Details

Time bar (total: 10.6s)

sample40.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms243×body80nan

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01416
12116
22516
32816
42916
done2916

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

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)

rewrite43.0ms

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:
3.0ms
(/ (acos (/ (- g) h)) 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
24.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms
(/ (* 2.0 PI) 3.0)

series147.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(/ (acos (/ (- g) h)) 3.0)
32.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
101.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.6s

Counts
86 → 86
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
01591223
13191165
28031075
329941075
done50001075

prune222.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite49.0ms

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:
3.0ms
(/ (* 2.0 PI) 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
13.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
20.0ms
(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)))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: 3 (546.0ms)

IterNodesCost
0103943
1235900
2637820
32614804
done5000804

prune290.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite132.0ms

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:
114.0ms
(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
2.0ms
(/ PI 3.0)
3.0ms
(/ (* 2.0 PI) 3.0)

series103.0ms

Counts
4 → 6
Calls
4 calls:
103.0ms
(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)

simplify1.8s

Counts
85 → 85
Iterations

Useful iterations: 3 (684.0ms)

IterNodesCost
01551042
1323995
2822915
32990907
done5000907

prune212.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

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))

rewrite28.0ms

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:
2.0ms
(/ PI 3.0)
2.0ms
(/ PI 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms
(+ (/ (* 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))

simplify2.5s

Counts
96 → 96
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0981062
12031006
2465954
31336950
44727886
done5000886

prune611.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02039
12639
done2639

end0.0ms

sample1.2s

Algorithm
intervals
Results
489.0ms8000×body80valid
394.0ms8006×body80nan