Details

Time bar (total: 9.5s)

sample78.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
31.0ms272×body80nan

simplify55.0ms

Calls
1 calls:
Slowest
55.0ms
(* 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

localize40.0ms

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))

rewrite13.0ms

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))

series206.0ms

Calls
3 calls:
Slowest
150.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
44.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms
(/ (acos (/ (- g) h)) 3)

simplify578.0ms

Calls
14 calls:
Slowest
78.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
74.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
65.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
59.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
58.0ms
(* 1/3 (acos (* -1 (/ g h))))

prune597.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize48.0ms

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)

rewrite9.0ms

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

simplify128.0ms

Calls
4 calls:
Slowest
42.0ms
(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
35.0ms
(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
24.0ms
(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))
24.0ms
(* (cos (* 2/3 PI)) (cos (/ (acos (/ (- g) h)) 3)))

prune664.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

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
(sin (* 2/3 PI))

rewrite8.0ms

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

simplify3.0ms

Calls
0 calls:
Slowest

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

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
(sin (* 2/3 PI))

rewrite9.0ms

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

simplify3.0ms

Calls
0 calls:
Slowest

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes363.0ms

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
2.2s8000×body80valid
1.5s8008×body80nan