Details

sample58.0ms

Algorithm

intervals

Results

39.0ms

273×

body

valid

simplify14.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize24.0ms

Local error

Found 2 expressions with local error:

24.8b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.4b	(+ (* a c) (* b d))

rewrite55.0ms

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:

Slowest

38.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
16.0ms	(+ (* a c) (* b d))

series155.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

108.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
46.0ms	(+ (* a c) (* b d))

simplify921.0ms

Counts: 50 → 50

prune628.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.4b

localize40.0ms

Local error

Found 4 expressions with local error:

28.6b	(sqrt (+ (* c c) (* d d)))
28.6b	(sqrt (+ (* c c) (* d d)))
15.7b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.4b	(+ (* a c) (* b d))

rewrite58.0ms

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:

Slowest

32.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
11.0ms	(+ (* a c) (* b d))
7.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
53.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(+ (* a c) (* b d))

simplify762.0ms

Counts: 100 → 100

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 21.7b

localize38.0ms

Local error

Found 4 expressions with local error:

28.6b	(sqrt (+ (* c c) (* d d)))
28.6b	(sqrt (+ (* c c) (* d d)))
15.8b	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
0.4b	(+ (* a c) (* b d))

rewrite94.0ms

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:

Slowest

60.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
11.0ms	(+ (* a c) (* b d))
11.0ms	(sqrt (+ (* c c) (* d d)))
10.0ms	(sqrt (+ (* c c) (* d d)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
57.0ms	(sqrt (+ (* c c) (* d d)))
55.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(+ (* a c) (* b d))

simplify1.8s

Counts: 110 → 110

prune1.8s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 21.7b

localize36.0ms

Local error

Found 3 expressions with local error:

24.7b	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
0.4b	(+ (* a c) (* b d))
0.3b	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 129

Calls

3 calls:

Slowest

42.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
30.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
8.0ms	(+ (* a c) (* b d))

series323.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

185.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
76.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
63.0ms	(+ (* a c) (* b d))

simplify660.0ms

Counts: 138 → 138

prune1.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.7b

regimes525.0ms

Accuracy

4.1% (2.5b remaining)

Error of 25.1b against oracle of 22.6b and baseline of 25.2b

bsearch45.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8498×

body

valid