Details

sample67.0ms

Algorithm

intervals

Results

51.0ms

273×

body

valid

simplify15.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

15.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize20.0ms

Local error

Found 3 expressions with local error:

24.1b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.3b	(+ (* a c) (* b d))
0.0b	(+ (* c c) (* d d))

rewrite75.0ms

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

45.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
15.0ms	(+ (* a c) (* b d))
14.0ms	(+ (* c c) (* d d))

series209.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

119.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
50.0ms	(+ (* a c) (* b d))
40.0ms	(+ (* c c) (* d d))

simplify2.1s

Counts

40 → 65

Calls

40 calls:

Slowest

354.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
295.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
284.0ms	(/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
241.0ms	(* (exp (* a c)) (exp (* b d)))
237.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))

prune836.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.7b

localize54.0ms

Local error

Found 4 expressions with local error:

29.3b	(sqrt (+ (* c c) (* d d)))
29.3b	(sqrt (+ (* c c) (* d d)))
13.3b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.3b	(+ (* a c) (* b d))

rewrite77.0ms

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

43.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(sqrt (+ (* c c) (* d d)))
9.0ms	(+ (* a c) (* b d))

series359.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
70.0ms	(sqrt (+ (* c c) (* d d)))
64.0ms	(+ (* a c) (* b d))
53.0ms	(sqrt (+ (* c c) (* d d)))

simplify4.1s

Counts

77 → 100

Calls

77 calls:

Slowest

701.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
394.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
371.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
331.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
297.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.6b

localize46.0ms

Local error

Found 4 expressions with local error:

29.3b	(sqrt (+ (* c c) (* d d)))
29.3b	(sqrt (+ (* c c) (* d d)))
13.3b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
0.3b	(+ (* a c) (* b d))

rewrite49.0ms

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

26.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
8.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
66.0ms	(sqrt (+ (* c c) (* d d)))
61.0ms	(+ (* a c) (* b d))
46.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.2s

Counts

77 → 100

Calls

77 calls:

Slowest

369.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
274.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
262.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
244.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
234.0ms	(sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 22.6b

localize57.0ms

Local error

Found 4 expressions with local error:

29.3b	(sqrt (+ (* c c) (* d d)))
29.3b	(sqrt (+ (* c c) (* d d)))
13.3b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.3b	(+ (* a c) (* b d))

rewrite76.0ms

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

36.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
18.0ms	(sqrt (+ (* c c) (* d d)))
14.0ms	(+ (* a c) (* b d))
6.0ms	(sqrt (+ (* c c) (* d d)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
59.0ms	(+ (* a c) (* b d))
50.0ms	(sqrt (+ (* c c) (* d d)))
47.0ms	(sqrt (+ (* c c) (* d d)))

simplify3.5s

Counts

77 → 100

Calls

77 calls:

Slowest

400.0ms	(- (* (* a c) (* a c)) (* (* b d) (* b d)))
311.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
288.0ms	(sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
274.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
243.0ms	(+ (pow (* a c) 3) (pow (* b d) 3))

prune1.4s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 22.6b

regimes508.0ms

Accuracy

0% (2.6b remaining)

Error of 25.8b against oracle of 23.2b and baseline of 25.8b

bsearch4.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8470×

body

valid