Details

sample123.0ms

Algorithm

intervals

Results

58.0ms	256×	body	80	valid
46.0ms	256×	body	80	nan

simplify32.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

32.0ms

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

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

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))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

Slowest

10.0ms	(/ (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))

series178.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

127.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
37.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
15.0ms	(/ (acos (/ (- g) h)) 3)

simplify1.1s

Counts

36 → 63

Calls

36 calls:

Slowest

204.0ms	(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
71.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
69.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
66.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
57.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune677.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`
1×	`cos-sum`

Counts

4 → 54

Calls

4 calls:

Slowest

3.0ms	(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))
1.0ms	(sqrt (acos (/ (- g) h)))
1.0ms	(sqrt (acos (/ (- g) h)))
0.0ms	(fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))
34.0ms	(fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))
15.0ms	(sqrt (acos (/ (- g) h)))
15.0ms	(sqrt (acos (/ (- g) h)))

simplify738.0ms

Counts

23 → 66

Calls

23 calls:

Slowest

72.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
69.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
65.0ms	(* (cos (* 2/3 PI)) (cos (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))
65.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
60.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune874.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))
1.0b	(log1p (expm1 (cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))))
1.0b	(expm1 (cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))))
1.0b	(sqrt (acos (/ (- g) h)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
1×	`rem-sqrt-square` `cos-sum` `log1p-udef` `expm1-log1p` `sqrt-pow1` `pow1/2` `log1p-expm1` `fma-udef` `expm1-udef`

Counts

4 → 51

Calls

4 calls:

Slowest

4.0ms	(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))
2.0ms	(sqrt (acos (/ (- g) h)))
1.0ms	(expm1 (cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

209.0ms	(expm1 (cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))))
206.0ms	(log1p (expm1 (cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))))
141.0ms	(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))
18.0ms	(sqrt (acos (/ (- g) h)))

simplify1.1s

Counts

20 → 63

Calls

20 calls:

Slowest

111.0ms	(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
109.0ms	(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
101.0ms	(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
97.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
78.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune820.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.0b

regimes157.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch3.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.2s	8226×	body	80	nan
1.5s	8000×	body	80	valid