Details

Time bar (total: 14.9s)

sample67.0ms

Algorithm
intervals
Results
29.0ms271×body80nan
21.0ms256×body80valid

simplify24.0ms

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:

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)

rewrite610.0ms

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)
47.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
74.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
471.0ms
(/ (* 2.0 PI) 3.0)

series221.0ms

Counts
4 → 10
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
48.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
160.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify3.1s

Counts
86 → 86
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01591223
13181165
28341075
330061075
done50011075

prune316.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite119.0ms

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:
11.0ms
(/ (* 2.0 PI) 3.0)
22.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
34.0ms
(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
51.0ms
(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)))

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: 3 (965.0ms)

IterNodesCost
0103943
1232900
2664820
32683804
done5000804

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×cbrt-prod *-un-lft-identity
14×add-cube-cbrt
11×pow1 add-exp-log
9×add-cbrt-cube
6×pow1/3 swap-sqr associate-*r* associate-*l* add-log-exp
4×unswap-sqr
3×times-frac associate-/r*
2×cbrt-undiv div-exp pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod
1×+-commutative pow2 cos-sum frac-2neg flip3-+ pow-plus frac-add clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 82
Calls
4 calls:
59.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))
32.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))
16.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
10.0ms
(/ (* 2.0 PI) 3.0)

series199.0ms

Counts
4 → 10
Calls
4 calls:
106.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))
34.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))
59.0ms
(* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))
0.0ms
(/ (* 2.0 PI) 3.0)

simplify2.2s

Counts
92 → 92
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01451912
13171769
210041273
346021112
done50021093

prune222.0ms

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

rewrite75.0ms

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:
21.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
34.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
15.0ms
(/ (* 2.0 PI) 3.0)

series293.0ms

Counts
4 → 10
Calls
4 calls:
33.0ms
(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
105.0ms
(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
154.0ms
(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
0.0ms
(/ (* 2.0 PI) 3.0)

simplify2.4s

Counts
80 → 80
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01471439
13281321
29601193
347051189
done50001189

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02039
12639
done2639

end0.0ms

sample2.1s

Algorithm
intervals
Results
970.0ms8000×body80valid
779.0ms8062×body80nan