Details

sample195.0ms

Algorithm

intervals

Results

122.0ms	914×	body	80	nan
35.0ms	282×	body	80	valid

simplify2.1s

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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

173×	`add-sqr-sqrt`
139×	`sqrt-prod`
124×	`times-frac`
109×	`*-un-lft-identity`
95×	`associate-l`
81×	`add-cube-cbrt`
63×	`associate-r`
36×	`associate-/r*`
26×	`associate-*l/`
20×	`difference-of-squares` `unswap-sqr`
19×	`add-exp-log`
15×	`pow1`
13×	`add-cbrt-cube`
11×	`*-commutative`
10×	`distribute-lft-out--`
8×	`associate-*r/`
6×	`flip3--` `sqrt-div` `flip--` `associate-/l*`
5×	`prod-exp`
4×	`frac-times` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-/r/` `insert-posit16` `pow-flip` `add-log-exp`
3×	`flip3-+` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`
2×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `rem-sqrt-square` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `pow1/2` `1-exp`
1×	`inv-pow`

Counts

4 → 274

Calls

4 calls:

72.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
1.7s	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
317.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
90.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series519.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
110.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
205.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
126.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify2.4s

Counts

286 → 286

Iterations

Iter	Nodes
done	5004
2	3081
1	1069
0	409

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

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 (sqrt (* 9 (- a (/ 1.0 3.0)))))
7.0b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

195×	`add-sqr-sqrt`
167×	`sqrt-prod`
124×	`times-frac`
117×	`*-un-lft-identity`
96×	`associate-l`
91×	`add-cube-cbrt`
78×	`associate-r`
72×	`associate-/r*`
48×	`frac-times`
29×	`flip3--` `flip--`
26×	`difference-of-squares`
24×	`associate-*l/`
18×	`unswap-sqr`
13×	`add-cbrt-cube` `add-exp-log` `*-commutative` `distribute-lft-out--`
12×	`associate-/l*`
11×	`pow1`
10×	`associate-*r/`
6×	`sqrt-div`
4×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `div-exp` `div-inv`
1×	`pow1/2`

Counts

4 → 310

Calls

4 calls:

49.0ms	(* 9 (- a (/ 1.0 3.0)))
98.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
124.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
403.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 9 (- a (/ 1.0 3.0)))
89.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
186.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
143.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify2.3s

Counts

322 → 322

Iterations

Iter	Nodes
done	5005
2	4209
1	1351
0	449

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.3b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))
7.0b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) a)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

456×	`add-sqr-sqrt`
379×	`sqrt-prod`
309×	`associate-/r*`
307×	`*-un-lft-identity`
265×	`times-frac`
257×	`add-cube-cbrt`
225×	`distribute-neg-frac`
216×	`frac-times`
195×	`associate-l`
183×	`associate-r`
114×	`associate-/l*`
50×	`difference-of-squares`
48×	`associate-*l/`
38×	`clear-num` `frac-2neg`
35×	`unswap-sqr`
27×	`*-commutative`
25×	`distribute-lft-out--`
18×	`add-cbrt-cube` `add-exp-log`
17×	`associate-*r/`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
8×	`pow1` `sqrt-div` `associate-/r/`
6×	`div-inv`
4×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp`
2×	`pow-prod-down`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 643

Calls

4 calls:

95.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
94.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
446.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))
438.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) a)

series837.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
173.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
178.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))
317.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) a)

simplify2.2s

Counts

655 → 655

Iterations

Iter	Nodes
done	5001
1	2582
0	773

prune3.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))
0.2b	(* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))))
7.0b	(* (/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

557×	`sqrt-prod`
539×	`add-sqr-sqrt`
306×	`associate-r`
267×	`associate-l`
255×	`times-frac`
207×	`*-un-lft-identity`
181×	`add-cube-cbrt`
173×	`unswap-sqr`
156×	`associate-/r*`
90×	`frac-times`
50×	`flip3--` `flip--`
45×	`associate-*l/`
26×	`difference-of-squares`
25×	`*-commutative`
18×	`associate-*r/`
17×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out--`
12×	`associate-/l*`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`rem-sqrt-square` `pow-prod-down`
6×	`sub-neg` `sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`pow1/2`

Counts

4 → 580

Calls

4 calls:

281.0ms	(sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))
187.0ms	(* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))
389.0ms	(/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))))
1.2s	(* (/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

series784.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))
66.0ms	(* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))
501.0ms	(/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))))
132.0ms	(* (/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

simplify2.2s

Counts

592 → 592

Iterations

Iter	Nodes
done	5000
1	2006
0	667

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes186.0ms

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	14

end0.0ms

sample6.8s

Algorithm

intervals

Results

4.0s	27682×	body	80	nan
1.4s	9061×	body	80	valid