Details

sample197.0ms

Algorithm

intervals

Results

75.0ms

380×

body

valid

simplify566.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

565.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

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)))

rewrite98.0ms

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

54.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
22.0ms	(* 0.12900613773279798 (* x x))
8.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

series322.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

146.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
93.0ms	(* 0.12900613773279798 (* x x))
83.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

simplify3.7s

Counts

36 → 67

Calls

36 calls:

Slowest

924.0ms	(* (* (* x x) x) (* (* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
308.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x)))))
258.0ms	(/ (exp 0.954929658551372) (exp (* 0.12900613773279798 (* x x))))
243.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
243.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune470.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

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))
34.0ms	(* (* x x) x)
7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

112.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
61.0ms	(* 0.12900613773279798 (* (* x x) x))
55.0ms	(* (* x x) x)

simplify3.8s

Counts

35 → 73

Calls

35 calls:

Slowest

508.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
452.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
409.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
398.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))
373.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune518.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 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))
6.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

117.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
64.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.8s

Counts

32 → 51

Calls

32 calls:

Slowest

829.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
487.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))
234.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
202.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
181.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune428.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.9b	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.9b	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.3b	(* (* x (* (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

Slowest

126.0ms	(* (* x (* (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
4.0ms	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
4.0ms	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
4.0ms	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

358.0ms	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
357.0ms	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
346.0ms	(cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
188.0ms	(* (* x (* (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (cbrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))

simplify16.0s

Counts

84 → 105

Calls

84 calls:

Slowest

464.0ms	(cbrt (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))))
415.0ms	(cbrt (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))))
410.0ms	(cbrt (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))))
356.0ms	(* (* (cbrt (+ 0.954929658551372 (* 0.12900613773279798 (* x x)))) (cbrt (+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x))))))) (cbrt (+ 0.954929658551372 (* 0.12900613773279798 (* x x)))))
354.0ms	(* (* (cbrt (+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x)))))) (cbrt (+ 0.954929658551372 (* 0.12900613773279798 (* x x))))) (cbrt (+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x)))))))

prune902.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

11897×

body

valid