Details

Time bar (total: 9.6s)

sample44.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
14.0ms286×body80nan

simplify13.0ms

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

localize18.0ms

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)

rewrite39.0ms

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:
2.0ms
(/ (acos (/ (- g) h)) 3.0)
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
21.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms
(/ (* 2.0 PI) 3.0)

series150.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
38.0ms
(+ (/ (* 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)

simplify1.2s

Counts
86 → 86
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
01591223
13281165
29251075
333721075
done50001075

prune206.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite47.0ms

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))
11.0ms
(+ (/ (* 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)))

simplify953.0ms

Counts
71 → 71
Iterations

Useful iterations: 3 (237.0ms)

IterNodesCost
0103943
1241900
2685820
32911804
done5000804

prune270.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
1.0b
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b
(/ (* 2.0 PI) 3.0)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt add-cube-cbrt
6×add-log-exp
5×pow1
4×associate-+r- div-sub
3×unpow-prod-down pow-unpow times-frac cube-prod associate-/r* div-inv
2×cbrt-undiv acos-neg acos-asin cos-diff distribute-frac-neg div-exp
1×+-commutative cube-mult pow-to-exp cos-sum distribute-rgt-out pow-pow frac-2neg flip3-+ unpow3 frac-add pow-exp prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l* rem-cube-cbrt sqr-pow
Counts
4 → 70
Calls
4 calls:
11.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
2.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
20.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms
(/ (* 2.0 PI) 3.0)

series287.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
155.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
100.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify1.9s

Counts
80 → 80
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
01471439
13421321
210181193
346921193
done50001193

prune208.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(pow (cos (+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0))) 3)
1.0b
(+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0))
1.0b
(cos (+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log add-cbrt-cube
6×div-sub add-log-exp
5×pow1
4×associate-+r-
3×acos-neg acos-asin unpow-prod-down pow-unpow cube-prod distribute-frac-neg frac-add associate-/r* associate-/l*
2×cos-diff
1×cbrt-undiv +-commutative cube-mult frac-times pow-to-exp cos-sum pow-pow frac-2neg flip3-+ unpow3 associate-*r/ div-exp associate-*l/ pow-exp clear-num sum-log flip-+ div-inv rem-cube-cbrt sqr-pow
Counts
4 → 78
Calls
4 calls:
2.0ms
(/ (acos (/ (- g) h)) 3.0)
2.0ms
(pow (cos (+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0))) 3)
17.0ms
(+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0))
37.0ms
(cos (+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) 3.0)
226.0ms
(pow (cos (+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0))) 3)
100.0ms
(+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0))
173.0ms
(cos (+ (* (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0))) (/ (acos (/ (- g) h)) 3.0)))

simplify1.9s

Counts
90 → 90
Iterations

Useful iterations: 3 (361.0ms)

IterNodesCost
01632167
13562022
29811606
344371426
done50001426

prune256.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes350.0ms

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

sample1.1s

Algorithm
intervals
Results
454.0ms8000×body80valid
382.0ms8068×body80nan