Details

sample79.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
25.0ms	252×	body	80	nan

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	21	16
2	25	16
3	28	16
4	29	16
done	29	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

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)

rewrite112.0ms

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:

6.0ms	(/ (acos (/ (- g) h)) 3.0)
33.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
54.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
17.0ms	(/ (* 2.0 PI) 3.0)

series210.0ms

Counts

4 → 10

Calls

4 calls:

18.0ms	(/ (acos (/ (- g) h)) 3.0)
46.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
146.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.9s

Counts

86 → 86

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	159	1223
1	318	1165
2	834	1075
3	3006	1075
done	5001	1075

prune341.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite124.0ms

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:

12.0ms	(/ (* 2.0 PI) 3.0)
32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
46.0ms	(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)))

simplify2.8s

Counts

71 → 71

Iterations

Useful iterations: 3 (941.0ms)

Iter	Nodes	Cost
0	103	943
1	232	900
2	664	820
3	2683	804
done	5000	804

prune338.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (acos (/ (- g) h)) (sqrt 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
12×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-sub`
9×	`associate-/r*`
6×	`add-log-exp`
4×	`pow1` `associate-+r-` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num` `div-inv`
1×	`+-commutative` `cos-sum` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

12.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
119.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
234.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
17.0ms	(/ (* 2.0 PI) 3.0)

series568.0ms

Counts

4 → 10

Calls

4 calls:

61.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
157.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
349.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.6s

Counts

97 → 97

Iterations

Useful iterations: 2 (205.0ms)

Iter	Nodes	Cost
0	188	1656
1	366	1402
2	960	1300
3	3548	1300
done	5001	1300

prune367.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
57×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`sqrt-prod`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 114

Calls

4 calls:

7.0ms	(cbrt (/ (acos (/ (- g) h)) (sqrt 3.0)))
17.0ms	(cbrt (/ (acos (/ (- g) h)) (sqrt 3.0)))
7.0ms	(cbrt (/ (acos (/ (- g) h)) (sqrt 3.0)))
19.0ms	(/ (* 2.0 PI) 3.0)

series457.0ms

Counts

4 → 10

Calls

4 calls:

125.0ms	(cbrt (/ (acos (/ (- g) h)) (sqrt 3.0)))
163.0ms	(cbrt (/ (acos (/ (- g) h)) (sqrt 3.0)))
168.0ms	(cbrt (/ (acos (/ (- g) h)) (sqrt 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify3.0s

Counts

124 → 124

Iterations

Useful iterations: 3 (594.0ms)

Iter	Nodes	Cost
0	134	2065
1	224	1959
2	575	1839
3	2043	1830
done	5000	1830

prune580.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	39
1	26	39
done	26	39

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.5s	8144×	body	80	nan
1.0s	8000×	body	80	valid