Details

sample562.0ms

Algorithm

intervals

Results

77.0ms	44×	body	2560	valid
37.0ms	10×	body	640	valid
35.0ms	179×	body	80	valid
29.0ms	32×	body	1280	valid
16.0ms	92×	body	80	nan
5.0ms	3×	body	5120	valid
1.0ms	4×	body	320	valid
1.0ms	4×	body	160	valid

simplify123.0ms

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize38.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.0b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite610.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

496.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
80.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
18.0ms	(sqrt (- (* b_2 b_2) (* a c)))
13.0ms	(- (* b_2 b_2) (* a c))

series399.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
119.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
115.0ms	(sqrt (- (* b_2 b_2) (* a c)))
45.0ms	(- (* b_2 b_2) (* a c))

simplify900.0ms

Counts: 100 → 100

prune983.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.8b

localize40.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.0b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

Slowest

131.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
44.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.0ms	(- (* b_2 b_2) (* a c))
15.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
92.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
86.0ms	(sqrt (- (* b_2 b_2) (* a c)))
48.0ms	(- (* b_2 b_2) (* a c))

simplify1.5s

Counts: 101 → 101

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.8b

localize42.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b_2 b_2) (* a c)))
25.5b	(sqrt (- (* b_2 b_2) (* a c)))
25.5b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div` `add-log-exp`
4×	`flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`sub-neg` `diff-log`

Counts

4 → 61

Calls

4 calls:

Slowest

12.0ms	(- (* b_2 b_2) (* a c))
12.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(sqrt (- (* b_2 b_2) (* a c)))
100.0ms	(sqrt (- (* b_2 b_2) (* a c)))
85.0ms	(sqrt (- (* b_2 b_2) (* a c)))
61.0ms	(- (* b_2 b_2) (* a c))

simplify1.2s

Counts: 73 → 73

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(* -1/2 (/ c b_2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

Slowest

16.0ms

(* -1/2 (/ c b_2))

series38.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

38.0ms

(* -1/2 (/ c b_2))

simplify1.1s

Counts: 36 → 36

prune313.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 5.7b

regimes574.0ms

Accuracy

84.5% (4.3b remaining)

Error of 10.0b against oracle of 5.7b and baseline of 33.7b

bsearch185.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

984.0ms	1099×	body	2560	valid
948.0ms	5825×	body	80	valid
760.0ms	2907×	body	80	nan
641.0ms	905×	body	1280	valid
210.0ms	462×	body	640	valid
106.0ms	122×	body	5120	valid
81.0ms	236×	body	320	valid
24.0ms	100×	body	160	valid