Details

sample122.0ms

Algorithm

intervals

Results

69.0ms	909×	body	80	nan
18.0ms	293×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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)))))

rewrite274.0ms

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:

45.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
17.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
161.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
48.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
86.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
234.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
90.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify1.9s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	2787
1	769
0	281

prune535.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))))
7.3b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite230.0ms

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:

55.0ms	(* 9 (- a (/ 1.0 3.0)))
16.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
25.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
129.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 9 (- a (/ 1.0 3.0)))
60.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
145.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
125.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify1.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2286
1	656
0	251

prune656.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))))
0.3b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
7.3b	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
82×	`times-frac`
68×	`*-un-lft-identity`
55×	`associate-l`
52×	`add-cube-cbrt` `sqrt-prod`
50×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`frac-times` `associate-*r/`
27×	`flip3--` `flip--`
22×	`frac-add` `prod-exp`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`difference-of-squares`
12×	`div-exp` `cbrt-unprod`
11×	`pow1` `sub-neg`
10×	`associate-*l/`
9×	`associate-/r*` `add-log-exp`
8×	`associate-+r+` `distribute-lft-out--`
7×	`cbrt-undiv` `associate-r`
4×	`sqrt-div` `pow-prod-down` `associate-/r/` `insert-posit16`
3×	`rec-exp` `1-exp` `div-inv` `associate-/l*` `unswap-sqr`
2×	`associate-+l+` `sum-log` `*-commutative`
1×	`+-commutative` `clear-num` `frac-2neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 236

Calls

4 calls:

106.0ms	(+ (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))))
25.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
114.0ms	(* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
89.0ms	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))))
112.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
147.0ms	(* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
104.0ms	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

simplify2.4s

Counts

248 → 248

Iterations

Iter	Nodes
done	5001
2	4866
1	1311
0	459

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
0.3b	(/ 1 (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ 1 (sqrt 9)) (* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
7.3b	(* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite533.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-exp-log`
105×	`add-sqr-sqrt`
84×	`times-frac`
73×	`prod-exp`
71×	`*-un-lft-identity`
53×	`add-cube-cbrt` `sqrt-prod`
52×	`add-cbrt-cube`
40×	`associate-r`
26×	`div-exp` `associate-l`
25×	`cbrt-unprod`
24×	`associate-*r/`
22×	`pow1`
20×	`frac-times`
16×	`difference-of-squares`
13×	`rec-exp` `1-exp`
11×	`flip3--` `flip--`
10×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `un-div-inv`
9×	`cbrt-undiv` `associate-/r*`
8×	`distribute-lft-out--`
7×	`associate-*l/`
6×	`sub-neg`
5×	`unswap-sqr`
4×	`sqrt-div` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`-commutative` `div-inv` `pow-flip` `associate-/l`
1×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `inv-pow`

Counts

4 → 249

Calls

4 calls:

51.0ms	(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
24.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
308.0ms	(* (/ 1 (sqrt 9)) (* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
142.0ms	(* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
83.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
129.0ms	(* (/ 1 (sqrt 9)) (* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
79.0ms	(* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify2.0s

Counts

261 → 261

Iterations

Iter	Nodes
done	5000
2	3455
1	1134
0	406

prune890.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes103.0ms

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

sample4.0s

Algorithm

intervals

Results

2.6s	27659×	body	80	nan
718.0ms	9066×	body	80	valid