Details

sample44.0ms

Algorithm

intervals

Results

25.0ms

271×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune340.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ (* a c) (* b d))
24.1b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

14.0ms	(+ (* a c) (* b d))
41.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* a c) (* b d))
101.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify2.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
3	2586
2	777
1	237
0	85

prune361.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
15.7b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.5b	(sqrt (+ (* c c) (* d d)))
28.5b	(sqrt (+ (* c c) (* d d)))

rewrite89.0ms

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:

7.0ms	(+ (* a c) (* b d))
54.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
13.0ms	(sqrt (+ (* c c) (* d d)))
13.0ms	(sqrt (+ (* c c) (* d d)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* a c) (* b d))
139.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
45.0ms	(sqrt (+ (* c c) (* d d)))
42.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	2122
2	772
1	281
0	117

prune548.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* a c) (* b d))
15.8b	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
28.5b	(sqrt (+ (* c c) (* d d)))
28.5b	(sqrt (+ (* c c) (* d d)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
22×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
5×	`unswap-sqr`
4×	`prod-exp` `insert-posit16`
3×	`associate-l`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

15.0ms	(+ (* a c) (* b d))
63.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* a c) (* b d))
132.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
54.0ms	(sqrt (+ (* c c) (* d d)))
69.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
3	3625
2	1216
1	403
0	146

prune452.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 22.2b

localize33.0ms

Local error

Found 4 expressions with local error:

8.3b	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
28.5b	(sqrt (+ (* c c) (* d d)))
28.5b	(sqrt (+ (* c c) (* d d)))
28.5b	(sqrt (+ (* c c) (* d d)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`sqrt-div`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

30.0ms	(/ (+ (* a c) (* b 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)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
42.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))
43.0ms	(sqrt (+ (* c c) (* d d)))

simplify1.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
3	1995
2	759
1	305
0	142

prune514.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 22.2b

regimes372.0ms

Accuracy

0% (2.4b remaining)

Error of 25.8b against oracle of 23.3b and baseline of 25.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample727.0ms

Algorithm

intervals

Results

546.0ms

8459×

body

valid