Details

sample122.0ms

Algorithm

intervals

Results

52.0ms	256×	body	80	valid
47.0ms	282×	body	80	nan

simplify24.0ms

Calls

1 calls:

Slowest

24.0ms

(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize68.0ms

Local error

Found 3 expressions with local error:

1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(/ (acos (/ (- g) h)) 3)
0.0b	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-cube-cbrt`
4×	`*-un-lft-identity`
4×	`add-sqr-sqrt`
3×	`add-log-exp`
3×	`associate-/l*`
3×	`log1p-expm1-u`
3×	`add-exp-log`
3×	`add-cbrt-cube`
3×	`pow1`
3×	`expm1-log1p-u`
2×	`fma-udef`
2×	`div-sub`
1×	`div-inv`
1×	`distribute-frac-neg`
1×	`frac-2neg`
1×	`clear-num`
1×	`cos-sum`
1×	`acos-neg`
1×	`acos-asin`

Calls

3 calls:

Slowest

6.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series149.0ms

Calls

3 calls:

Slowest

115.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
27.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
7.0ms	(/ (acos (/ (- g) h)) 3)

simplify249.0ms

Calls

14 calls:

Slowest

40.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
38.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
25.0ms	(* 1/3 (acos (* -1 (/ g h))))
25.0ms	(* 1/3 (acos (* -1 (/ g h))))
24.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune509.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.6b	(cos (* 2/3 PI))
1.0b	(sin (* 2/3 PI))
1.0b	(* 2/3 PI)
1.0b	(* 2/3 PI)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
4×	`log1p-expm1-u`
4×	`add-cube-cbrt`
4×	`add-exp-log`
4×	`add-cbrt-cube`
4×	`*-un-lft-identity`
4×	`pow1`
4×	`expm1-log1p-u`
4×	`add-sqr-sqrt`
2×	`*-commutative`

Calls

4 calls:

Slowest

3.0ms	(cos (* 2/3 PI))
3.0ms	(sin (* 2/3 PI))
0.0ms	(* 2/3 PI)
0.0ms	(* 2/3 PI)

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(cos (* 2/3 PI))
0.0ms	(* 2/3 PI)
0.0ms	(sin (* 2/3 PI))
0.0ms	(* 2/3 PI)

simplify28.0ms

Calls

4 calls:

Slowest

9.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
7.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
5.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
4.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))

prune503.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.6b	(cos (* 2/3 PI))
1.0b	(sin (expm1 (log1p (* 2/3 PI))))
1.0b	(* 2/3 PI)
1.0b	(* 2/3 PI)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
4×	`log1p-expm1-u`
4×	`add-cube-cbrt`
4×	`add-exp-log`
4×	`add-cbrt-cube`
4×	`*-un-lft-identity`
4×	`pow1`
4×	`expm1-log1p-u`
4×	`add-sqr-sqrt`
2×	`*-commutative`
1×	`expm1-udef`
1×	`sin-diff`

Calls

4 calls:

Slowest

4.0ms	(sin (expm1 (log1p (* 2/3 PI))))
3.0ms	(cos (* 2/3 PI))
0.0ms	(* 2/3 PI)
0.0ms	(* 2/3 PI)

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(cos (* 2/3 PI))
0.0ms	(sin (expm1 (log1p (* 2/3 PI))))
0.0ms	(* 2/3 PI)
0.0ms	(* 2/3 PI)

simplify11.0ms

Calls

1 calls:

Slowest

8.0ms

(* (sin (exp (log1p (* 2/3 PI)))) (cos 1))

prune590.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
1.6s	7922×	body	80	nan