Details

sample40.0ms

Algorithm

intervals

Results

28.0ms

268×

body

valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize36.0ms

Local error

Found 3 expressions with local error:

27.5b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0b	(+ (* a c) (* b d))
0.0b	(+ (* c c) (* d d))

rewrite101.0ms

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:

Slowest

71.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
15.0ms	(+ (* c c) (* d d))
14.0ms	(+ (* a c) (* b d))

series236.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

143.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
52.0ms	(+ (* a c) (* b d))
41.0ms	(+ (* c c) (* d d))

simplify4.9s

Counts

77 → 65

Calls

77 calls:

Slowest

533.0ms	(* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))
386.0ms	(/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3)))
339.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
285.0ms	(+ (pow (* c c) 3) (pow (* d d) 3))
258.0ms	(/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune807.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.1b

localize31.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (+ (* c c) (* d d)))
27.6b	(sqrt (+ (* c c) (* d d)))
17.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
1.0b	(+ (* a c) (* b d))

rewrite85.0ms

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

54.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
11.0ms	(+ (* a c) (* b d))
8.0ms	(sqrt (+ (* c c) (* d d)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
56.0ms	(+ (* a c) (* b d))
50.0ms	(sqrt (+ (* c c) (* d d)))
40.0ms	(sqrt (+ (* c c) (* d d)))

simplify5.8s

Counts

126 → 100

Calls

126 calls:

Slowest

409.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
309.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
284.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
275.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
270.0ms	(/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.6b

localize24.0ms

Local error

Found 3 expressions with local error:

27.5b	(/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
1.0b	(+ (* b d) (* a c))
0.0b	(+ (* c c) (* d d))

rewrite77.0ms

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:

Slowest

52.0ms	(/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
13.0ms	(+ (* b d) (* a c))
12.0ms	(+ (* c c) (* d d))

series223.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

125.0ms	(/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
49.0ms	(+ (* b d) (* a c))
49.0ms	(+ (* c c) (* d d))

simplify5.6s

Counts

77 → 65

Calls

77 calls:

Slowest

527.0ms	(* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))
399.0ms	(- (* (* b d) (* b d)) (* (* a c) (* a c)))
394.0ms	(* (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))))
345.0ms	(/ (+ (* b d) (* a c)) (+ (pow (* c c) 3) (pow (* d d) 3)))
283.0ms	(+ (pow (* c c) 3) (pow (* d d) 3))

prune807.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 24.6b

localize67.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (+ (* c c) (* d d)))
27.6b	(sqrt (+ (* c c) (* d d)))
27.6b	(sqrt (+ (* c c) (* d d)))
17.5b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`sqrt-prod`
18×	`times-frac`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `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 → 92

Calls

4 calls:

Slowest

52.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
13.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
63.0ms	(sqrt (+ (* c c) (* d d)))
60.0ms	(sqrt (+ (* c c) (* d d)))
50.0ms	(sqrt (+ (* c c) (* d d)))

simplify5.9s

Counts

132 → 104

Calls

132 calls:

Slowest

367.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
322.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
322.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
316.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
307.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.7s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 24.6b

regimes465.0ms

Accuracy

0% (2.7b remaining)

Error of 26.0b against oracle of 23.2b and baseline of 26.0b

bsearch4.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8453×

body

valid