Details

sample457.0ms

Algorithm

intervals

Results

85.0ms	349×	body	80	nan
77.0ms	26×	body	1280	valid
46.0ms	167×	body	80	valid
35.0ms	37×	body	640	valid
20.0ms	17×	body	1280	nan
18.0ms	19×	body	640	nan
11.0ms	12×	body	320	valid
7.0ms	14×	body	160	valid
6.0ms	8×	body	320	nan
3.0ms	6×	body	160	nan

simplify2.2s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.8b

localize87.0ms

Local error

Found 4 expressions with local error:

20.8b	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
11.8b	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
0.5b	(* (sqrt 2) t)
0.0b	(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`associate-l`
29×	`times-frac`
21×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`difference-of-squares`
7×	`sqrt-prod` `distribute-lft-out`
6×	`associate-r` `add-log-exp`
4×	`difference-of-sqr-1` `insert-posit16` `distribute-lft-out--` `unswap-sqr`
3×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `flip3-+` `sqrt-div` `pow-prod-down` `associate--l+` `associate-r/` `associate-/r/` `-commutative` `flip-+`
1×	`cbrt-undiv` `rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 114

Calls

4 calls:

Slowest

64.0ms	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
62.0ms	(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))
32.0ms	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
7.0ms	(* (sqrt 2) t)

series2.1s

Counts

4 → 12

Calls

4 calls:

Slowest

1.6s	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
303.0ms	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
139.0ms	(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))
61.0ms	(* (sqrt 2) t)

simplify1.2s

Counts: 126 → 126

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.1b

localize34.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4)))
7.9b	(/ (* t t) x)
5.8b	(/ (* l l) x)
4.6b	(+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-/r*` `times-frac` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `flip3-+` `sqrt-div` `div-exp` `associate-l/` `frac-add` `associate-r/` `flip-+` `insert-posit16`
3×	`sqrt-prod`
2×	`associate-+l+` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`distribute-rgt-in` `+-commutative` `rem-sqrt-square` `sum-log` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 78

Calls

4 calls:

Slowest

57.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4)))
37.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4))
18.0ms	(/ (* l l) x)
17.0ms	(/ (* t t) x)

series490.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

334.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4)))
92.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4))
43.0ms	(/ (* l l) x)
21.0ms	(/ (* t t) x)

simplify683.0ms

Counts: 90 → 90

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize79.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (+ (* 2 (+ (* t t) (* (/ l x) l))) (* (/ (* t t) x) 4)))
7.9b	(/ (* t t) x)
4.6b	(+ (* 2 (+ (* t t) (* (/ l x) l))) (* (/ (* t t) x) 4))
1.0b	(+ (* t t) (* (/ l x) l))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `flip3-+` `flip-+`
4×	`sqrt-div` `associate-l/` `frac-add` `associate-r/` `insert-posit16`
3×	`associate-/r*` `times-frac` `sqrt-prod`
2×	`cbrt-undiv` `+-commutative` `associate-+l+` `sum-log` `div-exp`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 68

Calls

4 calls:

Slowest

36.0ms	(sqrt (+ (* 2 (+ (* t t) (* (/ l x) l))) (* (/ (* t t) x) 4)))
31.0ms	(+ (* 2 (+ (* t t) (* (/ l x) l))) (* (/ (* t t) x) 4))
18.0ms	(+ (* t t) (* (/ l x) l))
17.0ms	(/ (* t t) x)

series535.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

378.0ms	(sqrt (+ (* 2 (+ (* t t) (* (/ l x) l))) (* (/ (* t t) x) 4)))
83.0ms	(+ (* 2 (+ (* t t) (* (/ l x) l))) (* (/ (* t t) x) 4))
47.0ms	(+ (* t t) (* (/ l x) l))
26.0ms	(/ (* t t) x)

simplify617.0ms

Counts: 80 → 80

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize85.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (+ (* 2 (+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))) (* (/ (* t t) x) 4)))
7.9b	(/ (* t t) x)
4.6b	(+ (* 2 (+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))) (* (/ (* t t) x) 4))
1.0b	(+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `flip3-+` `flip-+`
4×	`sqrt-div` `associate-l/` `frac-add` `associate-r/` `insert-posit16`
3×	`associate-/r*` `times-frac` `sqrt-prod`
2×	`cbrt-undiv` `+-commutative` `associate-+l+` `sum-log` `div-exp`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 68

Calls

4 calls:

Slowest

33.0ms	(sqrt (+ (* 2 (+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))) (* (/ (* t t) x) 4)))
23.0ms	(+ (* 2 (+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))) (* (/ (* t t) x) 4))
16.0ms	(+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))
8.0ms	(/ (* t t) x)

series645.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

409.0ms	(sqrt (+ (* 2 (+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))) (* (/ (* t t) x) 4)))
115.0ms	(+ (* 2 (+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))) (* (/ (* t t) x) 4))
78.0ms	(+ (* t t) (* (/ (/ l (cbrt x)) (cbrt x)) (/ l (cbrt x))))
42.0ms	(/ (* t t) x)

simplify800.0ms

Counts: 80 → 80

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

regimes798.0ms

Accuracy

77.3% (5.4b remaining)

Error of 9.2b against oracle of 3.8b and baseline of 27.7b

bsearch2.6s

end0.0ms

sample8.8s

Algorithm

intervals

Results

2.2s	9933×	body	80	nan
1.4s	828×	body	1280	valid
1.3s	988×	body	640	valid
1.3s	5194×	body	80	valid
694.0ms	590×	body	1280	nan
610.0ms	608×	body	640	nan
409.0ms	629×	body	320	valid
219.0ms	342×	body	320	nan
138.0ms	361×	body	160	valid
70.0ms	190×	body	160	nan