Details

sample115.0ms

Algorithm

intervals

Results

50.0ms	256×	body	80	valid
46.0ms	254×	body	80	nan

simplify78.0ms

Calls

1 calls:

Slowest

77.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-sub` `fma-udef`
1×	`acos-asin` `acos-neg` `cos-sum` `clear-num` `frac-2neg` `distribute-frac-neg` `div-inv`

Calls

3 calls:

Slowest

8.0ms	(/ (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))

series141.0ms

Calls

3 calls:

Slowest

97.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
31.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
13.0ms	(/ (acos (/ (- g) h)) 3)

simplify645.0ms

Calls

14 calls:

Slowest

97.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
92.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
67.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
66.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
62.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune517.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `log-pow`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `div-sub` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `associate-/l*`
2×	`acos-asin` `acos-neg` `log-div` `exp-diff` `distribute-frac-neg` `fma-udef` `div-inv`
1×	`cos-sum` `clear-num` `frac-2neg` `rem-log-exp`

Calls

4 calls:

Slowest

9.0ms	(/ (acos (/ (- g) h)) 3)
8.0ms	(log (exp (/ (acos (/ (- g) h)) 3)))
6.0ms	(cos (fma 2/3 PI (log (exp (/ (acos (/ (- g) h)) 3)))))
0.0ms	(fma 2/3 PI (log (exp (/ (acos (/ (- g) h)) 3))))

series147.0ms

Calls

4 calls:

Slowest

93.0ms	(cos (fma 2/3 PI (log (exp (/ (acos (/ (- g) h)) 3)))))
32.0ms	(fma 2/3 PI (log (exp (/ (acos (/ (- g) h)) 3))))
13.0ms	(/ (acos (/ (- g) h)) 3)
9.0ms	(log (exp (/ (acos (/ (- g) h)) 3)))

simplify891.0ms

Calls

27 calls:

Slowest

92.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
82.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
74.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
60.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
58.0ms	(* 1/3 (acos (* -1 (/ g h))))

prune924.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize29.0ms

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)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`

Calls

4 calls:

Slowest

2.0ms	(cos (* 2/3 PI))
2.0ms	(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	(* 2/3 PI)
0.0ms	(sin (* 2/3 PI))

simplify88.0ms

Calls

4 calls:

Slowest

25.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
21.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
20.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
19.0ms	(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))

prune562.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`

Calls

4 calls:

Slowest

4.0ms	(cos (* 2/3 PI))
0.0ms	(* 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	(* 2/3 PI)
0.0ms	(* 2/3 PI)

simplify2.0ms

Calls

0 calls:

Slowest

prune635.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.0s	8119×	body	80	nan
1.9s	8000×	body	80	valid