Details

sample131.0ms

Algorithm

intervals

Results

34.0ms	189×	body	80	valid
26.0ms	30×	body	2560	valid
16.0ms	22×	body	1280	valid
13.0ms	95×	body	80	nan
11.0ms	18×	body	640	valid
4.0ms	11×	body	320	valid
3.0ms	3×	body	5120	valid
1.0ms	4×	body	160	valid

simplify141.0ms

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.8b

localize24.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (fma c (* -3 a) (* b b)))
1.5b	(- (sqrt (fma c (* -3 a) (* b b))) b)
0.2b	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
0.1b	(fma c (* -3 a) (* b b))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff` `sqrt-prod`
9×	`add-cbrt-cube` `add-exp-log`
6×	`times-frac` `fma-neg` `associate-/l*` `add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`rem-sqrt-square` `clear-num` `associate-/r*` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 102

Calls

4 calls:

Slowest

28.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
7.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
1.0ms	(sqrt (fma c (* -3 a) (* b b)))
0.0ms	(fma c (* -3 a) (* b b))

series384.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
103.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
96.0ms	(sqrt (fma c (* -3 a) (* b b)))
71.0ms	(fma c (* -3 a) (* b b))

simplify446.0ms

Counts: 145 → 114

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 31.6b

localize34.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (fma c (* -3 a) (* b b)))
1.5b	(- (sqrt (fma c (* -3 a) (* b b))) b)
0.2b	(/ (/ (- (sqrt (fma c (* -3 a) (* b b))) b) 3) a)
0.1b	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) 3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

162×	`add-sqr-sqrt`
156×	`times-frac`
127×	`*-un-lft-identity`
93×	`add-cube-cbrt`
34×	`difference-of-squares`
32×	`sqrt-prod`
28×	`associate-/l*`
18×	`prod-diff`
17×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `fma-neg` `div-inv` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 213

Calls

4 calls:

Slowest

17.0ms	(/ (/ (- (sqrt (fma c (* -3 a) (* b b))) b) 3) a)
16.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) 3)
15.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
2.0ms	(sqrt (fma c (* -3 a) (* b b)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(/ (- (sqrt (fma c (* -3 a) (* b b))) b) 3)
103.0ms	(/ (/ (- (sqrt (fma c (* -3 a) (* b b))) b) 3) a)
100.0ms	(sqrt (fma c (* -3 a) (* b b)))
95.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)

simplify301.0ms

Counts: 336 → 225

prune2.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 31.6b

localize26.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (fma c (* -3 a) (* b b)))
1.5b	(- (sqrt (fma c (* -3 a) (* b b))) b)
0.2b	(/ 1 (/ (* 3 a) (- (sqrt (fma c (* -3 a) (* b b))) b)))
0.2b	(/ (* 3 a) (- (sqrt (fma c (* -3 a) (* b b))) b))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
66×	`times-frac`
56×	`*-un-lft-identity`
42×	`add-cube-cbrt`
30×	`add-exp-log`
22×	`sqrt-prod`
18×	`associate-/r*` `add-cbrt-cube` `prod-diff`
14×	`div-exp` `difference-of-squares`
11×	`associate-/r/`
7×	`cbrt-undiv` `distribute-lft-out--`
6×	`pow1` `flip3--` `fma-neg` `div-inv` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`rec-exp` `1-exp`
2×	`clear-num` `frac-2neg` `cbrt-unprod`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 169

Calls

4 calls:

Slowest

16.0ms	(/ 1 (/ (* 3 a) (- (sqrt (fma c (* -3 a) (* b b))) b)))
15.0ms	(/ (* 3 a) (- (sqrt (fma c (* -3 a) (* b b))) b))
10.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
1.0ms	(sqrt (fma c (* -3 a) (* b b)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

258.0ms	(/ (* 3 a) (- (sqrt (fma c (* -3 a) (* b b))) b))
164.0ms	(/ 1 (/ (* 3 a) (- (sqrt (fma c (* -3 a) (* b b))) b)))
119.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
84.0ms	(sqrt (fma c (* -3 a) (* b b)))

simplify793.0ms

Counts: 247 → 181

prune2.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 15.0b

localize27.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (fma c (* -3 a) (* b b)))
1.5b	(- (sqrt (fma c (* -3 a) (* b b))) b)
0.2b	(/ 1 (/ 3 (/ (- (sqrt (fma c (* -3 a) (* b b))) b) a)))
0.2b	(/ 3 (/ (- (sqrt (fma c (* -3 a) (* b b))) b) a))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

831×	`times-frac`
563×	`add-sqr-sqrt`
464×	`*-un-lft-identity`
366×	`add-cube-cbrt`
98×	`difference-of-squares`
93×	`associate-/r*`
64×	`sqrt-prod`
49×	`distribute-lft-out--`
30×	`add-exp-log`
22×	`div-inv`
18×	`add-cbrt-cube` `div-exp` `prod-diff`
9×	`cbrt-undiv`
6×	`pow1` `fma-neg` `associate-/r/` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `1-exp`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `pow-flip` `flip--` `inv-pow`

Counts

4 → 482

Calls

4 calls:

Slowest

19.0ms	(/ 1 (/ 3 (/ (- (sqrt (fma c (* -3 a) (* b b))) b) a)))
16.0ms	(/ 3 (/ (- (sqrt (fma c (* -3 a) (* b b))) b) a))
8.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)
1.0ms	(sqrt (fma c (* -3 a) (* b b)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(/ 3 (/ (- (sqrt (fma c (* -3 a) (* b b))) b) a))
99.0ms	(/ 1 (/ 3 (/ (- (sqrt (fma c (* -3 a) (* b b))) b) a)))
90.0ms	(sqrt (fma c (* -3 a) (* b b)))
80.0ms	(- (sqrt (fma c (* -3 a) (* b b))) b)

simplify1.6s

Counts: 797 → 494

prune5.9s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 15.0b

regimes442.0ms

Accuracy

78% (4.6b remaining)

Error of 17.4b against oracle of 12.8b and baseline of 33.6b

bsearch94.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	5862×	body	80	valid
838.0ms	1056×	body	2560	valid
548.0ms	872×	body	1280	valid
429.0ms	3023×	body	80	nan
290.0ms	476×	body	640	valid
159.0ms	121×	body	5120	valid
142.0ms	241×	body	320	valid
24.0ms	105×	body	160	valid