Details

sample88.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
27.0ms	304×	body	80	nan

simplify54.0ms

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

localize39.0ms

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)

rewrite82.0ms

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:

9.0ms	(/ (acos (/ (- g) h)) 3.0)
20.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
30.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
15.0ms	(/ (* 2.0 PI) 3.0)

series200.0ms

Counts

4 → 10

Calls

4 calls:

20.0ms	(/ (acos (/ (- g) h)) 3.0)
43.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
137.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5340
3	3801
2	955
1	332
0	159

prune551.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

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)))

rewrite87.0ms

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:

7.0ms	(/ PI 3.0)
28.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
16.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
34.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ 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)))

simplify2.2s

Counts

77 → 77

Iterations

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

prune642.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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)

rewrite69.0ms

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)
16.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
33.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
12.0ms	(/ (* 2.0 PI) 3.0)

series220.0ms

Counts

4 → 10

Calls

4 calls:

20.0ms	(/ (acos (/ (- g) h)) 3.0)
62.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
138.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5401
3	3878
2	947
1	330
0	158

prune520.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (acos (/ (- g) h)))
1.0ms	(cbrt (acos (/ (- g) h)))
1.0ms	(cbrt (acos (/ (- g) h)))
8.0ms	(/ (* 2.0 PI) 3.0)

series222.0ms

Counts

4 → 10

Calls

4 calls:

81.0ms	(cbrt (acos (/ (- g) h)))
75.0ms	(cbrt (acos (/ (- g) h)))
66.0ms	(cbrt (acos (/ (- g) h)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5069
3	2435
2	576
1	174
0	79

prune482.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes757.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
1.0s	8104×	body	80	nan