Details

sample145.0ms

Algorithm

intervals

Results

60.0ms	256×	body	80	nan
59.0ms	256×	body	80	valid

simplify47.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	29
4	29
3	28
2	24
1	21
0	14

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`acos-asin` `acos-neg` `div-sub` `distribute-frac-neg` `fma-udef`
1×	`cbrt-undiv` `cos-sum` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(acos (/ (- g) h))
0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
10.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (- g) h))
55.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
11.0ms	(/ (acos (/ (- g) h)) 3)
155.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.3s

Counts

78 → 78

Iterations

Iter	Nodes
5	3522
4	1316
3	607
2	298
1	161
0	107

prune755.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(acos (/ (- g) h))
0.0b	(fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h)))))
1.0b	(/ 1 (/ 3 (acos (/ (- g) h))))
1.0b	(cos (fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`add-exp-log`
13×	`associate-/r*`
9×	`add-cbrt-cube`
7×	`div-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `fma-udef`
1×	`acos-asin` `acos-neg` `cos-sum` `clear-num` `frac-2neg` `distribute-frac-neg` `associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 113

Calls

4 calls:

1.0ms	(acos (/ (- g) h))
0.0ms	(fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h)))))
13.0ms	(/ 1 (/ 3 (acos (/ (- g) h))))
5.0ms	(cos (fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h))))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (- g) h))
55.0ms	(fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h)))))
21.0ms	(/ 1 (/ 3 (acos (/ (- g) h))))
118.0ms	(cos (fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h))))))

simplify13.6s

Counts

125 → 125

Iterations

Iter	Nodes
4	4108
3	1626
2	788
1	393
0	192

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(* 2/3 PI)
1.0b	(* 2/3 PI)
1.0b	(sin (* 2/3 PI))
1.6b	(cos (* 2/3 PI))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

17.0ms	(* 2/3 PI)
10.0ms	(* 2/3 PI)
10.0ms	(sin (* 2/3 PI))
8.0ms	(cos (* 2/3 PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* 2/3 PI)
0.0ms	(* 2/3 PI)
0.0ms	(sin (* 2/3 PI))
0.0ms	(cos (* 2/3 PI))

simplify3.0s

Counts

66 → 66

Iterations

Iter	Nodes
8	4681
7	1582
6	738
5	417
4	268
3	201
2	141
1	100
0	66

prune705.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

1.0b	(sin (* 2/3 PI))
1.0b	(* 2/3 PI)
1.0b	(* 2/3 PI)
1.6b	(cos (* 2/3 PI))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

8.0ms	(sin (* 2/3 PI))
5.0ms	(* 2/3 PI)
5.0ms	(* 2/3 PI)
8.0ms	(cos (* 2/3 PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sin (* 2/3 PI))
0.0ms	(* 2/3 PI)
0.0ms	(* 2/3 PI)
0.0ms	(cos (* 2/3 PI))

simplify4.1s

Counts

66 → 66

Iterations

Iter	Nodes
8	5017
7	1627
6	723
5	401
4	252
3	191
2	127
1	85
0	55

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes331.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	27
1	27
0	21

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.1s	7881×	body	80	nan
1.8s	8000×	body	80	valid