Details

sample63.0ms

Algorithm

intervals

Results

50.0ms

268×

body

valid

simplify9.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

9.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize18.0ms

Local error

Found 3 expressions with local error:

23.3b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.9b	(+ (* a c) (* b d))
0.0b	(+ (* c c) (* d d))

rewrite57.0ms

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

41.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
8.0ms	(+ (* c c) (* d d))
7.0ms	(+ (* a c) (* b d))

series232.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

121.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
63.0ms	(+ (* a c) (* b d))
48.0ms	(+ (* c c) (* d d))

simplify2.1s

Counts

40 → 65

Calls

40 calls:

Slowest

386.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
312.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
266.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
215.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))
175.0ms	(* (exp (* a c)) (exp (* b d)))

prune764.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.9b

localize38.0ms

Local error

Found 4 expressions with local error:

29.6b	(sqrt (+ (* c c) (* d d)))
29.6b	(sqrt (+ (* c c) (* d d)))
14.4b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.9b	(+ (* a c) (* b d))

rewrite61.0ms

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

40.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
7.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
56.0ms	(sqrt (+ (* c c) (* d d)))
45.0ms	(sqrt (+ (* c c) (* d d)))
44.0ms	(+ (* a c) (* b d))

simplify3.5s

Counts

77 → 100

Calls

77 calls:

Slowest

403.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
321.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
316.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
272.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
265.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.4b

localize60.0ms

Local error

Found 4 expressions with local error:

29.6b	(sqrt (+ (* c c) (* d d)))
29.6b	(sqrt (+ (* c c) (* d d)))
14.5b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
0.9b	(+ (* a c) (* b d))

rewrite45.0ms

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:

Slowest

17.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
12.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(sqrt (+ (* c c) (* d d)))
7.0ms	(+ (* a c) (* b d))

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
69.0ms	(sqrt (+ (* c c) (* d d)))
62.0ms	(sqrt (+ (* c c) (* d d)))
41.0ms	(+ (* a c) (* b d))

simplify3.6s

Counts

77 → 100

Calls

77 calls:

Slowest

643.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
360.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
293.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
276.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
242.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 21.4b

localize45.0ms

Local error

Found 4 expressions with local error:

29.6b	(sqrt (+ (* c c) (* d d)))
29.6b	(sqrt (+ (* c c) (* d d)))
29.6b	(sqrt (+ (* c c) (* d d)))
29.6b	(sqrt (+ (* c c) (* d d)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

Slowest

11.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

50.0ms	(sqrt (+ (* c c) (* d d)))
49.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))
46.0ms	(sqrt (+ (* c c) (* d d)))

simplify2.3s

Counts

40 → 76

Calls

40 calls:

Slowest

334.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
320.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
273.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
269.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
264.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 21.4b

regimes509.0ms

Accuracy

0% (2.6b remaining)

Error of 25.7b against oracle of 23.1b and baseline of 25.7b

bsearch4.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8460×

body

valid