Details

sample115.0ms

Algorithm

intervals

Results

50.0ms	234×	body	80	nan
45.0ms	256×	body	80	valid

simplify51.0ms

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize59.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
0.9b	(/ (acos (/ (- g) h)) 3)
1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
10.0ms	(/ (acos (/ (- g) h)) 3)
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
20.0ms	(/ (acos (/ (- g) h)) 3)
156.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.5s

Counts

63 → 63

Iterations

Iter	Nodes
done	2000
4	2000
3	712
2	301
1	160
0	103

prune623.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
156×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
144×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
6×	`div-sub`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`acos-asin` `acos-neg` `clear-num` `frac-2neg` `distribute-frac-neg` `fma-udef`
1×	`cos-sum` `associate-/l/`

Counts

4 → 246

Calls

4 calls:

0.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
15.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
10.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

series589.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
100.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
57.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
276.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

simplify1.1s

Counts

258 → 258

Iterations

Iter	Nodes
done	2003
3	2003
2	1244
1	606
0	302

prune3.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize56.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (acos (/ (- g) h)) 3)
0.9b	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
1.0b	(log1p (expm1 (cos (fma 2/3 PI (/ (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`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`div-sub`
1×	`acos-asin` `cbrt-undiv` `acos-neg` `cos-sum` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `distribute-frac-neg` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 67

Calls

4 calls:

10.0ms	(/ (acos (/ (- g) h)) 3)
1.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series682.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (acos (/ (- g) h)) 3)
244.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
254.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
165.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify1.3s

Counts

79 → 79

Iterations

Iter	Nodes
done	2011
5	2011
4	1340
3	677
2	319
1	183
0	116

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

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))

rewrite50.0ms

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:

14.0ms	(sin (* 2/3 PI))
10.0ms	(* 2/3 PI)
10.0ms	(* 2/3 PI)
14.0ms	(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))

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	2001
7	2001
6	1684
5	825
4	527
3	315
2	170
1	111
0	68

prune913.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes427.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	8154×	body	80	nan
1.7s	8000×	body	80	valid