Details

sample164.0ms

Algorithm

intervals

Results

97.0ms	794×	body	80	nan
32.0ms	291×	body	80	valid

simplify3.0s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.3b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0b	(* 9 (- a (/ 1.0 3.0)))

rewrite125.0ms

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:

Slowest

82.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
25.0ms	(* 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))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
142.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
75.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
67.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify782.0ms

Counts: 133 → 133

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (- a (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
0.3b	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
0.2b	(* 3 (sqrt (- a (/ 1.0 3.0))))
0.0b	(+ (* (- a (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

Slowest

71.0ms	(+ (* (- a (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))
67.0ms	(* (- a (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
37.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
18.0ms	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

158.0ms	(* (- a (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
155.0ms	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
118.0ms	(+ (* (- a (/ 1.0 3.0)) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))
94.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))

simplify1.6s

Counts: 127 → 127

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
0.4b	(* (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)))))
0.2b	(* 3 (sqrt (- a (/ 1.0 3.0))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
34×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
21×	`-un-lft-identity` `associate-l*`
20×	`sqrt-prod`
19×	`associate-r`
18×	`frac-times`
17×	`flip3--` `flip--`
15×	`associate-*r/` `add-cube-cbrt`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1`
10×	`associate-*l/`
9×	`times-frac`
6×	`cbrt-undiv` `div-exp` `difference-of-squares`
5×	`pow-prod-down`
4×	`associate-/r/` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`-commutative` `associate-/l` `distribute-lft-out--`
2×	`div-inv`
1×	`clear-num` `associate-/r*` `frac-2neg`

Counts

4 → 139

Calls

4 calls:

Slowest

132.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))))
50.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))
19.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
11.0ms	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))))
140.0ms	(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
88.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))
13.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))))

simplify1.2s

Counts: 151 → 151

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (- a (/ 1.0 3.0))) (* 1/3 rand))
0.3b	(* 1/3 rand)
0.0b	(+ (* (sqrt (- a (/ 1.0 3.0))) (* 1/3 rand)) (- a (/ 1.0 3.0)))
0.0b	(sqrt (- a (/ 1.0 3.0)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`pow1` `associate-l` `sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt` `add-log-exp`
8×	`sqrt-div`
6×	`flip3--` `associate-*l/` `flip--`
4×	`associate-r` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `insert-posit16` `difference-of-squares`
2×	`associate-+r+` `sum-log` `times-frac` `*-commutative` `distribute-lft-out--`
1×	`+-commutative` `rem-sqrt-square` `associate-+r-` `sub-neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

Slowest

49.0ms	(+ (* (sqrt (- a (/ 1.0 3.0))) (* 1/3 rand)) (- a (/ 1.0 3.0)))
49.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* 1/3 rand))
12.0ms	(sqrt (- a (/ 1.0 3.0)))
10.0ms	(* 1/3 rand)

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

158.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* 1/3 rand))
83.0ms	(+ (* (sqrt (- a (/ 1.0 3.0))) (* 1/3 rand)) (- a (/ 1.0 3.0)))
67.0ms	(sqrt (- a (/ 1.0 3.0)))
18.0ms	(* 1/3 rand)

simplify554.0ms

Counts: 98 → 98

prune965.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.6s	27041×	body	80	nan
1.0s	9094×	body	80	valid