Details

Time bar (total: 18.9s)

sample68.0ms

Algorithm
intervals
Results
25.0ms229×body80nan
21.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
12116
22516
32816
42916
done2916

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (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)

rewrite101.0ms

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:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
24.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
52.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms
(/ (* 2.0 PI) 3.0)

series203.0ms

Counts
4 → 10
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
35.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
155.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify2.7s

Counts
86 → 86
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
01591223
13181165
28341075
330061075
done50011075

prune459.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

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)))

rewrite141.0ms

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:
14.0ms
(/ (* 2.0 PI) 3.0)
22.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
47.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
54.0ms
(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)))

simplify2.7s

Counts
71 → 71
Iterations

Useful iterations: 3 (899.0ms)

IterNodesCost
0103943
1232900
2664820
32683804
done5000804

prune498.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)

rewrite322.0ms

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:
263.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
28.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
7.0ms
(/ PI 3.0)
20.0ms
(/ (* 2.0 PI) 3.0)

series183.0ms

Counts
4 → 6
Calls
4 calls:
183.0ms
(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)

simplify3.1s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01551042
1319995
2820915
32902907
done5000907

prune330.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
34×times-frac
24×add-sqr-sqrt add-cube-cbrt
10×distribute-rgt-out
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r* div-inv associate-/l*
4×pow1
2×cbrt-undiv +-commutative frac-2neg distribute-lft1-in flip3-+ div-exp frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 92
Calls
4 calls:
11.0ms
(/ PI 3.0)
10.0ms
(/ PI 3.0)
52.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
38.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))

series0.0ms

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

simplify3.9s

Counts
96 → 96
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
0981062
12011006
2473954
31203950
43949886
done5000886

prune646.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes316.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02039
12639
done2639

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.3s8004×body80nan
1.1s8000×body80valid