Details

sample151.0ms

Algorithm

intervals

Results

24.0ms

402×

body

valid

simplify144.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

144.0ms

(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

Slowest

31.0ms	(* 0.12900613773279798 (* x x))
17.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

176.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
66.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
59.0ms	(* 0.12900613773279798 (* x x))

simplify3.8s

Counts

36 → 67

Calls

36 calls:

Slowest

1.1s	(* (* (* x x) x) (* (* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
328.0ms	(/ (exp 0.954929658551372) (exp (* 0.12900613773279798 (* x x))))
297.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x)))))
267.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
225.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) (* x x)) (* x x)))

prune482.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 0.12900613773279798 x) x)
0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

Slowest

21.0ms	(* (* 0.12900613773279798 x) x)
12.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
4.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series256.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

140.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
87.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
29.0ms	(* (* 0.12900613773279798 x) x)

simplify4.2s

Counts

34 → 66

Calls

34 calls:

Slowest

1.0s	(* (* (* x x) x) (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))))
608.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
308.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))
296.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))
245.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune453.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
0.2b	(* (sqrt 0.12900613773279798) (* x x))
0.1b	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
0.0b	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-l`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`sqrt-prod`
6×	`add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`sub-neg` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `flip--`
1×	`diff-log`

Counts

4 → 87

Calls

4 calls:

Slowest

37.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
25.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
18.0ms	(* (sqrt 0.12900613773279798) (* x x))
6.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))

series555.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
160.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
92.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
63.0ms	(* (sqrt 0.12900613773279798) (* x x))

simplify6.7s

Counts

59 → 99

Calls

59 calls:

Slowest

638.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) (* x x)) (* x x))))
614.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) x) (* (* x x) x))))
506.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) (* x x)) (* x x)))
440.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) x) (* (* x x) x)))
360.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))

prune910.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x 0.12900613773279798) (* x (- x)))
0.0b	(+ (* x 0.954929658551372) (* (* x 0.12900613773279798) (* x (- x))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-neg-out`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `associate-l` `unsub-neg` `*-commutative` `flip-+`

Counts

2 → 38

Calls

2 calls:

Slowest

49.0ms	(* (* x 0.12900613773279798) (* x (- x)))
24.0ms	(+ (* x 0.954929658551372) (* (* x 0.12900613773279798) (* x (- x))))

series225.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

151.0ms	(+ (* x 0.954929658551372) (* (* x 0.12900613773279798) (* x (- x))))
74.0ms	(* (* x 0.12900613773279798) (* x (- x)))

simplify2.6s

Counts

22 → 44

Calls

22 calls:

Slowest

445.0ms	(* (exp (* x 0.954929658551372)) (exp (* (* x 0.12900613773279798) (* x (- x)))))
231.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
227.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
216.0ms	(* (* (* (* x 0.12900613773279798) (* x 0.12900613773279798)) (* x 0.12900613773279798)) (* (* (* x x) x) (* (* (- x) (- x)) (- x))))
209.0ms	(* (* (* (* x x) x) (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798)) (* (* (* x x) x) (* (* (- x) (- x)) (- x))))

prune294.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

964.0ms

12022×

body

valid