Details

sample238.0ms

Algorithm

intervals

Results

49.0ms

397×

body

valid

simplify208.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

207.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

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

59.0ms	(* 0.12900613773279798 (* (* x x) x))
50.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
23.0ms	(* (* x x) x)

series387.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

173.0ms	(* 0.12900613773279798 (* (* x x) x))
128.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
84.0ms	(* (* x x) x)

simplify3.6s

Counts

35 → 73

Calls

35 calls:

Slowest

456.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
404.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
402.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
388.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
363.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))

prune498.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite15.0ms

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

8.0ms	(* 0.12900613773279798 (pow x 3))
7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

156.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
49.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.1s

Counts

32 → 51

Calls

32 calls:

Slowest

1.3s	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
276.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
258.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
249.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
172.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))

prune389.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite29.0ms

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

13.0ms	(* (* 0.12900613773279798 x) x)
12.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
4.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

124.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
74.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
50.0ms	(* (* 0.12900613773279798 x) x)

simplify4.1s

Counts

34 → 66

Calls

34 calls:

Slowest

906.0ms	(* (* (* x x) x) (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))))
697.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
342.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))
267.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))
245.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))

prune479.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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))))

rewrite257.0ms

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`

Counts

4 → 95

Calls

4 calls:

Slowest

184.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
44.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
14.0ms	(* (* x x) x)
12.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

218.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
160.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
100.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
41.0ms	(* (* x x) x)

simplify5.4s

Counts

59 → 107

Calls

59 calls:

Slowest

520.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
397.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
338.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
338.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
324.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune922.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

12011×

body

valid