Details

sample184.0ms

Algorithm

intervals

Results

96.0ms	799×	body	80	nan
57.0ms	284×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
5	2003
4	806
3	225
2	76
1	30
0	14

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))))
0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
1.1b	(sqrt (* 9 (- a (/ 1.0 3.0))))
8.6b	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

50.0ms	(+ (- a (/ 1.0 3.0)) (* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))))
10.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
6.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
50.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (- a (/ 1.0 3.0)) (* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))))
150.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
73.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
150.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	2003
2	2003
1	771
0	289

prune647.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.0b	(+ (- a (/ 1.0 3.0)) (* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
0.3b	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
8.6b	(* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
356×	`add-sqr-sqrt`
252×	`*-un-lft-identity`
194×	`add-cube-cbrt`
170×	`sqrt-prod`
123×	`associate-r`
58×	`difference-of-squares`
29×	`distribute-lft-out--`
21×	`div-inv`
18×	`add-cbrt-cube` `add-exp-log`
14×	`flip3--` `flip--`
13×	`associate-/l*`
10×	`frac-add`
9×	`associate-/r*` `add-log-exp`
7×	`pow1`
6×	`frac-times` `cbrt-undiv` `sqrt-div` `div-exp` `associate-l` `associate-*l/`
5×	`unswap-sqr`
4×	`associate-/r/` `insert-posit16`
3×	`prod-exp` `associate-*r/` `cbrt-unprod`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `pow-prod-down` `*-commutative` `associate-+l-` `flip-+` `associate-/l/`

Counts

4 → 357

Calls

4 calls:

7.0ms	(sqrt (- a (/ 1.0 3.0)))
45.0ms	(+ (- a (/ 1.0 3.0)) (* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
16.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
65.0ms	(* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (- a (/ 1.0 3.0)))
136.0ms	(+ (- a (/ 1.0 3.0)) (* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
137.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
171.0ms	(* (- a (/ 1.0 3.0)) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

simplify1.4s

Counts

369 → 369

Iterations

Iter	Nodes
done	2001
2	2001
1	1522
0	558

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))))
0.3b	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
8.3b	(* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

446×	`times-frac`
374×	`add-sqr-sqrt`
254×	`*-un-lft-identity`
196×	`add-cube-cbrt`
183×	`sqrt-prod`
124×	`associate-r`
80×	`sqrt-div`
58×	`difference-of-squares`
57×	`flip3--` `flip--`
50×	`frac-times`
34×	`frac-add`
32×	`add-cbrt-cube` `add-exp-log`
29×	`distribute-lft-out--`
26×	`associate-*l/`
25×	`associate-*r/`
21×	`div-inv`
18×	`associate-l`
13×	`associate-/l*`
11×	`pow1`
10×	`prod-exp` `cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv` `associate-/r*` `div-exp` `add-log-exp`
4×	`pow-prod-down` `associate-/r/` `insert-posit16`
2×	`associate-+l+` `sum-log` `*-commutative`
1×	`+-commutative` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 417

Calls

4 calls:

46.0ms	(+ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))))
15.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
111.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
60.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))))
161.0ms	(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))
176.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))))
22.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))))

simplify1.7s

Counts

429 → 429

Iterations

Iter	Nodes
done	2002
2	2002
1	1857
0	661

prune2.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3)))
0.3b	(/ rand (cbrt 3))
1.0b	(/ (/ 1 (* (cbrt 3) (cbrt 3))) (/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3))))
8.6b	(* (- a (/ 1.0 3.0)) (/ (/ 1 (* (cbrt 3) (cbrt 3))) (/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3)))))

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

10278×	`times-frac`
5299×	`add-sqr-sqrt`
4156×	`*-un-lft-identity`
3441×	`add-cube-cbrt`
2127×	`sqrt-prod`
1426×	`associate-r`
1323×	`cbrt-prod`
708×	`difference-of-squares`
571×	`div-inv`
354×	`distribute-lft-out--`
231×	`associate-/r*`
190×	`add-exp-log`
112×	`div-exp`
74×	`add-cbrt-cube`
52×	`cbrt-undiv`
40×	`prod-exp`
22×	`unswap-sqr`
19×	`associate-/l*`
18×	`associate-/r/`
16×	`cbrt-unprod`
12×	`rec-exp` `1-exp`
6×	`pow1` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `flip--` `associate-/l/`
2×	`frac-times` `sqrt-div` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 3462

Calls

4 calls:

22.0ms	(/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3)))
8.0ms	(/ rand (cbrt 3))
55.0ms	(/ (/ 1 (* (cbrt 3) (cbrt 3))) (/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3))))
143.0ms	(* (- a (/ 1.0 3.0)) (/ (/ 1 (* (cbrt 3) (cbrt 3))) (/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3)))))

series824.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3)))
66.0ms	(/ rand (cbrt 3))
228.0ms	(/ (/ 1 (* (cbrt 3) (cbrt 3))) (/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3))))
240.0ms	(* (- a (/ 1.0 3.0)) (/ (/ 1 (* (cbrt 3) (cbrt 3))) (/ (sqrt (- a (/ 1.0 3.0))) (/ rand (cbrt 3)))))

simplify4.0s

Counts

3474 → 3474

Iterations

Iter	Nodes
done	3234
0	3234

prune21.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample6.6s

Algorithm

intervals

Results

4.4s	28124×	body	80	nan
1.3s	9108×	body	80	valid