Details

Time bar (total: 12.9s)

sample143.0ms

Algorithm
intervals
Results
70.0ms255×body80nan
49.0ms256×body80valid

simplify39.0ms

Counts
1 → 1
Iterations
IterNodes
done28
428
327
224
121
014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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:
10.0ms
(/ (acos (/ (- g) h)) 3)
15.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
23.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
7.0ms
(/ PI 3/2)

series224.0ms

Counts
4 → 10
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3)
43.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
169.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify644.0ms

Counts
96 → 96
Iterations
IterNodes
done2001
2772
1323
0172

prune923.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
57.3b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
24×*-un-lft-identity
21×times-frac
12×add-cube-cbrt
8×add-log-exp difference-of-squares
6×add-cbrt-cube add-exp-log
4×pow1 insert-posit16 distribute-lft-out--
3×associate-/r* sub-neg associate-/l*
2×associate--l- acos-asin cos-sum flip3-- diff-log div-sub frac-sub flip--
1×cos-diff cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 81
Calls
4 calls:
5.0ms
(/ PI 3/2)
25.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
11.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
19.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series260.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(/ PI 3/2)
45.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
56.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
158.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.2s

Counts
91 → 91
Iterations
IterNodes
done2011
31837
2585
1242
0129

prune724.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(/ (/ PI 2) 3)
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
57.3b
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
66×add-sqr-sqrt
60×*-un-lft-identity
54×add-cube-cbrt
16×associate-/l*
11×add-cbrt-cube add-exp-log
6×associate-/r* div-inv add-log-exp
4×pow1 cbrt-undiv div-exp insert-posit16 difference-of-squares
3×cos-sum
2×clear-num sub-neg frac-2neg div-sub distribute-lft-out--
1×associate--l- acos-asin cos-diff asin-acos flip3-- diff-log frac-sub associate-+l- flip-- associate--r- associate-/l/
Counts
4 → 132
Calls
4 calls:
3.0ms
(/ PI 3/2)
10.0ms
(/ (/ PI 2) 3)
15.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
91.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

series223.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ PI 3/2)
0.0ms
(/ (/ PI 2) 3)
43.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
180.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

simplify797.0ms

Counts
140 → 140
Iterations
IterNodes
done2005
21444
1574
0271

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize112.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (/ (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))
57.3b
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
22×*-un-lft-identity
18×times-frac
12×difference-of-squares
10×add-log-exp
6×distribute-lft-out--
4×pow1 sub-neg add-cbrt-cube div-sub add-exp-log add-cube-cbrt insert-posit16
3×associate--l- acos-asin cos-sum flip3-- diff-log frac-sub flip--
1×cos-diff asin-acos associate-+l- associate--r-
Counts
4 → 75
Calls
4 calls:
13.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
20.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
17.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
88.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
47.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
42.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
136.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

simplify632.0ms

Counts
87 → 87
Iterations
IterNodes
done2000
3832
2365
1189
097

prune870.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done35
135
029

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.0s7900×body80nan
1.5s8000×body80valid