Details

sample352.0ms

Algorithm

intervals

Results

50.0ms	338×	body	80	nan
39.0ms	22×	body	1280	valid
30.0ms	159×	body	80	valid
20.0ms	34×	body	640	valid
17.0ms	27×	body	640	nan
11.0ms	24×	body	320	valid
11.0ms	17×	body	1280	nan
5.0ms	17×	body	160	valid
4.0ms	10×	body	320	nan
2.0ms	9×	body	160	nan

simplify2.0s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize41.0ms

Local error

Found 4 expressions with local error:

22.4b	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
14.9b	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
0.4b	(* (sqrt 2) t)
0.0b	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-/r` `times-frac` `associate-l*` `add-log-exp`
4×	`sqrt-div` `insert-posit16`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l`

Counts

4 → 84

Calls

4 calls:

Slowest

43.0ms	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
39.0ms	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
38.0ms	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
6.0ms	(* (sqrt 2) t)

series2.2s

Counts

4 → 12

Calls

4 calls:

Slowest

1.4s	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
457.0ms	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
252.0ms	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
54.0ms	(* (sqrt 2) t)

simplify3.3s

Counts: 96 → 96

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 7.7b

localize40.0ms

Local error

Found 4 expressions with local error:

30.4b	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x)))
9.5b	(/ (* (* 2 t) (* 2 t)) x)
5.3b	(/ (* l l) x)
4.4b	(+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

Slowest

36.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x)))
34.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x))
30.0ms	(/ (* (* 2 t) (* 2 t)) x)
9.0ms	(/ (* l l) x)

series464.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

318.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x)))
98.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x))
26.0ms	(/ (* (* 2 t) (* 2 t)) x)
22.0ms	(/ (* l l) x)

simplify1.0s

Counts: 96 → 96

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.5b

localize39.0ms

Local error

Found 4 expressions with local error:

30.4b	(sqrt (+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x)))
9.5b	(/ (* (* 2 t) (* 2 t)) x)
4.4b	(+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x))
1.2b	(+ (* t t) (/ l (/ x l)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

Slowest

53.0ms	(sqrt (+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x)))
53.0ms	(/ (* (* 2 t) (* 2 t)) x)
47.0ms	(+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x))
19.0ms	(+ (* t t) (/ l (/ x l)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

352.0ms	(sqrt (+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x)))
115.0ms	(+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x))
64.0ms	(+ (* t t) (/ l (/ x l)))
25.0ms	(/ (* (* 2 t) (* 2 t)) x)

simplify751.0ms

Counts: 86 → 86

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize74.0ms

Local error

Found 4 expressions with local error:

30.4b	(sqrt (+ (* (+ (* t t) (* (/ l x) l)) 2) (* (/ (* t t) x) 4)))
9.5b	(/ (* t t) x)
4.4b	(+ (* (+ (* t t) (* (/ l x) l)) 2) (* (/ (* t t) x) 4))
1.2b	(+ (* t t) (* (/ l x) l))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

Slowest

21.0ms	(sqrt (+ (* (+ (* t t) (* (/ l x) l)) 2) (* (/ (* t t) x) 4)))
14.0ms	(+ (* t t) (* (/ l x) l))
14.0ms	(+ (* (+ (* t t) (* (/ l x) l)) 2) (* (/ (* t t) x) 4))
8.0ms	(/ (* t t) x)

series544.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

383.0ms	(sqrt (+ (* (+ (* t t) (* (/ l x) l)) 2) (* (/ (* t t) x) 4)))
85.0ms	(+ (* (+ (* t t) (* (/ l x) l)) 2) (* (/ (* t t) x) 4))
50.0ms	(+ (* t t) (* (/ l x) l))
25.0ms	(/ (* t t) x)

simplify2.3s

Counts: 78 → 78

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.5b

regimes683.0ms

Accuracy

76.4% (5.5b remaining)

Error of 9.0b against oracle of 3.5b and baseline of 26.9b

bsearch859.0ms

end0.0ms

sample8.5s

Algorithm

intervals

Results

1.9s	9927×	body	80	nan
1.1s	5129×	body	80	valid
959.0ms	642×	body	640	nan
954.0ms	866×	body	1280	valid
872.0ms	643×	body	320	valid
784.0ms	1007×	body	640	valid
586.0ms	564×	body	1280	nan
548.0ms	345×	body	320	nan
179.0ms	355×	body	160	valid
65.0ms	200×	body	160	nan