Details

sample41.0ms

Algorithm

intervals

Results

24.0ms

264×

body

valid

simplify36.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	66
3	48
2	36
1	19
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.2b	(- (* b c) (* a d))
28.8b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

8.0ms	(+ (* c c) (* d d))
8.0ms	(- (* b c) (* a d))
37.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* c c) (* d d))
65.0ms	(- (* b c) (* a d))
116.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1680
1	318
0	102

prune374.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b c) (* a d))
18.9b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.5b	(sqrt (+ (* c c) (* d d)))
28.5b	(sqrt (+ (* c c) (* d d)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

13.0ms	(- (* b c) (* a d))
27.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b c) (* a d))
119.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
39.0ms	(sqrt (+ (* c c) (* d d)))
56.0ms	(sqrt (+ (* c c) (* d d)))

simplify981.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1126
1	311
0	121

prune527.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d d) (* c c))
0.2b	(- (* b c) (* a d))
28.8b	(/ (- (* b c) (* a d)) (+ (* d d) (* c c)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

9.0ms	(+ (* d d) (* c c))
13.0ms	(- (* b c) (* a d))
41.0ms	(/ (- (* b c) (* a d)) (+ (* d d) (* c c)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* d d) (* c c))
55.0ms	(- (* b c) (* a d))
102.0ms	(/ (- (* b c) (* a d)) (+ (* d d) (* c c)))

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
2	1681
1	318
0	102

prune376.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* d d) (* c c))
0.2b	(- (* b c) (* a d))
0.3b	(/ 1 (/ (+ (* d d) (* c c)) (- (* b c) (* a d))))
28.7b	(/ (+ (* d d) (* c c)) (- (* b c) (* a d)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp` `add-log-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 142

Calls

4 calls:

9.0ms	(+ (* d d) (* c c))
9.0ms	(- (* b c) (* a d))
31.0ms	(/ 1 (/ (+ (* d d) (* c c)) (- (* b c) (* a d))))
51.0ms	(/ (+ (* d d) (* c c)) (- (* b c) (* a d)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* d d) (* c c))
54.0ms	(- (* b c) (* a d))
166.0ms	(/ 1 (/ (+ (* d d) (* c c)) (- (* b c) (* a d))))
76.0ms	(/ (+ (* d d) (* c c)) (- (* b c) (* a d)))

simplify1.7s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	3528
1	591
0	209

prune640.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 24.8b

regimes327.0ms

Accuracy

-9.7% (3.0b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 25.9b

bsearch72.0ms

Steps

Iters	Range		Point
4	2.99988769581893e+36	5.314606313626179e+36	5.2422713568197025e+36
9	-3.137566432904386e+97	-7.171553699074835e+91	-1.2109434524169916e+96

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

979.0ms

8412×

body

valid