Details

Time bar (total: 24.7s)

sample126.0ms

Algorithm
intervals
Results
55.0ms256×body80valid
47.0ms244×body80nan

simplify62.0ms

Counts
1 → 1
Iterations
IterNodes
528
428
327
224
121
014

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3)
1.0b
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
1.0b
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
1.0b
(/ PI 3/2)

rewrite477.0ms

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)
445.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
16.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
4.0ms
(/ PI 3/2)

series198.0ms

Counts
4 → 10
Calls
4 calls:
20.0ms
(/ (acos (/ (- g) h)) 3)
139.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
39.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify1.7s

Counts
96 → 96
Iterations
IterNodes
42915
31299
2622
1317
0172

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

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))
56.0b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite48.0ms

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:
4.0ms
(/ PI 3/2)
12.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
13.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
18.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series238.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(/ PI 3/2)
44.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
45.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
149.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.0s

Counts
91 → 91
Iterations
IterNodes
53829
41807
3857
2449
1235
0129

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ g h)) 3)
1.0b
(/ PI 3/2)
1.0b
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
60.0b
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
26×*-un-lft-identity
24×times-frac
20×add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l* add-log-exp
4×pow1 insert-posit16 difference-of-squares
3×div-sub
2×acos-asin cbrt-undiv clear-num frac-2neg div-exp div-inv distribute-lft-out--
1×associate--l- cos-diff sub-neg flip3-- diff-log frac-sub flip--
Counts
4 → 87
Calls
4 calls:
10.0ms
(/ (acos (/ g h)) 3)
7.0ms
(/ PI 3/2)
22.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
13.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

series270.0ms

Counts
4 → 10
Calls
4 calls:
17.0ms
(/ (acos (/ g h)) 3)
0.0ms
(/ PI 3/2)
55.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
198.0ms
(cos (/ (- (* (acos (/ g h)) 3/2) (* 3 PI)) 9/2))

simplify6.0s

Counts
97 → 97
Iterations
IterNodes
46656
31808
2778
1318
0174

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

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))
56.0b
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

rewrite136.0ms

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:
7.0ms
(/ PI 3/2)
14.0ms
(/ (/ PI 2) 3)
23.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
88.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

series279.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ PI 3/2)
0.0ms
(/ (/ PI 2) 3)
73.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
206.0ms
(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))

simplify1.7s

Counts
140 → 140
Iterations
IterNodes
32795
21193
1561
0271

prune2.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
232
132
028

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s8019×body80nan
1.7s8000×body80valid