Details

sample154.0ms

Algorithm

intervals

Results

96.0ms	794×	body	80	nan
27.0ms	291×	body	80	valid

simplify1.7s

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
78×	`prod-diff`
67×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`associate-r` `associate-*r/`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow-prod-down` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

Slowest

28.0ms	(* 9 (- a (/ 1.0 3.0)))
23.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
23.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
1.0ms	(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
119.0ms	(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
80.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
60.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify1.1s

Counts: 183 → 183

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-sqr-sqrt`
164×	`*-un-lft-identity`
160×	`add-cube-cbrt`
156×	`prod-diff`
135×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
21×	`associate-l`
14×	`div-inv`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
10×	`associate-*r/`
8×	`sqrt-prod`
6×	`flip3--` `sqrt-div` `flip--`
4×	`expm1-log1p-u` `associate-/r*` `sub-neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `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` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `pow1/2` `associate-*l/`

Counts

4 → 289

Calls

4 calls:

Slowest

96.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
49.0ms	(* 9 (- a (/ 1.0 3.0)))
31.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
20.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
120.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
82.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
69.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify893.0ms

Counts: 301 → 301

prune4.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

238×	`add-sqr-sqrt`
234×	`prod-diff`
230×	`*-un-lft-identity`
228×	`add-cube-cbrt`
205×	`distribute-rgt-in` `distribute-lft-in`
188×	`times-frac`
24×	`associate-l`
20×	`div-inv`
18×	`associate-*r/`
17×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
11×	`sqrt-prod`
7×	`associate-r` `pow-prod-down`
6×	`sub-neg` `flip3--` `sqrt-div` `flip--`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow1/2` `associate-*l/` `distribute-lft-out--`

Counts

4 → 372

Calls

4 calls:

Slowest

176.0ms	(* (/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))
52.0ms	(* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))
49.0ms	(sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))
44.0ms	(/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))))
133.0ms	(* (/ rand (sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))
68.0ms	(sqrt (* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0)))))
67.0ms	(* (sqrt 9) (* (sqrt 9) (- a (/ 1.0 3.0))))

simplify1.3s

Counts: 384 → 384

prune5.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
0.4b	(* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.0b	(+ (* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

474×	`add-sqr-sqrt`
442×	`*-un-lft-identity`
429×	`prod-diff`
426×	`add-cube-cbrt`
379×	`times-frac`
369×	`distribute-rgt-in` `distribute-lft-in`
164×	`associate-+l+`
55×	`associate-l`
52×	`sqrt-prod`
50×	`add-exp-log`
41×	`associate-+r+`
36×	`div-inv`
32×	`add-cbrt-cube`
29×	`frac-times` `associate-*r/`
27×	`flip3--` `flip--`
22×	`frac-add` `prod-exp`
16×	`difference-of-squares`
12×	`div-exp` `cbrt-unprod`
11×	`pow1` `sub-neg`
10×	`associate-*l/`
9×	`associate-/r*` `add-log-exp`
8×	`distribute-lft-out--`
7×	`cbrt-undiv` `associate-r`
4×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`sum-log` `*-commutative`
1×	`+-commutative` `clear-num` `associate-+r-` `fma-def` `frac-2neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 674

Calls

4 calls:

Slowest

108.0ms	(+ (* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
93.0ms	(* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
76.0ms	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
15.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))
123.0ms	(* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
120.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
116.0ms	(+ (* (/ 1 (sqrt 9)) (* (/ rand (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))

simplify3.7s

Counts: 686 → 686

prune11.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.5s	27041×	body	80	nan
1.8s	9094×	body	80	valid