Details

sample62.0ms

Algorithm

intervals

Results

42.0ms

272×

body

valid

simplify124.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

124.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize19.0ms

Local error

Found 2 expressions with local error:

25.3b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.7b	(- (* b c) (* a d))

rewrite38.0ms

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` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

Slowest

31.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
7.0ms	(- (* b c) (* a d))

series192.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

129.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
63.0ms	(- (* b c) (* a d))

simplify2.5s

Counts

37 → 52

Calls

37 calls:

Slowest

365.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
321.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
298.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
200.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
126.0ms	(/ (exp (* b c)) (exp (* a d)))

prune509.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.9b

localize50.0ms

Local error

Found 4 expressions with local error:

29.2b	(sqrt (+ (* c c) (* d d)))
29.2b	(sqrt (+ (* c c) (* d d)))
15.2b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
0.7b	(- (* b c) (* a d))

rewrite83.0ms

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`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

Slowest

42.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
12.0ms	(sqrt (+ (* c c) (* d d)))
12.0ms	(- (* b c) (* a d))
12.0ms	(sqrt (+ (* c c) (* d d)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

176.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
57.0ms	(- (* b c) (* a d))
55.0ms	(sqrt (+ (* c c) (* d d)))
48.0ms	(sqrt (+ (* c c) (* d d)))

simplify4.7s

Counts

78 → 102

Calls

78 calls:

Slowest

414.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
353.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
329.0ms	(sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
290.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
285.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.2b

localize21.0ms

Local error

Found 3 expressions with local error:

25.2b	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
0.7b	(- (* b c) (* a d))
0.2b	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))

rewrite58.0ms

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`
6×	`flip3--` `div-inv` `flip--` `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×	`sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 130

Calls

3 calls:

Slowest

32.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
18.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
7.0ms	(- (* b c) (* a d))

series291.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

168.0ms	(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
66.0ms	(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))
57.0ms	(- (* b c) (* a d))

simplify12.2s

Counts

154 → 139

Calls

154 calls:

Slowest

404.0ms	(/ (sqrt 1) (/ (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) 1))
404.0ms	(/ (* (* 1 1) 1) (* (* (/ (+ (* c c) (* d d)) (- (* b c) (* a d))) (/ (+ (* c c) (* d d)) (- (* b c) (* a d)))) (/ (+ (* c c) (* d d)) (- (* b c) (* a d)))))
315.0ms	(/ (cbrt 1) (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d)))))
312.0ms	(/ (sqrt 1) (/ (+ (* c c) (* d d)) (- (* (* b c) (* b c)) (* (* a d) (* a d)))))
308.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (+ (* c c) (* d d)) (- (* (* b c) (* b c)) (* (* a d) (* a d)))))

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 22.2b

localize20.0ms

Local error

Found 2 expressions with local error:

25.3b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
0.7b	(- (* b c) (* a d))

rewrite30.0ms

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` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

Slowest

23.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
7.0ms	(- (* b c) (* a d))

series134.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

91.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
43.0ms	(- (* b c) (* a d))

simplify1.6s

Counts

37 → 52

Calls

37 calls:

Slowest

241.0ms	(- (* (* b c) (* b c)) (* (* a d) (* a d)))
226.0ms	(- (pow (* b c) 3) (pow (* a d) 3))
195.0ms	(+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
119.0ms	(/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
104.0ms	(/ (exp (* b c)) (exp (* a d)))

prune369.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.2b

regimes301.0ms

Accuracy

0% (3.0b remaining)

Error of 26.5b against oracle of 23.6b and baseline of 26.5b

bsearch2.0ms

end0.0ms

sample991.0ms

Algorithm

intervals

Results

786.0ms

8458×

body

valid