Details

sample44.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
11.0ms	232×	body	80	nan

simplify13.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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)

rewrite42.0ms

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:

3.0ms	(/ (acos (/ (- g) h)) 3.0)
23.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
3.0ms	(/ (* 2.0 PI) 3.0)

series141.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
99.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify1.4s

Counts

86 → 86

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	159	1223
1	319	1165
2	841	1075
3	3515	1075
done	5000	1075

prune234.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite49.0ms

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:

3.0ms	(/ (* 2.0 PI) 3.0)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
21.0ms	(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: 3 (448.0ms)

Iter	Nodes	Cost
0	103	943
1	235	900
2	669	820
3	3022	804
done	5000	804

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 223

Calls

4 calls:

11.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
123.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
64.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)

series419.0ms

Counts

4 → 10

Calls

4 calls:

82.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
229.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
108.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify863.0ms

Counts

233 → 233

Iterations

Useful iterations: 2 (360.0ms)

Iter	Nodes	Cost
0	353	5376
1	780	4657
2	2148	4368
done	5000	4368

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite10.0ms

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:

1.0ms	(sin (/ (* 2.0 PI) 3.0))
3.0ms	(/ (* 2.0 PI) 3.0)
3.0ms	(/ (* 2.0 PI) 3.0)
1.0ms	(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))

simplify953.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	76	614
1	148	600
2	455	516
3	2034	516
done	5001	516

prune194.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	21	42
1	27	42
done	27	42

end0.0ms

sample1.2s

Algorithm

intervals

Results

479.0ms	8000×	body	80	valid
394.0ms	8018×	body	80	nan