Details

sample103.0ms

Algorithm

intervals

Results

56.0ms	256×	body	80	valid
30.0ms	205×	body	80	nan

simplify53.0ms

Calls

1 calls:

Slowest

53.0ms

(* 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	(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))

rewrite7.0ms

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

4.0ms	(/ (acos (/ (- g) h)) 3)
2.0ms	(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

90.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
37.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
14.0ms	(/ (acos (/ (- g) h)) 3)

simplify847.0ms

Calls

14 calls:

Slowest

345.0ms	(* 1/3 (acos (* -1 (/ g h))))
84.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
66.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
65.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
60.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune558.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize10.0ms

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series402.0ms

Calls

4 calls:

Slowest

165.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
142.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
83.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
12.0ms	(/ (acos (/ (- g) h)) 3)

simplify909.0ms

Calls

19 calls:

Slowest

87.0ms	(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
86.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
78.0ms	(- (exp (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))) 1)
70.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
68.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune806.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series310.0ms

Calls

4 calls:

Slowest

157.0ms	(cos (expm1 (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
112.0ms	(expm1 (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
29.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms	(/ (acos (/ (- g) h)) 3)

simplify870.0ms

Calls

17 calls:

Slowest

88.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
86.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
82.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
74.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
72.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune788.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(sin (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
1.0b	(* (cos (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))) (cos 1))
1.0b	(exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
1.0b	(exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `exp-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
3×	`associate-r` `associate-l`
2×	`log1p-udef`
1×	`pow-prod-down` `prod-exp` `cos-mult` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

8.0ms	(* (cos (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))) (cos 1))
4.0ms	(sin (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
2.0ms	(exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
2.0ms	(exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

series580.0ms

Calls

4 calls:

Slowest

226.0ms	(* (cos (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))) (cos 1))
157.0ms	(sin (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
110.0ms	(exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
86.0ms	(exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

simplify1.9s

Calls

29 calls:

Slowest

178.0ms	(* (* (* (cos (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))) (cos (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))) (cos (exp (log1p (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))) (* (* (cos 1) (cos 1)) (cos 1)))
117.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (+ (* 2/3 PI) 1))
114.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (+ (* 2/3 PI) 1))
113.0ms	(* (cos 1) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (+ (* 2/3 PI) 1))))
105.0ms	(* (cos 1) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (+ (* 2/3 PI) 1))))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

0% (0.0b remaining)

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

bsearch11.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.9s	7851×	body	80	nan
1.7s	8000×	body	80	valid