Details

sample144.0ms

Algorithm

intervals

Results

62.0ms	219×	body	80	nan
57.0ms	256×	body	80	valid

simplify32.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(acos (/ (- g) h))
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)))

rewrite16.0ms

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))
11.0ms	(/ (acos (/ (- g) h)) 3)
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (- g) h))
38.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
15.0ms	(/ (acos (/ (- g) h)) 3)
454.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
4	2173
3	764
2	304
1	163
0	107

prune439.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize29.0ms

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)))

rewrite21.0ms

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:

11.0ms	(/ (acos (/ (- g) h)) 3)
6.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (acos (/ (- g) h)) 3)
162.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
228.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
131.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify4.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5277
6	3876
5	2097
4	1340
3	677
2	319
1	183
0	116

prune434.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cos-sum` `fma-udef`
1×	`log1p-udef` `log1p-expm1`

Counts

4 → 45

Calls

4 calls:

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

series607.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
120.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
131.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
135.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify3.8s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
9	1261
8	448
7	238
6	162
5	128
4	101
3	89
2	79
1	67
0	49

prune492.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `cos-sum` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
154.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
146.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
144.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify4.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
9	1158
8	383
7	207
6	148
5	90
4	75
3	65
2	58
1	48
0	36

prune610.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.0b

regimes297.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.3s	8000×	body	80	valid
1.4s	7901×	body	80	nan