Details

sample202.0ms

Algorithm

intervals

Results

129.0ms	891×	body	80	nan
35.0ms	285×	body	80	valid

simplify2.5s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.2b	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

rewrite187.0ms

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×	`expm1-log1p-u` `frac-times` `associate-/r*` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-/r/` `insert-posit16` `log1p-expm1-u` `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 → 136

Calls

4 calls:

Slowest

93.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
40.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
38.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
15.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series547.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

236.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
129.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
101.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
81.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.1s

Counts: 148 → 148

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
0.2b	(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)))
0.0b	(* 9 (- a (/ 1.0 3.0)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
81×	`add-cube-cbrt`
78×	`prod-diff`
56×	`times-frac`
42×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log`
14×	`associate-l`
12×	`associate-r`
11×	`pow1`
10×	`pow-unpow` `add-cbrt-cube`
8×	`prod-exp`
6×	`div-inv`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-l/` `pow-exp` `associate-r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `pow-prod-down` `*-commutative` `cbrt-unprod` `flip-+` `sqr-pow`
2×	`neg-sub0` `pow-to-exp` `pow-neg` `sub-neg` `unpow-prod-down` `pow-pow` `distribute-lft-out--` `pow-sub`
1×	`neg-mul-1`

Counts

4 → 199

Calls

4 calls:

Slowest

55.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)))
48.0ms	(* 9 (- a (/ 1.0 3.0)))
29.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
15.0ms	(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))

series603.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
160.0ms	(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
138.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)))
50.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify759.0ms

Counts: 211 → 211

prune3.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

10.8b	(* (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand) (- a (/ 1.0 3.0)))
0.4b	(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
0.2b	(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
0.0b	(* 9 (- a (/ 1.0 3.0)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

163×	`add-sqr-sqrt`
156×	`prod-diff`
152×	`*-un-lft-identity`
148×	`add-cube-cbrt`
110×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-exp-log`
17×	`prod-exp`
15×	`associate-r`
13×	`add-cbrt-cube`
12×	`div-inv`
11×	`pow1`
10×	`pow-unpow` `associate-*l/`
9×	`associate-l`
6×	`pow-exp`
5×	`neg-sub0` `pow-neg` `cbrt-unprod` `pow-sub`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `pow-prod-down` `*-commutative` `unswap-sqr` `sqr-pow`
2×	`unpow-prod-down` `pow-pow` `distribute-lft-out--`
1×	`neg-mul-1`

Counts

4 → 281

Calls

4 calls:

Slowest

76.0ms	(* (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand) (- a (/ 1.0 3.0)))
46.0ms	(* 9 (- a (/ 1.0 3.0)))
33.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
21.0ms	(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))

series700.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

270.0ms	(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
210.0ms	(* (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand) (- a (/ 1.0 3.0)))
157.0ms	(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
64.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify1.1s

Counts: 293 → 293

prune4.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (sqrt 1) (sqrt 9)) (* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand))
0.3b	(/ (sqrt 1) (sqrt (- a (/ 1.0 3.0))))
0.2b	(* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand)
0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ (sqrt 1) (sqrt 9)) (* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

187×	`add-sqr-sqrt`
178×	`sqrt-prod`
164×	`times-frac`
127×	`*-un-lft-identity`
106×	`associate-l`
97×	`add-cube-cbrt`
34×	`add-cbrt-cube` `add-exp-log`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
13×	`pow1` `prod-exp` `cbrt-unprod`
9×	`associate-/r*`
8×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`associate-l/` `associate-/l`
5×	`frac-times` `flip3--` `pow-prod-down` `flip--`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`distribute-rgt-in` `sqrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in`

Counts

4 → 277

Calls

4 calls:

Slowest

73.0ms	(* (/ (sqrt 1) (sqrt 9)) (* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand))
45.0ms	(* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand)
42.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ (sqrt 1) (sqrt 9)) (* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand))))
18.0ms	(/ (sqrt 1) (sqrt (- a (/ 1.0 3.0))))

series635.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

248.0ms	(* (/ (sqrt 1) (sqrt 9)) (* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand))
216.0ms	(* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand)
100.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ (sqrt 1) (sqrt 9)) (* (/ (sqrt 1) (sqrt (- a (/ 1.0 3.0)))) rand))))
71.0ms	(/ (sqrt 1) (sqrt (- a (/ 1.0 3.0))))

simplify2.3s

Counts: 289 → 289

prune4.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.9s	27399×	body	80	nan
1.3s	9104×	body	80	valid