Details

sample136.0ms

Algorithm

intervals

Results

68.0ms	256×	body	80	valid
47.0ms	244×	body	80	nan

simplify25.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize40.0ms

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)))

rewrite26.0ms

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))
20.0ms	(/ (acos (/ (- g) h)) 3)
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms	(/ (acos (/ (- g) h)) 3)
112.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.5s

Counts

63 → 63

Iterations

Iter	Nodes
5	3840
4	1505
3	640
2	296
1	160
0	103

prune713.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h)))))
0.0b	(/ 3 (acos (/ (- g) h)))
0.9b	(/ 1 (/ 3 (acos (/ (- g) h))))
1.0b	(cos (fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`cos-sum` `associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

0.0ms	(fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h)))))
7.0ms	(/ 3 (acos (/ (- g) h)))
12.0ms	(/ 1 (/ 3 (acos (/ (- g) h))))
5.0ms	(cos (fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h))))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h)))))
8.0ms	(/ 3 (acos (/ (- g) h)))
12.0ms	(/ 1 (/ 3 (acos (/ (- g) h))))
135.0ms	(cos (fma 2/3 PI (/ 1 (/ 3 (acos (/ (- g) h))))))

simplify949.0ms

Counts

143 → 143

Iterations

Iter	Nodes
3	2044
2	915
1	398
0	196

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
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)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
54.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
19.0ms	(/ (acos (/ (- g) h)) 3)
162.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.4s

Counts

85 → 85

Iterations

Iter	Nodes
5	4765
4	1689
3	696
2	348
1	199
0	131

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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)))

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

Counts

4 → 65

Calls

4 calls:

5.0ms	(/ (acos (/ (- g) h)) 3)
7.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (acos (/ (- g) h)) 3)
142.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
148.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
110.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify3.0s

Counts

77 → 77

Iterations

Iter	Nodes
6	2606
5	1530
4	925
3	501
2	270
1	149
0	93

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	23
1	23
0	19

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	8028×	body	80	nan
1.6s	8000×	body	80	valid