Details

sample141.0ms

Algorithm

intervals

Results

75.0ms

377×

body

valid

simplify617.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

617.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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)))

rewrite66.0ms

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

30.0ms	(* 0.12900613773279798 (* x x))
25.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
8.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

143.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
108.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
50.0ms	(* 0.12900613773279798 (* x x))

simplify3.7s

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)))))
430.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x)))))
267.0ms	(/ (exp 0.954929658551372) (exp (* 0.12900613773279798 (* x x))))
237.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
186.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune458.0ms

Pruning

5 alts after pruning (5 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))

rewrite43.0ms

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

15.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
15.0ms	(* (* 0.12900613773279798 x) x)
12.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series274.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

161.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
83.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
30.0ms	(* (* 0.12900613773279798 x) x)

simplify4.1s

Counts

34 → 66

Calls

34 calls:

Slowest

889.0ms	(* (* (* x x) x) (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))))
781.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
307.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))
263.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))
242.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune505.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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))))

rewrite154.0ms

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

82.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
31.0ms	(* (sqrt 0.12900613773279798) (* x x))
26.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
13.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

264.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
172.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
82.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
58.0ms	(* (sqrt 0.12900613773279798) (* x x))

simplify6.5s

Counts

59 → 99

Calls

59 calls:

Slowest

572.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) x) (* (* x x) x))))
551.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) (* x x)) (* x x))))
494.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) x) (* (* x x) x)))
475.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* x x) (* x x)) (* x x)))
329.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))

prune829.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

17.5b	(sqrt (* 0.12900613773279798 (* x x)))
17.5b	(sqrt (* 0.12900613773279798 (* x x)))
0.4b	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log` `pow-sqr`
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×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 113

Calls

4 calls:

Slowest

75.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
27.0ms	(* 0.12900613773279798 (* x x))
16.0ms	(sqrt (* 0.12900613773279798 (* x x)))
9.0ms	(sqrt (* 0.12900613773279798 (* x x)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
56.0ms	(sqrt (* 0.12900613773279798 (* x x)))
52.0ms	(sqrt (* 0.12900613773279798 (* x x)))
49.0ms	(* 0.12900613773279798 (* x x))

simplify3.6s

Counts

128 → 125

Calls

128 calls:

Slowest

386.0ms	(* (* (* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x)))) (sqrt (* 0.12900613773279798 (* x x)))) (* (* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x)))) (sqrt (* 0.12900613773279798 (* x x)))))
196.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) (* x x)) (* x x)))
157.0ms	(* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))
150.0ms	(* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))
147.0ms	(* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

11982×

body

valid