Details

Time bar (total: 10.7s)

sample116.0ms

Algorithm
intervals
Results
41.0ms253×body80nan
39.0ms256×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01416
12116
22516
32816
42916
done2916

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×times-frac
11×add-exp-log add-cbrt-cube
6×div-sub associate-/r* add-log-exp
4×pow1 associate-+r- div-inv associate-/l*
3×cbrt-undiv acos-neg acos-asin distribute-frac-neg div-exp
2×cos-diff frac-2neg clear-num
1×+-commutative cos-sum distribute-rgt-out flip3-+ frac-add prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 76
Calls
4 calls:
8.0ms
(/ (acos (/ (- g) h)) 3.0)
24.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
74.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
32.0ms
(/ (* 2.0 PI) 3.0)

series187.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(/ (acos (/ (- g) h)) 3.0)
35.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
131.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.1s

Counts
86 → 86
Iterations

Useful iterations: 2 (239.0ms)

IterNodesCost
01591223
13321165
212291075
done50011075

prune354.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* 2.0 PI) 3.0)
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×times-frac
10×add-sqr-sqrt add-cube-cbrt distribute-rgt-out
9×add-exp-log add-cbrt-cube
8×add-log-exp
5×div-inv
4×pow1
3×associate-/r*
2×cbrt-undiv +-commutative distribute-lft1-in flip3-+ div-exp frac-add sum-log flip-+ distribute-lft-out
1×frac-2neg sin-sum prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 67
Calls
4 calls:
18.0ms
(/ (* 2.0 PI) 3.0)
45.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
27.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
56.0ms
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ (* 2.0 PI) 3.0)
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify878.0ms

Counts
71 → 71
Iterations

Useful iterations: done (874.0ms)

IterNodesCost
0103943
1242900
2962824
done5000804

prune465.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b
(/ PI 3.0)
1.0b
(/ (* 2.0 PI) 3.0)

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×times-frac
16×add-sqr-sqrt add-cube-cbrt
11×add-exp-log add-cbrt-cube
6×associate-/r* add-log-exp
5×distribute-rgt-out
4×pow1 cos-sum div-inv associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg clear-num
1×+-commutative acos-asin cos-diff sub-neg distribute-lft1-in flip3-+ div-sub frac-add prod-exp associate--l+ sum-log cbrt-unprod flip-+ distribute-lft-out associate--r-
Counts
4 → 79
Calls
4 calls:
245.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
40.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms
(/ PI 3.0)
22.0ms
(/ (* 2.0 PI) 3.0)

series111.0ms

Counts
4 → 6
Calls
4 calls:
111.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(/ PI 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify962.0ms

Counts
85 → 85
Iterations

Useful iterations: done (958.0ms)

IterNodesCost
01551042
1338995
21259915
done5000913

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
1.0b
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b
(/ PI 3.0)
1.0b
(/ (* 2.0 PI) 3.0)

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×times-frac
16×add-sqr-sqrt add-cube-cbrt
11×add-exp-log add-cbrt-cube
6×associate-/r* add-log-exp
5×distribute-rgt-out
4×pow1 cos-sum div-inv associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg clear-num
1×+-commutative acos-asin cos-diff sub-neg distribute-lft1-in flip3-+ div-sub frac-add prod-exp associate--l+ sum-log cbrt-unprod flip-+ distribute-lft-out associate--r-
Counts
4 → 79
Calls
4 calls:
216.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
30.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
9.0ms
(/ PI 3.0)
18.0ms
(/ (* 2.0 PI) 3.0)

series141.0ms

Counts
4 → 6
Calls
4 calls:
141.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms
(/ PI 3.0)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.1s

Counts
85 → 85
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01551069
13381022
21259942
done5000940

prune383.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02039
12639
done2639

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.5s7956×body80nan
1.3s8000×body80valid