Details

Time bar (total: 14.1s)

sample90.0ms

Algorithm
intervals
Results
43.0ms256×body80valid
24.0ms228×body80nan

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014435
121435
225435
328435
429435
done29435

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)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log
6×associate-/r* div-sub add-log-exp
4×pow1 associate-+r- div-inv associate-/l*
3×acos-asin cbrt-undiv acos-neg div-exp distribute-frac-neg
2×cos-diff clear-num frac-2neg
1×+-commutative cos-sum sum-log flip3-+ distribute-rgt-out frac-add prod-exp cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 76
Calls
4 calls:
9.0ms
(/ (acos (/ (- g) h)) 3.0)
31.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
54.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
26.0ms
(/ (* 2.0 PI) 3.0)

series206.0ms

Counts
4 → 10
Calls
4 calls:
19.0ms
(/ (acos (/ (- g) h)) 3.0)
46.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
142.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.3s

Counts
86 → 86
Iterations

Useful iterations: 2 (328.0ms)

IterNodesCost
015929736
133228791
2122728431
done500128431

prune499.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
25×times-frac
16×add-sqr-sqrt add-cube-cbrt
10×distribute-rgt-out
8×add-log-exp
6×add-cbrt-cube add-exp-log
5×div-inv
4×pow1
3×associate-/r* associate-/l*
2×+-commutative sum-log distribute-lft1-in flip3-+ frac-add flip-+ distribute-lft-out
1×cbrt-undiv clear-num frac-2neg sin-sum div-exp
Counts
4 → 73
Calls
4 calls:
4.0ms
(/ PI 3.0)
17.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
28.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
62.0ms
(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

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

simplify1.9s

Counts
77 → 77
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
010719694
121718359
258018199
3233718199
done500018199

prune699.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
13×add-exp-log
12×sqrt-prod
11×add-cbrt-cube
9×associate-/r*
6×pow1 add-log-exp
4×div-exp associate-/l*
3×cbrt-undiv frac-add pow-flip
2×clear-num frac-2neg div-inv
1×frac-times +-commutative rec-exp cos-sum sum-log sqrt-pow1 flip3-+ pow1/2 1-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod flip-+ inv-pow
Counts
4 → 88
Calls
4 calls:
27.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
37.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
11.0ms
(/ 1 (sqrt 3.0))
12.0ms
(/ (* 2.0 PI) 3.0)

series472.0ms

Counts
4 → 8
Calls
4 calls:
162.0ms
(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
310.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.7s

Counts
96 → 96
Iterations

Useful iterations: done (1.7s)

IterNodesCost
017530787
139125412
2208124270
done500024230

prune869.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
36×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×sqrt-prod
17×add-exp-log
15×associate-/r*
13×add-cbrt-cube
8×pow1
7×associate-/l*
6×div-exp pow-flip
4×cbrt-undiv add-log-exp
3×clear-num frac-2neg div-inv
2×rec-exp sqrt-pow1 pow1/2 1-exp inv-pow
1×cos-sum prod-exp cbrt-unprod
Counts
4 → 119
Calls
4 calls:
67.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
11.0ms
(/ 1 (sqrt 3.0))
6.0ms
(/ 1 (sqrt 3.0))
8.0ms
(/ (* 2.0 PI) 3.0)

series339.0ms

Counts
4 → 6
Calls
4 calls:
338.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.2s

Counts
125 → 125
Iterations

Useful iterations: done (1.1s)

IterNodesCost
014431077
127923393
2132123273
done500023153

prune670.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes381.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
025896
134896
done34896

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8067×body80nan
1.1s8000×body80valid