Details

Time bar (total: 10.3s)Debug log

sample122.0ms

Algorithm
intervals
Results
56.0ms256×body80valid
46.0ms282×body80nan

simplify16.0ms

Calls
1 calls:
Slowest
16.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-log-exp
6×div-sub
5×add-cube-cbrt
5×add-sqr-sqrt
4×associate-+l-
4×add-exp-log
4×add-cbrt-cube
4×pow1
3×associate-/l*
3×distribute-frac-neg
3×acos-neg
3×acos-asin
2×div-inv
2×frac-2neg
2×clear-num
2×cos-diff
1×distribute-lft-out
1×flip-+
1×frac-add
1×flip3-+
1×sum-log
1×cos-sum
1×+-commutative
Calls
4 calls:
Slowest
20.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
6.0ms
(/ (acos (/ (- g) h)) 3)
5.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

series154.0ms

Calls
4 calls:
Slowest
105.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
42.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
7.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(/ PI 3/2)

simplify291.0ms

Calls
23 calls:
Slowest
47.0ms
(* (cos (/ (/ PI 2) 3)) (cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2))))
27.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
24.0ms
(* 1/3 (acos (* -1 (/ g h))))
24.0ms
(* 1/3 (acos (* -1 (/ g h))))
23.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune622.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

56.5b
(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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
8×add-log-exp
8×*-un-lft-identity
8×add-sqr-sqrt
4×add-cube-cbrt
4×add-exp-log
4×add-cbrt-cube
4×pow1
3×sub-neg
2×difference-of-squares
2×distribute-lft-out--
2×flip--
2×frac-sub
2×div-sub
2×diff-log
2×flip3--
2×cos-sum
2×acos-asin
2×associate--l-
1×sin-PI/3
1×cos-diff
Calls
4 calls:
Slowest
15.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
6.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
5.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
2.0ms
(sin (/ PI 3))

series193.0ms

Calls
4 calls:
Slowest
110.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
44.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
39.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(sin (/ PI 3))

simplify461.0ms

Calls
28 calls:
Slowest
222.0ms
(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
32.0ms
(/ (exp (/ (acos (/ g h)) 3)) (exp (/ PI 3/2)))
23.0ms
(/ (exp (/ (acos (/ g h)) 3)) (exp (/ PI 3/2)))
14.0ms
(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))
13.0ms
(- (* (acos (/ g h)) 3/2) (* 3 PI))

prune862.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

60.6b
(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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
6×*-un-lft-identity
6×add-sqr-sqrt
4×add-cube-cbrt
4×add-exp-log
4×add-cbrt-cube
4×pow1
2×div-sub
1×difference-of-squares
1×distribute-lft-out--
1×flip--
1×div-inv
1×frac-sub
1×diff-log
1×flip3--
1×frac-2neg
1×sin-PI/3
1×sub-neg
1×clear-num
1×cos-diff
1×acos-asin
1×associate--l-
Calls
4 calls:
Slowest
14.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
4.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
2.0ms
(sin (/ PI 3))
0.0ms
(/ PI 3/2)

series158.0ms

Calls
4 calls:
Slowest
119.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))
38.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(sin (/ PI 3))

simplify653.0ms

Calls
17 calls:
Slowest
193.0ms
(* (+ (* (cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2)) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
175.0ms
(* (+ (* (cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2)) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
66.0ms
(cos (* 2/9 (- (* 3/2 (acos (/ g h))) (* 3 PI))))
57.0ms
(cos (* 2/9 (- (* 3/2 (acos (/ g h))) (* 3 PI))))
45.0ms
(cos (* 2/9 (- (* 3/2 (acos (/ g h))) (* 3 PI))))

prune820.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

1.0b
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
1.0b
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
0.0b
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
4×add-cube-cbrt
4×*-un-lft-identity
4×add-sqr-sqrt
3×associate-/l*
3×add-exp-log
3×add-cbrt-cube
3×pow1
2×associate-/l/
2×flip-+
2×flip3-+
1×div-inv
1×frac-2neg
1×sum-log
1×clear-num
1×+-commutative
Calls
3 calls:
Slowest
10.0ms
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
10.0ms
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
9.0ms
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

series146.0ms

Calls
3 calls:
Slowest
83.0ms
(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
39.0ms
(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
23.0ms
(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))

simplify787.0ms

Calls
14 calls:
Slowest
256.0ms
(- (* (* (acos (/ (- g) h)) 3/2) (* (acos (/ (- g) h)) 3/2)) (* (* 3 PI) (* 3 PI)))
136.0ms
(+ (pow (* (acos (/ (- g) h)) 3/2) 3) (pow (* 3 PI) 3))
56.0ms
(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))
55.0ms
(* (exp (* (acos (/ (- g) h)) 3/2)) (exp (* 3 PI)))
48.0ms
(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))

prune399.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes321.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.2s8000×body80valid
1.5s7922×body80nan