Details

sample229.0ms

Algorithm

intervals

Results

121.0ms	881×	body	80	nan
67.0ms	289×	body	80	valid

simplify2.6s

Counts: 1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.6b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0b	(* 9 (- a (/ 1.0 3.0)))

rewrite180.0ms

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:

Slowest

114.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
30.0ms	(* 9 (- a (/ 1.0 3.0)))
20.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
14.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
142.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
84.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
73.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify871.0ms

Counts: 137 → 137

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(sqrt (* (- a (/ 1.0 3.0)) 9))
0.3b	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
0.2b	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
0.0b	(* (- a (/ 1.0 3.0)) 9)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
33×	`associate-r`
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-l`
8×	`associate-*l/`
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×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub` `associate-*r/`

Counts

4 → 140

Calls

4 calls:

Slowest

71.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
45.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
20.0ms	(* (- a (/ 1.0 3.0)) 9)
14.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9))

series363.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
77.0ms	(* (- a (/ 1.0 3.0)) 9)
71.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
61.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9))

simplify847.0ms

Counts: 152 → 152

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt 9)))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.0b	(+ (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt 9))) (- a (/ 1.0 3.0)))
0.0b	(/ (- a (/ 1.0 3.0)) (sqrt 9))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

208×	`add-sqr-sqrt`
158×	`times-frac`
118×	`*-un-lft-identity`
87×	`sqrt-prod`
78×	`add-cube-cbrt`
40×	`associate-r` `difference-of-squares`
33×	`associate-l`
20×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
15×	`associate-/r*`
9×	`associate-/l*` `add-log-exp` `unswap-sqr`
6×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `frac-add` `flip--`
4×	`sqrt-div` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `div-inv`
3×	`frac-times` `associate-l/` `associate-r/`
2×	`associate-+r+` `clear-num` `sum-log` `frac-2neg` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 243

Calls

4 calls:

Slowest

60.0ms	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt 9)))
30.0ms	(+ (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt 9))) (- a (/ 1.0 3.0)))
16.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9))
13.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt 9)))
131.0ms	(+ (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt 9))) (- a (/ 1.0 3.0)))
117.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
47.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9))

simplify1.6s

Counts: 255 → 255

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (/ (- a (/ 1.0 3.0)) (sqrt 9)))
0.2b	(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
0.2b	(/ 1 (sqrt (- a (/ 1.0 3.0))))
0.0b	(/ (- a (/ 1.0 3.0)) (sqrt 9))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

191×	`add-sqr-sqrt`
150×	`times-frac`
121×	`*-un-lft-identity`
83×	`sqrt-prod`
79×	`add-cube-cbrt`
73×	`associate-r`
54×	`add-exp-log`
40×	`difference-of-squares`
34×	`add-cbrt-cube`
22×	`prod-exp`
20×	`distribute-lft-out--`
15×	`associate-/r*`
14×	`div-exp`
13×	`pow1`
12×	`cbrt-unprod`
9×	`associate-/l*`
8×	`cbrt-undiv`
5×	`unswap-sqr`
4×	`rec-exp` `sqrt-div` `1-exp` `associate-l` `pow-prod-down` `associate-*r/` `associate-/r/` `insert-posit16` `div-inv` `add-log-exp`
3×	`flip3--` `un-div-inv` `pow-flip` `flip--`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative` `associate-/l/`
1×	`sqrt-pow1` `pow1/2` `div-sub` `inv-pow`

Counts

4 → 256

Calls

4 calls:

Slowest

60.0ms	(* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (/ (- a (/ 1.0 3.0)) (sqrt 9)))
32.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9))
26.0ms	(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
15.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

174.0ms	(* (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (/ (- a (/ 1.0 3.0)) (sqrt 9)))
120.0ms	(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
107.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
76.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9))

simplify1.3s

Counts: 268 → 268

prune3.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes144.0ms

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	27281×	body	80	nan
1.2s	9161×	body	80	valid