Details

sample85.0ms

Algorithm

intervals

Results

38.0ms	279×	body	80	valid
10.0ms	84×	body	80	nan

simplify186.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	168
7	168
6	166
5	160
4	151
3	125
2	75
1	38
0	20

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize167.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-log-exp`
7×	`sqrt-prod`
6×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--`
2×	`neg-sub0` `rem-sqrt-square` `sum-log` `distribute-rgt-neg-in` `sqrt-pow1` `pow1/2` `diff-log` `neg-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `+-commutative` `sub-neg` `flip3-+` `associate-+l-` `flip-+`

Counts

4 → 67

Calls

4 calls:

14.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
16.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
112.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
121.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
105.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	2698
2	773
1	250
0	102

prune605.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.9b

localize189.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4 a) c)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
154.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
170.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
129.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

simplify1.7s

Counts

70 → 70

Iterations

Iter	Nodes
done	5002
3	1931
2	578
1	202
0	89

prune673.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.9b

localize194.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4 a) c)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
11.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
125.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
167.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
140.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
3	1931
2	578
1	202
0	89

prune887.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.9b

localize174.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
11.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
136.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
115.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
93.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5010
3	1558
2	418
1	129
0	52

prune696.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.9b

regimes410.0ms

Accuracy

86.4% (1.6b remaining)

Error of 9.0b against oracle of 7.4b and baseline of 19.0b

bsearch270.0ms

Steps

Iters	Range		Point
7	5.455680955858941e+61	9.381769121995126e+63	1.3451554005288185e+63
7	-9.460060253608456e+39	-2.573022393154551e+38	-9.348931433494438e+39

simplify11.0ms

Iterations

Iter	Nodes
done	49
1	49
0	41

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.9s	8746×	body	80	valid
938.0ms	3007×	body	80	nan