Details

sample224.0ms

Algorithm

intervals

Results

22.0ms	30×	body	2560	valid
21.0ms	182×	body	80	valid
18.0ms	32×	body	1280	valid
13.0ms	86×	body	80	nan
4.0ms	9×	body	640	valid
4.0ms	5×	body	5120	valid
3.0ms	9×	body	320	valid
2.0ms	7×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	29
5	29
4	27
3	25
2	22
1	14
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.4b	(- (* b_2 b_2) (* a c))
2.3b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.7b	(sqrt (- (* b_2 b_2) (* a c)))

rewrite169.0ms

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:

94.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
14.0ms	(- (* b_2 b_2) (* a c))
35.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series547.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
42.0ms	(- (* b_2 b_2) (* a c))
82.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
110.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
3	2923
2	999
1	378
0	158

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.4b	(- (* b_2 b_2) (* a c))
2.3b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.7b	(sqrt (- (* b_2 b_2) (* a c)))

rewrite135.0ms

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:

80.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
7.0ms	(- (* b_2 b_2) (* a c))
39.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
53.0ms	(- (* b_2 b_2) (* a c))
128.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
92.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify1.0s

Counts

100 → 100

Iterations

Iter	Nodes
3	2923
2	999
1	378
0	158

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
1.4b	(- (* b_2 b_2) (* a c))
2.3b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.7b	(sqrt (- (* b_2 b_2) (* a c)))

rewrite190.0ms

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:

112.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
12.0ms	(- (* b_2 b_2) (* a c))
51.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
14.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
51.0ms	(- (* b_2 b_2) (* a c))
97.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
109.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
3	4057
2	1283
1	443
0	178

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

10.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.5s

Counts

36 → 36

Iterations

Iter	Nodes
4	2781
3	933
2	406
1	168
0	69

prune323.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 5.9b

regimes380.0ms

Accuracy

82.6% (4.8b remaining)

Error of 10.3b against oracle of 5.5b and baseline of 33.1b

bsearch141.0ms

Steps

Iters	Range		Point
7	6.1141969789339016e-111	5.505912162480727e-109	9.831724396970673e-110
8	-1.7996802595953755e+64	-1.2634430355867738e+61	-1.7729369216517423e+64

simplify4.0ms

Iterations

Iter	Nodes
2	28
1	28
0	24

end0.0ms

sample4.0s

Algorithm

intervals

Results

927.0ms	5849×	body	80	valid
899.0ms	1109×	body	2560	valid
623.0ms	420×	body	640	valid
578.0ms	886×	body	1280	valid
372.0ms	2875×	body	80	nan
124.0ms	114×	body	5120	valid
76.0ms	228×	body	320	valid
28.0ms	128×	body	160	valid