Details

sample98.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
29.0ms	246×	body	80	nan

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	29
4	29
3	28
2	25
1	21
0	14

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

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)

rewrite93.0ms

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)
23.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
56.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
8.0ms	(/ (* 2.0 PI) 3.0)

series195.0ms

Counts

4 → 10

Calls

4 calls:

21.0ms	(/ (acos (/ (- g) h)) 3.0)
52.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
121.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify940.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1227
1	332
0	159

prune562.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3.0)
1.0b	(+ (/ PI 3.0) (* (/ PI 3.0) 2.0))
1.0b	(+ (/ PI 3.0) (* (/ PI 3.0) 2.0))
58.2b	(sin (+ (/ PI 3.0) (* (/ PI 3.0) 2.0)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-/l`
2×	`+-commutative` `sum-log` `flip3-+` `associate-*l/` `frac-add` `flip-+`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sin-sum` `div-exp` `div-inv`

Counts

4 → 59

Calls

4 calls:

5.0ms	(/ PI 3.0)
13.0ms	(+ (/ PI 3.0) (* (/ PI 3.0) 2.0))
25.0ms	(+ (/ PI 3.0) (* (/ PI 3.0) 2.0))
43.0ms	(sin (+ (/ PI 3.0) (* (/ PI 3.0) 2.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify2.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
3	3357
2	641
1	212
0	101

prune524.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `cos-sum`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`acos-asin` `cos-diff` `+-commutative` `sum-log` `sub-neg` `flip3-+` `div-sub` `associate-*l/` `frac-add` `associate--l+` `flip-+` `associate--r-`

Counts

4 → 78

Calls

4 calls:

111.0ms	(cos (- (+ (/ PI 3.0) (* (/ PI 3.0) 2.0)) (/ (acos (/ g h)) 3.0)))
30.0ms	(+ (/ PI 3.0) (* (/ PI 3.0) 2.0))
8.0ms	(/ PI 3.0)
8.0ms	(/ PI 3.0)

series157.0ms

Counts

4 → 6

Calls

4 calls:

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

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5004
3	3334
2	688
1	248
0	126

prune497.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (/ (* (+ 1 2.0) PI) 3.0) (/ (/ PI 3.0) 2))
1.0b	(- (/ (* (+ 1 2.0) PI) 3.0) (/ (/ PI 3.0) 2))
1.0b	(/ PI 3.0)
1.0b	(/ PI 3.0)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`associate-/r` `associate-/l` `difference-of-squares`
4×	`pow1`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

59.0ms	(- (/ (* (+ 1 2.0) PI) 3.0) (/ (/ PI 3.0) 2))
65.0ms	(- (/ (* (+ 1 2.0) PI) 3.0) (/ (/ PI 3.0) 2))
7.0ms	(/ PI 3.0)
7.0ms	(/ PI 3.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(- (/ (* (+ 1 2.0) PI) 3.0) (/ (/ PI 3.0) 2))
0.0ms	(- (/ (* (+ 1 2.0) PI) 3.0) (/ (/ PI 3.0) 2))
0.0ms	(/ PI 3.0)
0.0ms	(/ PI 3.0)

simplify1.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
3	3263
2	617
1	219
0	106

prune803.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
1.1s	7949×	body	80	nan