Details

sample235.0ms

Algorithm

intervals

Results

143.0ms	782×	body	80	nan
47.0ms	291×	body	80	valid

simplify2.0s

Counts: 1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b	(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)))
0.0b	(* 9 (- a (/ 1.0 3.0)))

rewrite93.0ms

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

37.0ms	(* 9 (- a (/ 1.0 3.0)))
28.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
24.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0ms	(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
100.0ms	(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
81.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
52.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify1.3s

Counts: 183 → 183

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

7.0b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.2b	(/ 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)))

rewrite174.0ms

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

116.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
26.0ms	(* 9 (- a (/ 1.0 3.0)))
15.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
11.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
110.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
96.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
53.0ms	(* 9 (- a (/ 1.0 3.0)))

simplify946.0ms

Counts: 301 → 301

prune4.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite463.0ms

Algorithm

rewrite-expression-head

Rules

239×	`add-sqr-sqrt`
234×	`prod-diff`
230×	`*-un-lft-identity`
227×	`add-cube-cbrt`
205×	`distribute-rgt-in` `distribute-lft-in`
189×	`times-frac`
32×	`add-exp-log`
21×	`associate-l`
20×	`add-cbrt-cube` `div-inv`
18×	`pow1`
15×	`associate-*r/`
13×	`prod-exp`
8×	`sqrt-prod`
7×	`flip3--` `associate-r` `cbrt-unprod` `flip--`
6×	`sub-neg` `sqrt-div` `div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `frac-times` `associate-/r*` `sqrt-pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `pow-flip` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`pow1/2` `associate-l/` `-commutative` `difference-of-squares`
1×	`clear-num` `frac-2neg` `distribute-lft-out--` `inv-pow`

Counts

4 → 385

Calls

4 calls:

Slowest

278.0ms	(* rand (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
104.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
31.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
31.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series405.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(* rand (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
112.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
97.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
68.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.4s

Counts: 397 → 397

prune5.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

7.0b	(* (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.4b	(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.0b	(- a (/ 1.0 3.0))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
161×	`*-un-lft-identity`
146×	`times-frac`
143×	`add-cube-cbrt`
117×	`prod-diff`
43×	`sqrt-prod`
41×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
18×	`difference-of-squares`
11×	`pow1` `div-inv`
9×	`associate-/r*` `distribute-lft-out--`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `sqrt-div` `associate-l` `pow-prod-down` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `sub-neg` `fma-neg` `div-exp` `associate-/l*` `unswap-sqr`
2×	`frac-times` `*-commutative`
1×	`clear-num` `frac-2neg` `diff-log` `associate-*l/`

Counts

4 → 285

Calls

4 calls:

Slowest

75.0ms	(* (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
39.0ms	(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
17.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
13.0ms	(- a (/ 1.0 3.0))

series486.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

180.0ms	(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
153.0ms	(* (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
119.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
33.0ms	(- a (/ 1.0 3.0))

simplify1.0s

Counts: 297 → 297

prune3.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

4.4s	27506×	body	80	nan
1.8s	9086×	body	80	valid