Details

sample160.0ms

Algorithm

intervals

Results

78.0ms	261×	body	80	nan
59.0ms	256×	body	80	valid

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	28
4	28
3	27
2	24
1	21
0	14

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (acos (/ (- g) h)) 3)
1.0b	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
1.0b	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
1.0b	(/ PI 3/2)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `div-sub` `associate-/l` `add-log-exp`
4×	`pow1` `associate-+l-` `insert-posit16`
3×	`acos-asin` `acos-neg` `distribute-frac-neg`
2×	`cos-diff` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out`
1×	`+-commutative` `cos-sum` `sum-log` `flip3-+` `frac-add` `flip-+`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/ (acos (/ (- g) h)) 3)
20.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
33.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
17.0ms	(/ PI 3/2)

series189.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(/ (acos (/ (- g) h)) 3)
50.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
128.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms	(/ PI 3/2)

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
4	2778
3	1289
2	624
1	317
0	172

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)
56.4b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `cos-sum` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`
1×	`associate--l-` `acos-asin` `cos-diff` `flip3--` `diff-log` `div-sub` `frac-sub` `flip--`

Counts

4 → 88

Calls

4 calls:

23.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
13.0ms	(/ PI 3/2)
4.0ms	(/ PI 3/2)
16.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series250.0ms

Counts

4 → 8

Calls

4 calls:

53.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)
196.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.8s

Counts

96 → 96

Iterations

Iter	Nodes
5	4181
4	1986
3	877
2	447
1	235
0	129

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (acos (/ (- g) h)) (sqrt 3))
1.0b	(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
1.0b	(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
1.0b	(/ PI 3/2)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
29×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`sqrt-prod`
10×	`div-sub`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `associate-+l-` `insert-posit16`
3×	`acos-asin` `acos-neg` `distribute-frac-neg`
2×	`cos-diff` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out`
1×	`+-commutative` `cos-sum` `sum-log` `flip3-+` `frac-add` `flip-+`

Counts

4 → 98

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
48.0ms	(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
69.0ms	(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
7.0ms	(/ PI 3/2)

series513.0ms

Counts

4 → 10

Calls

4 calls:

70.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
136.0ms	(+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2))
306.0ms	(cos (+ (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))
0.0ms	(/ PI 3/2)

simplify2.5s

Counts

108 → 108

Iterations

Iter	Nodes
4	4610
3	1691
2	711
1	348
0	196

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3/2)
1.0b	(sin (/ (/ PI (sqrt 3)) (sqrt 3)))
1.6b	(cos (/ (/ PI (sqrt 3)) (sqrt 3)))
56.4b	(cos (- (/ (/ (acos (/ g h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`cos-sum`
1×	`cos-diff` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 55

Calls

4 calls:

4.0ms	(/ PI 3/2)
6.0ms	(sin (/ (/ PI (sqrt 3)) (sqrt 3)))
6.0ms	(cos (/ (/ PI (sqrt 3)) (sqrt 3)))
71.0ms	(cos (- (/ (/ (acos (/ g h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))

series302.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/ PI 3/2)
0.0ms	(sin (/ (/ PI (sqrt 3)) (sqrt 3)))
0.0ms	(cos (/ (/ PI (sqrt 3)) (sqrt 3)))
302.0ms	(cos (- (/ (/ (acos (/ g h)) (sqrt 3)) (sqrt 3)) (/ PI 3/2)))

simplify1.2s

Counts

61 → 61

Iterations

Iter	Nodes
5	2208
4	947
3	442
2	263
1	162
0	109

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	27
1	27
0	23

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.8s	8112×	body	80	nan