Details

sample120.0ms

Algorithm

intervals

Results

45.0ms	215×	body	80	nan
38.0ms	256×	body	80	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize41.0ms

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)

rewrite176.0ms

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:

16.0ms	(/ (acos (/ (- g) h)) 3.0)
41.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
95.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
20.0ms	(/ (* 2.0 PI) 3.0)

series277.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(/ (acos (/ (- g) h)) 3.0)
60.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
195.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify1.5s

Counts

86 → 86

Iterations

Useful iterations: 2 (315.0ms)

Iter	Nodes	Cost
0	159	1223
1	332	1165
2	1229	1075
done	5001	1075

prune676.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

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)))

rewrite687.0ms

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:

20.0ms	(/ (* 2.0 PI) 3.0)
543.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
41.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
80.0ms	(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)))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	103	943
1	242	900
2	962	824
done	5000	804

prune776.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
15×	`*-un-lft-identity`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
7×	`div-inv`
6×	`add-log-exp`
5×	`unpow-prod-down` `cube-prod`
4×	`pow1`
3×	`cube-div` `cbrt-div` `distribute-rgt-out` `times-frac` `associate-/r*` `distribute-lft-out`
2×	`cbrt-undiv` `associate-+r-` `flip3-+` `div-sub` `div-exp` `frac-add` `flip-+`
1×	`acos-neg` `+-commutative` `acos-asin` `cube-mult` `frac-2neg` `pow1/3` `unpow3` `distribute-frac-neg` `prod-exp` `clear-num` `sum-log` `rem-cbrt-cube` `cbrt-unprod` `associate-/l*` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

65.0ms	(cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3))
46.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
156.0ms	(cos (cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3)))
20.0ms	(/ (* 2.0 PI) 3.0)

series328.0ms

Counts

4 → 10

Calls

4 calls:

61.0ms	(cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3))
72.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
195.0ms	(cos (cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.0s

Counts

82 → 82

Iterations

Useful iterations: 2 (458.0ms)

Iter	Nodes	Cost
0	143	1599
1	375	1342
2	2030	1213
done	5000	1213

prune570.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b	(sin (/ (* 2.0 PI) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(/ (* 2.0 PI) 3.0)
1.6b	(cos (/ (* 2.0 PI) 3.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 56

Calls

4 calls:

7.0ms	(sin (/ (* 2.0 PI) 3.0))
21.0ms	(/ (* 2.0 PI) 3.0)
25.0ms	(/ (* 2.0 PI) 3.0)
9.0ms	(cos (/ (* 2.0 PI) 3.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sin (/ (* 2.0 PI) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(cos (/ (* 2.0 PI) 3.0))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	74	602
1	151	588
2	666	512
done	5000	504

prune557.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes617.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	50
1	29	50
done	29	50

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.7s	8106×	body	80	nan
1.5s	8000×	body	80	valid