Details

Time bar (total: 13.2s)

sample146.0ms

Algorithm
intervals
Results
64.0ms288×body80nan
59.0ms256×body80valid

simplify51.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

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)

rewrite50.0ms

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)
18.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
16.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
4.0ms
(/ PI 3/2)

series201.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(/ (acos (/ (- g) h)) 3)
32.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
155.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
done2001
32001
2772
1323
0172

prune375.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

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)
56.5b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite53.0ms

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:
13.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
7.0ms
(/ PI 3/2)
6.0ms
(/ PI 3/2)
26.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series195.0ms

Counts
4 → 8
Calls
4 calls:
57.0ms
(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
137.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.7s

Counts
96 → 96
Iterations
IterNodes
done2026
42026
31828
2588
1242
0129

prune673.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
56.5b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
2×cos-sum
1×cos-diff sub-neg
Counts
4 → 95
Calls
4 calls:
7.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)
11.0ms
(/ PI 3/2)
17.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series160.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
160.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.3s

Counts
101 → 101
Iterations
IterNodes
done2017
42017
3717
2304
1137
085

prune853.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
1.0b
(sin (/ PI 3/2))
1.6b
(cos (/ PI 3/2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l*
4×pow1 insert-posit16 add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 72
Calls
4 calls:
3.0ms
(/ PI 3/2)
8.0ms
(/ PI 3/2)
3.0ms
(sin (/ PI 3/2))
3.0ms
(cos (/ PI 3/2))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ PI 3/2)
0.0ms
(/ PI 3/2)
0.0ms
(sin (/ PI 3/2))
0.0ms
(cos (/ PI 3/2))

simplify981.0ms

Counts
76 → 76
Iterations
IterNodes
done2008
42008
3767
2273
1125
079

prune405.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes270.0ms

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
done28
128
022

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.2s8000×body80valid
1.7s8129×body80nan