Details

sample51.0ms

Algorithm

intervals

Results

36.0ms

268×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	15
1	15
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.5b	(+ (* a c) (* b d))
24.9b	(/ (+ (* a c) (* b 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`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 56

Calls

3 calls:

11.0ms	(+ (* c c) (* d d))
10.0ms	(+ (* a c) (* b d))
33.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (* c c) (* d d))
65.0ms	(+ (* a c) (* b d))
122.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify1.4s

Counts

65 → 65

Iterations

Iter	Nodes
3	3862
2	1027
1	281
0	99

prune596.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 24.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
15.3b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.2b	(sqrt (+ (* c c) (* d d)))
28.2b	(sqrt (+ (* c c) (* d d)))

rewrite53.0ms

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`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

8.0ms	(+ (* a c) (* b d))
27.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(sqrt (+ (* c c) (* d d)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* a c) (* b d))
158.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
37.0ms	(sqrt (+ (* c c) (* d d)))
54.0ms	(sqrt (+ (* c c) (* d d)))

simplify795.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2097
2	760
1	280
0	117

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.4b	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
0.5b	(+ (* a c) (* b d))
24.7b	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite86.0ms

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×	`flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 141

Calls

4 calls:

9.0ms	(+ (* c c) (* d d))
29.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
7.0ms	(+ (* a c) (* b d))
38.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* c c) (* d d))
173.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
46.0ms	(+ (* a c) (* b d))
63.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify7.6s

Counts

153 → 153

Iterations

Iter	Nodes
3	6867
2	1845
1	567
0	208

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
15.4b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
28.2b	(sqrt (+ (* c c) (* d d)))
28.2b	(sqrt (+ (* c c) (* d d)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(+ (* a c) (* b d))
17.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* a c) (* b d))
78.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
37.0ms	(sqrt (+ (* c c) (* d d)))
37.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
4	4738
3	1867
2	744
1	270
0	115

prune816.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.8b

regimes242.0ms

Accuracy

0% (1.9b remaining)

Error of 26.0b against oracle of 24.1b and baseline of 26.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	13

end0.0ms

sample985.0ms

Algorithm

intervals

Results

781.0ms

8476×

body

valid