Details

sample158.0ms

Algorithm

intervals

Results

119.0ms

508×

body

valid

simplify647.0ms

Calls

1 calls:

Slowest

647.0ms

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

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.7b

localize66.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)
0.5b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)

rewrite296.0ms

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`

Calls

4 calls:

Slowest

191.0ms	(* (* (* (* x 18.0) y) z) t)
67.0ms	(* (* (* x 18.0) y) z)
23.0ms	(* (* x 18.0) y)
13.0ms	(* (* a 4.0) t)

series183.0ms

Calls

4 calls:

Slowest

70.0ms	(* (* (* (* x 18.0) y) z) t)
42.0ms	(* (* a 4.0) t)
40.0ms	(* (* (* x 18.0) y) z)
31.0ms	(* (* x 18.0) y)

simplify7.9s

Calls

55 calls:

Slowest

532.0ms	(* (* (* (* a 4.0) (* a 4.0)) (* a 4.0)) (* (* t t) t))
522.0ms	(* (* (* (* x 18.0) (* x 18.0)) (* x 18.0)) (* (* y y) y))
483.0ms	(* (* (* (* a a) a) (* (* 4.0 4.0) 4.0)) (* (* t t) t))
438.0ms	(* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y))
405.0ms	(* (* (* (* x 18.0) y) z) t)

prune2.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.6b

localize60.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* x (* 18.0 y)) z)
3.9b	(* (* (* x (* 18.0 y)) z) t)
0.2b	(* (* a 4.0) t)
0.2b	(* (* j 27.0) k)

rewrite268.0ms

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`

Calls

4 calls:

Slowest

145.0ms	(* (* (* x (* 18.0 y)) z) t)
64.0ms	(* (* x (* 18.0 y)) z)
29.0ms	(* (* j 27.0) k)
28.0ms	(* (* a 4.0) t)

series169.0ms

Calls

4 calls:

Slowest

68.0ms	(* (* (* x (* 18.0 y)) z) t)
53.0ms	(* (* x (* 18.0 y)) z)
26.0ms	(* (* a 4.0) t)
22.0ms	(* (* j 27.0) k)

simplify8.2s

Calls

54 calls:

Slowest

474.0ms	(* (* (* (* a a) a) (* (* 4.0 4.0) 4.0)) (* (* t t) t))
467.0ms	(* (* (* (* a 4.0) (* a 4.0)) (* a 4.0)) (* (* t t) t))
457.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
452.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
387.0ms	(+ (+ (log (* x (* 18.0 y))) (log z)) (log t))

prune2.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize74.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* x (* 18.0 y)) z)
3.9b	(* (* (* x (* 18.0 y)) z) t)
0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))

rewrite288.0ms

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`

Calls

4 calls:

Slowest

190.0ms	(* (* (* x (* 18.0 y)) z) t)
69.0ms	(* (* x (* 18.0 y)) z)
14.0ms	(* (* j 27.0) k)
13.0ms	(* x (* 18.0 y))

series185.0ms

Calls

4 calls:

Slowest

79.0ms	(* (* (* x (* 18.0 y)) z) t)
45.0ms	(* (* j 27.0) k)
36.0ms	(* (* x (* 18.0 y)) z)
25.0ms	(* x (* 18.0 y))

simplify8.3s

Calls

54 calls:

Slowest

667.0ms	(+ (+ (+ (log x) (log (* 18.0 y))) (log z)) (log t))
565.0ms	(* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y)))
553.0ms	(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
458.0ms	(* (* (* (* (* x (* 18.0 y)) (* x (* 18.0 y))) (* x (* 18.0 y))) (* (* z z) z)) (* (* t t) t))
451.0ms	(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize55.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* x (* 18.0 y)) z)
3.9b	(* (* (* x (* 18.0 y)) z) t)
0.2b	(* j (* 27.0 k))
0.2b	(* x (* 18.0 y))

rewrite239.0ms

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`

Calls

4 calls:

Slowest

146.0ms	(* (* (* x (* 18.0 y)) z) t)
64.0ms	(* (* x (* 18.0 y)) z)
15.0ms	(* j (* 27.0 k))
12.0ms	(* x (* 18.0 y))

series181.0ms

Calls

4 calls:

Slowest

76.0ms	(* (* (* x (* 18.0 y)) z) t)
40.0ms	(* (* x (* 18.0 y)) z)
36.0ms	(* j (* 27.0 k))
29.0ms	(* x (* 18.0 y))

simplify7.6s

Calls

54 calls:

Slowest

539.0ms	(* (* (* j j) j) (* (* (* 27.0 k) (* 27.0 k)) (* 27.0 k)))
526.0ms	(* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y)))
422.0ms	(* (* (* j j) j) (* (* (* 27.0 27.0) 27.0) (* (* k k) k)))
391.0ms	(* (* (* (* (* x (* 18.0 y)) (* x (* 18.0 y))) (* x (* 18.0 y))) (* (* z z) z)) (* (* t t) t))
368.0ms	(* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y)))

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

regimes2.7s

Accuracy

26.1% (3.3b remaining)

Error of 3.9b against oracle of 0.6b and baseline of 5.1b

bsearch165.0ms

end0.0ms

sample6.5s

Algorithm

intervals

Results

5.2s

16453×

body

valid