Details

sample138.0ms

Algorithm

intervals

Results

100.0ms

525×

body

valid

simplify343.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

342.0ms

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize67.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (* (* (* x 18.0) y) z) t)
4.0b	(* (* (* x 18.0) y) z)
0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)

rewrite293.0ms

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

183.0ms	(* (* (* (* x 18.0) y) z) t)
72.0ms	(* (* (* x 18.0) y) z)
22.0ms	(* (* x 18.0) y)
15.0ms	(* (* j 27.0) k)

series193.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(* (* (* x 18.0) y) z)
59.0ms	(* (* (* (* x 18.0) y) z) t)
43.0ms	(* (* j 27.0) k)
28.0ms	(* (* x 18.0) y)

simplify7.9s

Counts

55 → 105

Calls

55 calls:

Slowest

586.0ms	(* (* (* (* x 18.0) (* x 18.0)) (* x 18.0)) (* (* y y) y))
503.0ms	(* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y))
468.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
439.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
350.0ms	(* (* (* (* (* (* x 18.0) (* x 18.0)) (* x 18.0)) (* (* y y) y)) (* (* z z) z)) (* (* t t) t))

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize78.0ms

Local error

Found 4 expressions with local error:

6.1b	(* t (* x (* z y)))
4.6b	(* x (* z y))
0.3b	(* 18.0 (* t (* x (* z y))))
0.2b	(* (* j 27.0) k)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

Slowest

110.0ms	(* 18.0 (* t (* x (* z y))))
35.0ms	(* t (* x (* z y)))
32.0ms	(* x (* z y))
16.0ms	(* (* j 27.0) k)

series216.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

66.0ms	(* 18.0 (* t (* x (* z y))))
63.0ms	(* t (* x (* z y)))
53.0ms	(* x (* z y))
33.0ms	(* (* j 27.0) k)

simplify8.0s

Counts

55 → 105

Calls

55 calls:

Slowest

543.0ms	(* (* (* x x) x) (* (* (* z y) (* z y)) (* z y)))
536.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
530.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
422.0ms	(* (* (* x x) x) (* (* (* z z) z) (* (* y y) y)))
418.0ms	(* (* (* 18.0 18.0) 18.0) (* (* (* t t) t) (* (* (* x x) x) (* (* (* z y) (* z y)) (* z y)))))

prune2.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize58.0ms

Local error

Found 4 expressions with local error:

6.1b	(* t (* (* x z) y))
5.6b	(* (* x z) y)
0.3b	(* 18.0 (* t (* (* x z) y)))
0.2b	(* (* j 27.0) k)

rewrite238.0ms

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

110.0ms	(* 18.0 (* t (* (* x z) y)))
84.0ms	(* t (* (* x z) y))
28.0ms	(* (* x z) y)
14.0ms	(* (* j 27.0) k)

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(* 18.0 (* t (* (* x z) y)))
64.0ms	(* t (* (* x z) y))
55.0ms	(* (* x z) y)
39.0ms	(* (* j 27.0) k)

simplify8.5s

Counts

54 → 105

Calls

54 calls:

Slowest

719.0ms	(+ (log 18.0) (log (* t (* (* x z) y))))
576.0ms	(* (* (* (* x z) (* x z)) (* x z)) (* (* y y) y))
561.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
459.0ms	(* (* (* (* x x) x) (* (* z z) z)) (* (* y y) y))
431.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize64.0ms

Local error

Found 4 expressions with local error:

6.1b	(* t (* (* x z) y))
5.6b	(* (* x z) y)
0.3b	(* 18.0 (* t (* (* x z) y)))
0.2b	(* j (* 27.0 k))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

Slowest

133.0ms	(* 18.0 (* t (* (* x z) y)))
55.0ms	(* t (* (* x z) y))
26.0ms	(* j (* 27.0 k))
14.0ms	(* (* x z) y)

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(* 18.0 (* t (* (* x z) y)))
81.0ms	(* t (* (* x z) y))
45.0ms	(* (* x z) y)
43.0ms	(* j (* 27.0 k))

simplify7.5s

Counts

54 → 105

Calls

54 calls:

Slowest

515.0ms	(* (* (* j j) j) (* (* (* 27.0 k) (* 27.0 k)) (* 27.0 k)))
451.0ms	(* (* (* (* x z) (* x z)) (* x z)) (* (* y y) y))
433.0ms	(* (* (* (* x x) x) (* (* z z) z)) (* (* y y) y))
423.0ms	(* (* (* 18.0 18.0) 18.0) (* (* (* t t) t) (* (* (* (* x z) (* x z)) (* x z)) (* (* y y) y))))
389.0ms	(* (* (* j j) j) (* (* (* 27.0 27.0) 27.0) (* (* k k) k)))

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes2.2s

Accuracy

74.1% (1.3b remaining)

Error of 1.6b against oracle of 0.3b and baseline of 5.3b

bsearch23.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.0s

16327×

body

valid