Details

sample355.0ms

Algorithm

intervals

Results

62.0ms	338×	body	80	nan
46.0ms	16×	body	320	nan
29.0ms	163×	body	80	valid
23.0ms	25×	body	1280	valid
22.0ms	33×	body	640	valid
18.0ms	20×	body	1280	nan
17.0ms	24×	body	640	nan
11.0ms	22×	body	320	valid
5.0ms	13×	body	160	valid
3.0ms	8×	body	160	nan

simplify1.4s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.1b

localize66.0ms

Local error

Found 4 expressions with local error:

20.0b	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
12.2b	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
0.4b	(* (sqrt 2) t)
0.0b	(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))

rewrite165.0ms

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

62.0ms	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
62.0ms	(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))
28.0ms	(- (* (/ (+ 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)))
274.0ms	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
164.0ms	(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))
50.0ms	(* (sqrt 2) t)

simplify1.1s

Counts: 126 → 126

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.4b

localize76.0ms

Local error

Found 4 expressions with local error:

27.1b	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4)))
9.0b	(/ (* t t) x)
4.8b	(/ (* l l) x)
3.0b	(+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4))

rewrite90.0ms

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

29.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4))
23.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4)))
20.0ms	(/ (* t t) x)
17.0ms	(/ (* l l) x)

series525.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

374.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4)))
98.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (* (/ (* t t) x) 4))
27.0ms	(/ (* t t) x)
25.0ms	(/ (* l l) x)

simplify719.0ms

Counts: 90 → 90

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize69.0ms

Local error

Found 4 expressions with local error:

27.1b	(sqrt (+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (* (/ (* t t) x) 4)))
9.0b	(/ (* t t) x)
3.0b	(+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (* (/ (* t t) x) 4))
1.8b	(/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

Slowest

35.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (* (/ (* t t) x) 4)))
21.0ms	(+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (* (/ (* t t) x) 4))
13.0ms	(/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))
8.0ms	(/ (* t t) x)

series544.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

354.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (* (/ (* t t) x) 4)))
102.0ms	(+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (* (/ (* t t) x) 4))
60.0ms	(/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))
27.0ms	(/ (* t t) x)

simplify1.3s

Counts: 105 → 105

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.0b

localize102.0ms

Local error

Found 4 expressions with local error:

32.2b	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))
32.2b	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))
32.2b	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))
27.1b	(sqrt (+ (* 2 (+ (* t t) (* (* (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))) (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))))) (* (/ (* t t) x) 4)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
18×	`times-frac`
15×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-div` `pow1/3` `sqrt-prod` `div-inv`
2×	`flip3-+` `associate-l/` `frac-add` `associate-r/` `flip-+`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 78

Calls

4 calls:

Slowest

22.0ms	(sqrt (+ (* 2 (+ (* t t) (* (* (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))) (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))))) (* (/ (* t t) x) 4)))
20.0ms	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))
13.0ms	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))
13.0ms	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))

series790.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

398.0ms	(sqrt (+ (* 2 (+ (* t t) (* (* (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))) (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))))) (* (/ (* t t) x) 4)))
133.0ms	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))
132.0ms	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))
126.0ms	(cbrt (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))

simplify2.3s

Counts: 90 → 90

prune1.9s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.0b

regimes1.1s

Accuracy

71.1% (7.0b remaining)

Error of 11.0b against oracle of 4.1b and baseline of 28.2b

bsearch1.5s

end0.0ms

sample9.1s

Algorithm

intervals

Results

2.4s	10087×	body	80	nan
1.6s	5117×	body	80	valid
1.2s	1042×	body	640	valid
1.1s	607×	body	640	nan
808.0ms	849×	body	1280	valid
590.0ms	583×	body	1280	nan
373.0ms	649×	body	320	valid
248.0ms	350×	body	320	nan
153.0ms	343×	body	160	valid
69.0ms	189×	body	160	nan