Details

sample115.0ms

Algorithm

intervals

Results

57.0ms	251×	body	80	nan
37.0ms	256×	body	80	valid

simplify59.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

59.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

Local error

Found 4 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))
0.0b	(acos (/ (- g) h))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

Slowest

5.0ms	(/ (acos (/ (- g) h)) 3)
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0ms	(acos (/ (- g) h))
0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series219.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
54.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
19.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(acos (/ (- g) h))

simplify1.3s

Counts

39 → 78

Calls

39 calls:

Slowest

270.0ms	(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
92.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
75.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
65.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
64.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune878.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

Slowest

7.0ms	(/ (acos (/ (- g) h)) 3)
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series920.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

604.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
167.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
137.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
11.0ms	(/ (acos (/ (- g) h)) 3)

simplify1.5s

Counts

41 → 79

Calls

41 calls:

Slowest

180.0ms	(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
89.0ms	(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
88.0ms	(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
86.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
82.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune956.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.0b

regimes225.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	7984×	body	80	nan
1.8s	8000×	body	80	valid