Details

sample241.0ms

Algorithm

intervals

Results

152.0ms	886×	body	80	nan
47.0ms	302×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	2316
5	1092
4	499
3	173
2	71
1	30
0	14

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
33×	`associate-l`
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`
8×	`associate-*r/`
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×	`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` `associate-*l/`

Counts

4 → 144

Calls

4 calls:

29.0ms	(* 9 (- a (/ 1.0 3.0)))
12.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
76.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
47.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 9 (- a (/ 1.0 3.0)))
77.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
141.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
77.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify2.5s

Counts

156 → 156

Iterations

Iter	Nodes
3	5363
2	1719
1	651
0	257

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)) rand) (- a (/ 1.0 3.0)))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.2b	(/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9))
0.3b	(* (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)) rand)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 203

Calls

4 calls:

44.0ms	(+ (* (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)) rand) (- a (/ 1.0 3.0)))
10.0ms	(sqrt (- a (/ 1.0 3.0)))
15.0ms	(/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9))
27.0ms	(* (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)) rand)

series448.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (* (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)) rand) (- a (/ 1.0 3.0)))
76.0ms	(sqrt (- a (/ 1.0 3.0)))
83.0ms	(/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9))
179.0ms	(* (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)) rand)

simplify3.5s

Counts

215 → 215

Iterations

Iter	Nodes
3	6042
2	1830
1	670
0	286

prune2.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

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))))
0.3b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
9.8b	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

rewrite118.0ms

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:

25.0ms	(* 9 (- a (/ 1.0 3.0)))
7.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
17.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
65.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

series448.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 9 (- a (/ 1.0 3.0)))
81.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
145.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
160.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

simplify3.1s

Counts

133 → 133

Iterations

Iter	Nodes
3	6793
2	1879
1	604
0	249

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.4b	(* 1/3 (- a (/ 1.0 3.0)))
9.8b	(* (* 1/3 (- a (/ 1.0 3.0))) (/ rand (sqrt (- a (/ 1.0 3.0)))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
63×	`times-frac`
59×	`*-un-lft-identity`
48×	`sqrt-prod`
41×	`add-cube-cbrt`
39×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
18×	`difference-of-squares`
12×	`pow1`
9×	`associate-/r*` `distribute-lft-out--`
7×	`prod-exp` `associate-*r/` `cbrt-unprod`
6×	`flip3--` `sqrt-div` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `unswap-sqr`

Counts

4 → 159

Calls

4 calls:

7.0ms	(sqrt (- a (/ 1.0 3.0)))
11.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
21.0ms	(* 1/3 (- a (/ 1.0 3.0)))
83.0ms	(* (* 1/3 (- a (/ 1.0 3.0))) (/ rand (sqrt (- a (/ 1.0 3.0)))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sqrt (- a (/ 1.0 3.0)))
116.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
57.0ms	(* 1/3 (- a (/ 1.0 3.0)))
174.0ms	(* (* 1/3 (- a (/ 1.0 3.0))) (/ rand (sqrt (- a (/ 1.0 3.0)))))

simplify715.0ms

Counts

171 → 171

Iterations

Iter	Nodes
2	2234
1	727
0	280

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	15
1	15
0	12

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.9s	27200×	body	80	nan
1.5s	9162×	body	80	valid