Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

272×

body

valid

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	70
5	70
4	66
3	48
2	36
1	19
0	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.0b	(- (* b c) (* a d))
25.8b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite40.0ms

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:

7.0ms	(+ (* c c) (* d d))
11.0ms	(- (* b c) (* a d))
21.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* c c) (* d d))
51.0ms	(- (* b c) (* a d))
113.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	2005
3	2005
2	1065
1	303
0	102

prune659.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
17.0b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.9b	(sqrt (+ (* c c) (* d d)))
28.9b	(sqrt (+ (* c c) (* d d)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`flip3--` `flip--`

Counts

4 → 270

Calls

4 calls:

34.0ms	(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
27.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
9.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
165.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
54.0ms	(sqrt (+ (* c c) (* d d)))
59.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Counts

282 → 282

Iterations

Iter	Nodes
done	2000
2	2000
1	745
0	310

prune3.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.7b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.0b	(- (* b c) (* a d))
25.8b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite38.0ms

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:

7.0ms	(+ (* c c) (* d d))
9.0ms	(- (* b c) (* a d))
21.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* c c) (* d d))
57.0ms	(- (* b c) (* a d))
94.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	2005
3	2005
2	1065
1	303
0	102

prune705.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 23.7b

localize39.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (sqrt (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))
28.9b	(sqrt (+ (* c c) (* d d)))
28.9b	(sqrt (+ (* c c) (* d d)))
28.9b	(sqrt (+ (* c c) (* d d)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

387×	`times-frac`
300×	`sqrt-prod`
211×	`add-sqr-sqrt`
208×	`*-un-lft-identity` `add-cube-cbrt`
36×	`sqrt-div`
33×	`associate-/r*`
15×	`associate-/r/`
11×	`flip3-+` `flip-+`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`pow1`
6×	`associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp`
2×	`associate-/l/`
1×	`clear-num` `frac-2neg`

Counts

4 → 303

Calls

4 calls:

29.0ms	(/ (sqrt (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(/ (sqrt (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))
59.0ms	(sqrt (+ (* c c) (* d d)))
52.0ms	(sqrt (+ (* c c) (* d d)))
63.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.2s

Counts

315 → 315

Iterations

Iter	Nodes
done	2000
2	2000
1	963
0	370

prune3.8s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.7b

regimes361.0ms

Accuracy

0% (2.6b remaining)

Error of 25.6b against oracle of 23.0b and baseline of 25.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8470×

body

valid