Details

sample64.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
18.0ms	283×	body	80	nan

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	29
5	29
4	28
3	26
2	23
1	21
0	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize27.0ms

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)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

5.0ms	(/ (acos (/ (- g) h)) 3.0)
45.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
32.0ms	(/ (* 2.0 PI) 3.0)

series212.0ms

Counts

4 → 10

Calls

4 calls:

21.0ms	(/ (acos (/ (- g) h)) 3.0)
136.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
55.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5423
3	3750
2	956
1	332
0	159

prune565.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 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)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
25×	`times-frac`
16×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-rgt-out`
8×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`pow1`
3×	`associate-/r` `associate-/l`
2×	`+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `frac-add` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sin-sum` `div-exp`

Counts

4 → 73

Calls

4 calls:

4.0ms	(/ PI 3.0)
23.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
25.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
43.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series2.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ PI 3.0)
1.0ms	(+ (/ (* 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)))

simplify2.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
3	2081
2	600
1	217
0	107

prune708.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

40.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
23.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
10.0ms	(/ 1 (sqrt 3.0))
8.0ms	(/ (* 2.0 PI) 3.0)

series468.0ms

Counts

4 → 8

Calls

4 calls:

334.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
133.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify3.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
3	4888
2	1225
1	376
0	175

prune540.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

8.0ms	(/ (* 2.0 PI) 3.0)
12.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(sin (/ (* 2.0 PI) 3.0))
5.0ms	(cos (/ (* 2.0 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)
0.0ms	(sin (/ (* 2.0 PI) 3.0))
0.0ms	(cos (/ (* 2.0 PI) 3.0))

simplify2.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5513
3	2243
2	498
1	158
0	76

prune474.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.4s	8158×	body	80	nan
1.2s	8000×	body	80	valid