-/r/` `*-commutative` `difference-of-squares`
1×	`clear-num` `frac-2neg` `pow1/2` `div-inv` `distribute-lft-out--`

Counts

4 → 106

Calls

4 calls:

111.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))
111.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))
100.0ms	(* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))
1.3s	(* (* 1.0 (/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))) (- a (/ 1.0 3.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))
414.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))
187.0ms	(* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))
491.0ms	(* (* 1.0 (/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))) (- a (/ 1.0 3.0)))

simplify5.2s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	3501
1	919
0	329

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes573.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.9s	27544×	body	80	nan
648.0ms	9156×	body	80	valid