Details

sample56.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
15.0ms	204×	body	80	nan

simplify29.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize65.0ms

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)

rewrite153.0ms

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:

7.0ms	(/ (acos (/ (- g) h)) 3.0)
52.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
72.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
21.0ms	(/ (* 2.0 PI) 3.0)

series214.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(/ (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)

simplify3.0s

Counts

86 → 86

Iterations

Useful iterations: 2 (197.0ms)

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

prune314.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

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)))

rewrite108.0ms

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)
21.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
22.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
52.0ms	(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)))

simplify2.7s

Counts

71 → 71

Iterations

Useful iterations: 3 (988.0ms)

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

prune349.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `cos-diff` `cube-mult` `associate-+r-` `unpow3` `div-sub` `div-exp` `sqr-pow`
1×	`acos-neg` `acos-asin` `pow-to-exp` `cos-sum` `pow-pow` `frac-2neg` `pow1/3` `distribute-frac-neg` `pow-exp` `prod-exp` `clear-num` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `associate-/l*` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

51.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
4.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
11.0ms	(/ (* 2.0 PI) 3.0)

series402.0ms

Counts

4 → 10

Calls

4 calls:

107.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
118.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
178.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.8s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	140	1766
1	269	1552
2	734	1351
3	3811	1343
done	5000	1343

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 2))
1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(/ (* 2.0 PI) 3.0)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-prod`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
3×	`unpow-prod-down`
2×	`cos-diff` `associate-+r-` `frac-2neg` `div-sub` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`acos-neg` `acos-asin` `cos-sum` `pow1/3` `distribute-frac-neg` `unpow2` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

36.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 2))
11.0ms	(/ (* 2.0 PI) 3.0)
15.0ms	(/ (* 2.0 PI) 3.0)

series335.0ms

Counts

4 → 8

Calls

4 calls:

108.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
227.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 2))
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.0s

Counts

76 → 76

Iterations

Useful iterations: 3 (525.0ms)

Iter	Nodes	Cost
0	129	1226
1	239	1154
2	569	1029
3	2077	1026
done	5000	1026

prune280.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

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)

Iter	Nodes	Cost
0	19	35
1	25	35
done	25	35

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
716.0ms	7722×	body	80	nan