Details

sample153.0ms

Algorithm

intervals

Results

112.0ms

505×

body

valid

simplify349.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

349.0ms

(- (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize68.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* (* x 18.0) y) z) t)
3.8b	(* (* (* x 18.0) y) z)
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

Slowest

220.0ms	(* (* (* (* x 18.0) y) z) t)
66.0ms	(* (* (* x 18.0) y) z)
29.0ms	(* (* j 27.0) k)
17.0ms	(* (* x 18.0) y)

series225.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(* (* (* (* x 18.0) y) z) t)
53.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* x 18.0) y)
39.0ms	(* (* j 27.0) k)

simplify8.7s

Counts

55 → 105

Calls

55 calls:

Slowest

841.0ms	(* (* (* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y)) (* (* z z) z)) (* (* t t) t))
615.0ms	(* (* (* (* x 18.0) (* x 18.0)) (* x 18.0)) (* (* y y) y))
494.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
490.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
488.0ms	(* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y))

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* x (* 18.0 y)) z) t)
3.8b	(* (* x (* 18.0 y)) z)
0.5b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

Slowest

197.0ms	(* (* (* x (* 18.0 y)) z) t)
36.0ms	(* (* x (* 18.0 y)) z)
24.0ms	(* (* j 27.0) k)
13.0ms	(* x (* 18.0 y))

series199.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(* (* (* x (* 18.0 y)) z) t)
40.0ms	(* x (* 18.0 y))
39.0ms	(* (* j 27.0) k)
34.0ms	(* (* x (* 18.0 y)) z)

simplify8.0s

Counts

54 → 105

Calls

54 calls:

Slowest

544.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
494.0ms	(* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y)))
471.0ms	(* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y)))
433.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
397.0ms	(* (* (* (* (* x (* 18.0 y)) (* x (* 18.0 y))) (* x (* 18.0 y))) (* (* z z) z)) (* (* t t) t))

prune2.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize83.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* x (* 18.0 y)) z) t)
3.8b	(* (* x (* 18.0 y)) z)
0.5b	(* x (* 18.0 y))
0.2b	(* 27.0 (* j k))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

Slowest

203.0ms	(* (* (* x (* 18.0 y)) z) t)
43.0ms	(* (* x (* 18.0 y)) z)
20.0ms	(* x (* 18.0 y))
14.0ms	(* 27.0 (* j k))

series154.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(* (* (* x (* 18.0 y)) z) t)
32.0ms	(* (* x (* 18.0 y)) z)
28.0ms	(* x (* 18.0 y))
27.0ms	(* 27.0 (* j k))

simplify8.7s

Counts

54 → 105

Calls

54 calls:

Slowest

973.0ms	(* (* (* 27.0 27.0) 27.0) (* (* (* j k) (* j k)) (* j k)))
570.0ms	(* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y)))
447.0ms	(* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y)))
447.0ms	(* (* (* 27.0 27.0) 27.0) (* (* (* j j) j) (* (* k k) k)))
375.0ms	(+ (log (* (* x (* 18.0 y)) z)) (log t))

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize96.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* x (* 18.0 y)) z) t)
3.8b	(* (* x (* 18.0 y)) z)
0.6b	(cbrt k)
0.6b	(cbrt k)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 79

Calls

4 calls:

Slowest

163.0ms	(* (* (* x (* 18.0 y)) z) t)
46.0ms	(* (* x (* 18.0 y)) z)
1.0ms	(cbrt k)
1.0ms	(cbrt k)

series648.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

293.0ms	(cbrt k)
251.0ms	(cbrt k)
70.0ms	(* (* (* x (* 18.0 y)) z) t)
34.0ms	(* (* x (* 18.0 y)) z)

simplify6.1s

Counts

44 → 91

Calls

44 calls:

Slowest

378.0ms	(* (* (* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y))) (* (* z z) z)) (* (* t t) t))
352.0ms	(+ (+ (+ (log x) (+ (log 18.0) (log y))) (log z)) (log t))
340.0ms	(* (* (* x (* 18.0 y)) z) t)
331.0ms	(* 18.0 (* t (* x (* z y))))
321.0ms	(* (* (* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y))) (* (* z z) z)) (* (* t t) t))

prune2.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes2.2s

Accuracy

43.5% (2.2b remaining)

Error of 3.3b against oracle of 1.1b and baseline of 5.0b

bsearch415.0ms

end0.0ms

sample6.9s

Algorithm

intervals

Results

5.5s

16393×

body

valid