Details

sample117.0ms

Algorithm

intervals

Results

25.0ms

395×

body

valid

simplify617.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

616.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite87.0ms

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`

Counts

3 → 64

Calls

3 calls:

Slowest

50.0ms	(* 0.12900613773279798 (* (* x x) x))
24.0ms	(* (* x x) x)
10.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

130.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
54.0ms	(* 0.12900613773279798 (* (* x x) x))
45.0ms	(* (* x x) x)

simplify3.7s

Counts

35 → 73

Calls

35 calls:

Slowest

461.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
436.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
376.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
367.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
359.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))

prune537.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)))

rewrite30.0ms

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--`

Counts

2 → 45

Calls

2 calls:

Slowest

16.0ms	(* 0.12900613773279798 (pow x 3))
13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series231.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

165.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
65.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.8s

Counts

32 → 51

Calls

32 calls:

Slowest

949.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
272.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
251.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
228.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
210.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))

prune461.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)))

rewrite32.0ms

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

13.0ms	(* 0.12900613773279798 (* x x))
12.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

141.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
82.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
39.0ms	(* 0.12900613773279798 (* x x))

simplify3.8s

Counts

36 → 67

Calls

36 calls:

Slowest

1.2s	(* (* (* x x) x) (* (* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
371.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x)))))
220.0ms	(/ (exp 0.954929658551372) (exp (* 0.12900613773279798 (* x x))))
211.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
209.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune412.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b

(* (sqrt 0.12900613773279798) (pow x 3))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

0.0b

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

Slowest

20.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

10.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3))))

10.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

series376.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

187.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3))))

112.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

76.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

simplify4.8s

Counts

59 → 84

Calls

59 calls:

Slowest

664.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (pow x 3) (pow x 3)) (pow x 3)))
333.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))
303.0ms	(+ (log (sqrt 0.12900613773279798)) (+ (log (sqrt 0.12900613773279798)) (log (pow x 3))))
295.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))
287.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))

prune814.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.1s

12051×

body

valid