Details

sample99.0ms

Algorithm

intervals

Results

48.0ms	261×	body	80	nan
31.0ms	256×	body	80	valid

simplify27.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

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)))

rewrite8.0ms

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))
5.0ms	(/ (acos (/ (- g) h)) 3)
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
19.0ms	(/ (acos (/ (- g) h)) 3)
117.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.4s

Counts

63 → 63

Iterations

Iter	Nodes
5	4524
4	1582
3	629
2	295
1	158
0	103

prune653.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (acos (/ (- g) h)) 3)
1.0b	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

rewrite9.0ms

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:

5.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series528.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (acos (/ (- g) h)) 3)
172.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
127.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
216.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify2.4s

Counts

79 → 79

Iterations

Iter	Nodes
6	2748
5	1668
4	993
3	548
2	307
1	180
0	116

prune990.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize46.0ms

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))

rewrite39.0ms

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:

5.0ms	(* 2/3 PI)
5.0ms	(* 2/3 PI)
13.0ms	(sin (* 2/3 PI))
15.0ms	(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))

simplify3.4s

Counts

66 → 66

Iterations

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

prune826.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 52

Calls

4 calls:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
23.0ms	(sin (* (* 2/3 (sqrt PI)) (sqrt PI)))
22.0ms	(cos (* 2/3 PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
9	3075
8	946
7	392
6	194
5	117
4	78
3	63
2	57
1	54
0	46

prune809.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes300.0ms

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	30
1	30
0	22

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s	8112×	body	80	nan
1.6s	8000×	body	80	valid