Details

sample176.0ms

Algorithm

intervals

Results

46.0ms

392×

body

valid

simplify203.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

202.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite75.0ms

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

28.0ms	(* 0.12900613773279798 (* x x))
24.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
10.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

series315.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

153.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
100.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
61.0ms	(* 0.12900613773279798 (* x x))

simplify3.9s

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)))))
308.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.954929658551372 (* 0.12900613773279798 (* x x)))))
298.0ms	(/ (exp 0.954929658551372) (exp (* 0.12900613773279798 (* x x))))
256.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
247.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) (* x x)) (* x x)))

prune517.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite52.0ms

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

27.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
15.0ms	(* (* 0.12900613773279798 x) x)
8.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series290.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

153.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
95.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
41.0ms	(* (* 0.12900613773279798 x) x)

simplify4.9s

Counts

34 → 66

Calls

34 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))))
769.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
665.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
333.0ms	(+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))
286.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune481.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite78.0ms

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

43.0ms	(* 0.12900613773279798 (* (* x x) x))
24.0ms	(* (* x x) x)
8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

149.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
61.0ms	(* 0.12900613773279798 (* (* x x) x))
60.0ms	(* (* x x) x)

simplify3.9s

Counts

35 → 73

Calls

35 calls:

Slowest

470.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
459.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
441.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
421.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
405.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune550.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)))

rewrite32.0ms

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

17.0ms	(* 0.12900613773279798 (pow x 3))
14.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

124.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
70.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.9s

Counts

32 → 51

Calls

32 calls:

Slowest

950.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
267.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
254.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
238.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
196.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))

prune410.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

11885×

body

valid