Details

sample103.0ms

Algorithm

intervals

Results

36.0ms	256×	body	80	valid
31.0ms	253×	body	80	nan

simplify67.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

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)

rewrite121.0ms

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:

13.0ms	(/ (acos (/ (- g) h)) 3.0)
41.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
51.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
12.0ms	(/ (* 2.0 PI) 3.0)

series624.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(/ (acos (/ (- g) h)) 3.0)
47.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
555.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify3.2s

Counts

86 → 86

Iterations

Useful iterations: 2 (210.0ms)

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

prune325.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

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)))

rewrite156.0ms

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:

10.0ms	(/ (* 2.0 PI) 3.0)
38.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
24.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
82.0ms	(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)))

simplify2.9s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.1s)

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

prune478.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 PI) (acos (/ (- g) h)))
0.0b	(/ (* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h)))) (* 3.0 3.0))
0.9b	(* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h))))
1.0b	(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h)))) (* 3.0 3.0)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`associate-+r-` `associate-/l/`
1×	`acos-neg` `+-commutative` `distribute-rgt-in` `acos-asin` `frac-2neg` `distribute-lft-in` `times-frac` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

17.0ms	(+ (* 2.0 PI) (acos (/ (- g) h)))
22.0ms	(/ (* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h)))) (* 3.0 3.0))
40.0ms	(* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h))))
11.0ms	(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h)))) (* 3.0 3.0)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* 2.0 PI) (acos (/ (- g) h)))
72.0ms	(/ (* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h)))) (* 3.0 3.0))
56.0ms	(* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h))))
143.0ms	(cos (/ (* 3.0 (+ (* 2.0 PI) (acos (/ (- g) h)))) (* 3.0 3.0)))

simplify3.3s

Counts

77 → 77

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	111	1384
1	310	1292
2	1184	1000
done	5001	998

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

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:

42.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
6.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
59.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms	(/ (* 2.0 PI) 3.0)

series423.0ms

Counts

4 → 10

Calls

4 calls:

38.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
227.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
157.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify3.7s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	147	1439
1	328	1321
2	960	1193
3	4671	1189
done	5000	1189

prune379.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes490.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.4s	8255×	body	80	nan
1.3s	8000×	body	80	valid