Details

Time bar (total: 14.6s)

sample175.0ms

Algorithm
intervals
Results
84.0ms256×body80valid
61.0ms287×body80nan

simplify60.0ms

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

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
20×add-sqr-sqrt times-frac add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-/r* div-sub associate-/l* add-log-exp
4×pow1 associate-+l- insert-posit16
3×acos-asin acos-neg distribute-frac-neg
2×cos-diff cbrt-undiv clear-num frac-2neg div-exp div-inv distribute-lft-out
1×+-commutative cos-sum sum-log flip3-+ frac-add flip-+
Counts
4 → 86
Calls
4 calls:
Slowest
32.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
11.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
6.0ms
(/ PI 3/2)
5.0ms
(/ (acos (/ (- g) h)) 3)

series198.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
146.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
40.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
12.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(/ PI 3/2)

simplify1.9s

Counts
71 → 96
Calls
71 calls:
Slowest
245.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
215.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
91.0ms
(* (cos (/ (/ PI 2) 3)) (cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2))))
81.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
77.0ms
(/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3) (cbrt 3)))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

57.4b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(sin (/ PI 3))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×times-frac
8×add-log-exp difference-of-squares
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 distribute-lft-out--
3×sub-neg
2×associate--l- acos-asin cos-sum flip3-- diff-log div-sub frac-sub flip--
1×cos-diff sin-PI/3
Counts
4 → 62
Calls
4 calls:
Slowest
18.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
15.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
11.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
3.0ms
(sin (/ PI 3))

series291.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
165.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
64.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
61.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(sin (/ PI 3))

simplify1.5s

Counts
44 → 72
Calls
44 calls:
Slowest
255.0ms
(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
85.0ms
(/ (exp (/ (acos (/ g h)) 3)) (exp (/ PI 3/2)))
83.0ms
(/ (exp (/ (acos (/ g h)) 3)) (exp (/ PI 3/2)))
48.0ms
(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))
48.0ms
(- (* 1/3 (acos (/ g h))) (* 2/3 PI))

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

61.8b
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(/ PI 3/2)
1.0b
(sin (/ PI 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity
15×times-frac
12×add-cube-cbrt
6×add-cbrt-cube add-exp-log add-log-exp
4×pow1 insert-posit16 difference-of-squares
3×associate-/r* associate-/l*
2×div-sub distribute-lft-out--
1×associate--l- acos-asin cos-diff cbrt-undiv clear-num sub-neg sin-PI/3 frac-2neg flip3-- diff-log div-exp frac-sub div-inv flip--
Counts
4 → 67
Calls
4 calls:
Slowest
12.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
11.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
8.0ms
(/ PI 3/2)
3.0ms
(sin (/ PI 3))

series236.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
175.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
61.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(sin (/ PI 3))

simplify2.0s

Counts
49 → 75
Calls
49 calls:
Slowest
326.0ms
(* (+ (* (cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2)) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
306.0ms
(* (+ (* (cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2)) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
231.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
156.0ms
(cos (* 2/9 (- (* 3/2 (acos (/ g h))) (* 3 PI))))
129.0ms
(cos (* 2/9 (- (* 3/2 (acos (/ g h))) (* 3 PI))))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.1s8118×body80nan
1.8s8000×body80valid