Details

sample102.0ms

Algorithm

intervals

Results

38.0ms

392×

body

valid

simplify392.0ms

Calls

1 calls:

Slowest

391.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Calls

3 calls:

Slowest

36.0ms	(* 0.12900613773279798 (* (* x x) x))
16.0ms	(* (* x x) x)
14.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series205.0ms

Calls

3 calls:

Slowest

112.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
49.0ms	(* 0.12900613773279798 (* (* x x) x))
43.0ms	(* (* x x) x)

simplify4.0s

Calls

35 calls:

Slowest

757.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
443.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
429.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
397.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
382.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune533.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* 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`

Calls

3 calls:

Slowest

16.0ms	(* (* 0.12900613773279798 x) x)
13.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
8.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series245.0ms

Calls

3 calls:

Slowest

127.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
70.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
48.0ms	(* (* 0.12900613773279798 x) x)

simplify4.3s

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))))
792.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
274.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
274.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))
264.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))

prune417.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.12900613773279798 (pow x 3))
0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `insert-posit16` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Calls

2 calls:

Slowest

16.0ms	(* 0.12900613773279798 (pow x 3))
14.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series212.0ms

Calls

2 calls:

Slowest

161.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
51.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.7s

Calls

32 calls:

Slowest

830.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
253.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
236.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
230.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
187.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))

prune379.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`pow2` `pow-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Calls

4 calls:

Slowest

127.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
67.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
14.0ms	(* (* x x) x)
9.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))

series480.0ms

Calls

4 calls:

Slowest

207.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
129.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
93.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
50.0ms	(* (* x x) x)

simplify5.6s

Calls

59 calls:

Slowest

491.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
400.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
392.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
345.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
341.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))

prune886.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

11972×

body

valid