Details

sample88.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
25.0ms	230×	body	80	nan

simplify28.0ms

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

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)
62.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
42.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
20.0ms	(/ (* 2.0 PI) 3.0)

series197.0ms

Counts

4 → 10

Calls

4 calls:

15.0ms	(/ (acos (/ (- g) h)) 3.0)
146.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
36.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify1.1s

Counts

86 → 86

Iterations

Useful iterations: 2 (257.0ms)

Iter	Nodes	Cost
0	159	1223
1	332	1165
2	1232	1075
done	5000	1075

prune361.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

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)))

rewrite144.0ms

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:

18.0ms	(/ (* 2.0 PI) 3.0)
30.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
30.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
62.0ms	(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)))

simplify813.0ms

Counts

71 → 71

Iterations

Useful iterations: done (810.0ms)

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

prune360.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`times-frac`
16×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
5×	`distribute-rgt-out`
4×	`pow1` `cos-sum` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `acos-asin` `cos-diff` `sub-neg` `distribute-lft1-in` `flip3-+` `div-sub` `frac-add` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r-`

Counts

4 → 79

Calls

4 calls:

225.0ms	(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
21.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
5.0ms	(/ PI 3.0)
16.0ms	(/ (* 2.0 PI) 3.0)

series112.0ms

Counts

4 → 6

Calls

4 calls:

111.0ms	(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(/ PI 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify889.0ms

Counts

85 → 85

Iterations

Useful iterations: done (885.0ms)

Iter	Nodes	Cost
0	155	1042
1	338	995
2	1259	915
done	5000	913

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3.0)
1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(/ (* 2.0 PI) 3.0)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

9.0ms	(/ PI 3.0)
16.0ms	(/ (* 2.0 PI) 3.0)
10.0ms	(/ (* 2.0 PI) 3.0)
14.0ms	(/ (* 2.0 PI) 3.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify804.0ms

Counts

94 → 94

Iterations

Useful iterations: done (800.0ms)

Iter	Nodes	Cost
0	89	920
1	198	890
2	906	808
done	5001	788

prune549.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
1.2s	8149×	body	80	nan