Details

sample127.0ms

Algorithm

intervals

Results

27.0ms	37×	body	2560	valid
25.0ms	95×	body	80	nan
22.0ms	184×	body	80	valid
17.0ms	30×	body	1280	valid
9.0ms	18×	body	640	valid
4.0ms	5×	body	5120	valid
2.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify114.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize20.0ms

Local error

Found 4 expressions with local error:

24.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
1.0b	(- (* b b) (* (* 3 a) c))
0.5b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `insert-posit16` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 76

Calls

4 calls:

Slowest

61.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
35.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
12.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
8.0ms	(- (* b b) (* (* 3 a) c))

series319.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
81.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
72.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
46.0ms	(- (* b b) (* (* 3 a) c))

simplify1.8s

Counts: 88 → 88

prune945.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.7b

localize27.0ms

Local error

Found 4 expressions with local error:

24.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
1.0b	(- (* b b) (* (* 3 a) c))
0.4b	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-/r*` `times-frac` `sqrt-prod` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `insert-posit16` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/r/`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 75

Calls

4 calls:

Slowest

65.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
38.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
14.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
8.0ms	(- (* b b) (* (* 3 a) c))

series494.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

256.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
99.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
87.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
51.0ms	(- (* b b) (* (* 3 a) c))

simplify1.8s

Counts: 87 → 87

prune935.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.7b

localize22.0ms

Local error

Found 4 expressions with local error:

24.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
1.0b	(- (* b b) (* (* 3 a) c))
0.3b	(* 1/3 (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`associate-r`
19×	`times-frac`
16×	`add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp` `difference-of-squares`
7×	`pow1` `sqrt-prod`
4×	`insert-posit16` `distribute-lft-out--`
3×	`flip3--` `associate-l` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`

Counts

4 → 87

Calls

4 calls:

Slowest

83.0ms	(* 1/3 (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))
39.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
8.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
8.0ms	(- (* b b) (* (* 3 a) c))

series321.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(* 1/3 (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))
82.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
78.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
47.0ms	(- (* b b) (* (* 3 a) c))

simplify1.5s

Counts: 99 → 99

prune1.1s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.7b

localize31.0ms

Local error

Found 4 expressions with local error:

24.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
1.0b	(- (* b b) (* (* 3 a) c))
0.2b	(* 1/3 (- (sqrt (- (* b b) (* (* 3 a) c))) b))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-r` `add-exp-log`
5×	`sqrt-prod`
4×	`sub-neg` `flip3--` `insert-posit16` `flip--` `difference-of-squares`
3×	`associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `sqrt-div` `diff-log` `associate-*r/` `distribute-lft-out--`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

Slowest

75.0ms	(* 1/3 (- (sqrt (- (* b b) (* (* 3 a) c))) b))
40.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
12.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
10.0ms	(- (* b b) (* (* 3 a) c))

series313.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(* 1/3 (- (sqrt (- (* b b) (* (* 3 a) c))) b))
88.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
81.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
50.0ms	(- (* b b) (* (* 3 a) c))

simplify1.3s

Counts: 85 → 85

prune805.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 4.7b

regimes853.0ms

Accuracy

83.9% (4.5b remaining)

Error of 10.3b against oracle of 5.8b and baseline of 33.8b

bsearch165.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.2s	5923×	body	80	valid
1.0s	1105×	body	2560	valid
583.0ms	890×	body	1280	valid
416.0ms	2838×	body	80	nan
224.0ms	434×	body	640	valid
123.0ms	220×	body	320	valid
92.0ms	103×	body	5120	valid
22.0ms	100×	body	160	valid