Details

Time bar (total: 19.4s)

sample110.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
43.0ms268×body80nan

simplify67.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (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)

rewrite46.0ms

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:
5.0ms
(/ (acos (/ (- g) h)) 3)
22.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
10.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
8.0ms
(/ PI 3/2)

series209.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(/ (acos (/ (- g) h)) 3)
160.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
34.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)

simplify2.0s

Counts
96 → 96
Iterations
IterNodes
42915
31299
2622
1317
0172

prune965.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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
2×cbrt-undiv cos-sum clear-num sub-neg frac-2neg div-exp div-inv distribute-lft-out--
1×associate--l- acos-asin cos-diff flip3-- diff-log div-sub frac-sub flip--
Counts
4 → 88
Calls
4 calls:
12.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
6.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
39.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series186.0ms

Counts
4 → 8
Calls
4 calls:
50.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
135.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.7s

Counts
96 → 96
Iterations
IterNodes
54790
41988
3880
2449
1235
0129

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
29×times-frac
28×add-sqr-sqrt add-cube-cbrt
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
6×add-log-exp
4×pow1 insert-posit16
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
2×div-sub associate-+l- distribute-lft-out
1×acos-asin acos-neg +-commutative sum-log flip3-+ frac-add distribute-frac-neg flip-+
Counts
4 → 101
Calls
4 calls:
21.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
8.0ms
(/ PI 3/2)
13.0ms
(/ PI 3/2)
8.0ms
(/ PI 3/2)

series47.0ms

Counts
4 → 6
Calls
4 calls:
47.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)

simplify1.3s

Counts
107 → 107
Iterations
IterNodes
42385
3949
2432
1201
099

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
44×times-frac
24×*-un-lft-identity
18×difference-of-squares
12×add-cube-cbrt
10×sqrt-prod
8×add-log-exp
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 → 91
Calls
4 calls:
18.0ms
(- (/ (acos (/ g h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2)))
20.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
7.0ms
(/ PI 3/2)
42.0ms
(cos (- (/ (acos (/ g h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))

series558.0ms

Counts
4 → 10
Calls
4 calls:
180.0ms
(- (/ (acos (/ g h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2)))
54.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
323.0ms
(cos (- (/ (acos (/ g h)) 3) (/ (/ PI (sqrt 3/2)) (sqrt 3/2))))

simplify1.6s

Counts
101 → 101
Iterations
IterNodes
43724
31294
2620
1330
0169

prune1.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes328.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
224
124
020

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.1s8000×body80valid
1.7s7807×body80nan