Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify156.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

156.0ms

(+ (* x (* x x)) (* x x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* x x))
0.0b	(+ (* x (* x x)) (* x x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

Slowest

19.0ms	(+ (* x (* x x)) (* x x))
15.0ms	(* x (* x x))

series172.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

109.0ms	(+ (* x (* x x)) (* x x))
63.0ms	(* x (* x x))

simplify1.4s

Counts

23 → 45

Calls

23 calls:

Slowest

499.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
465.0ms	(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
251.0ms	(* (exp (* x (* x x))) (exp (* x x)))
40.0ms	(+ (pow x 3) (pow x 2))
30.0ms	(+ (pow x 3) (pow x 2))

prune278.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

20.1b	(sqrt (* x (* x x)))
20.1b	(sqrt (* x (* x x)))
0.2b	(* (sqrt (* x (* x x))) (sqrt (* x (* x x))))
0.1b	(* x (* x x))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

321×	`pow1`
154×	`sqrt-pow1`
139×	`pow-prod-up`
87×	`pow-prod-down`
35×	`pow-sqr`
22×	`pow-plus`
18×	`pow2`
17×	`cube-unmult`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`rem-square-sqrt` `sqrt-unprod`

Counts

4 → 167

Calls

4 calls:

Slowest

76.0ms	(* (sqrt (* x (* x x))) (sqrt (* x (* x x))))
14.0ms	(* x (* x x))
9.0ms	(sqrt (* x (* x x)))
8.0ms	(sqrt (* x (* x x)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

66.0ms	(* (sqrt (* x (* x x))) (sqrt (* x (* x x))))
55.0ms	(sqrt (* x (* x x)))
51.0ms	(sqrt (* x (* x x)))
49.0ms	(* x (* x x))

simplify9.1s

Counts

178 → 179

Calls

178 calls:

Slowest

527.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
481.0ms	(* (* x (* x x)) (* x (* x x)))
474.0ms	(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
460.0ms	(* (* x (* x x)) (* x (* x x)))
456.0ms	(* (* x (* x x)) (* x (* x x)))

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

37.8b	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
37.8b	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
37.8b	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
20.1b	(sqrt (* x (* x x)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1`
8×	`sqrt-pow1`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down`
1×	`pow2` `pow-plus` `pow1/2` `cube-unmult` `pow-sqr` `sqrt-prod`

Counts

4 → 48

Calls

4 calls:

Slowest

108.0ms	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
76.0ms	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
69.0ms	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
18.0ms	(sqrt (* x (* x x)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
76.0ms	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
56.0ms	(cbrt (* (sqrt (* x (* x x))) (sqrt (* x (* x x)))))
48.0ms	(sqrt (* x (* x x)))

simplify348.0ms

Counts

19 → 60

Calls

19 calls:

Slowest

99.0ms	(cbrt (sqrt (* x (* x x))))
70.0ms	(cbrt (sqrt (* x (* x x))))
69.0ms	(cbrt (sqrt (* x (* x x))))
35.0ms	(* x (* x x))
31.0ms	(* x (* x x))

prune618.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x (* x x)))
0.0b	(+ x (* x x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `distribute-rgt-out` `distribute-rgt1-in` `associate-*r/` `flip-+` `insert-posit16`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

Slowest

27.0ms	(* x (+ x (* x x)))
5.0ms	(+ x (* x x))

series155.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

96.0ms	(* x (+ x (* x x)))
58.0ms	(+ x (* x x))

simplify1.0s

Counts

23 → 45

Calls

23 calls:

Slowest

263.0ms	(+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))
216.0ms	(* (* (* x x) x) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))))
99.0ms	(* (exp x) (exp (* x x)))
65.0ms	(* x (+ x (* x x)))
46.0ms	(+ (log x) (log (+ x (* x x))))

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch4.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

839.0ms	8000×	body	80	valid
277.0ms	8000×	pre	80	true