Details

sample176.0ms

Algorithm

intervals

Results

88.0ms	256×	body	80	valid
58.0ms	268×	body	80	nan

simplify35.0ms

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

localize33.0ms

Local error

Found 3 expressions with local error:

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)))

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)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms	(/ (acos (/ (- g) h)) 3)
165.0ms	(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

prune776.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (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)))))

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`
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)
1.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (acos (/ (- g) h)) 3)
178.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
129.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
252.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify2.1s

Counts

79 → 79

Iterations

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

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cos-sum` `fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

29.0ms	(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
157.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
159.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
119.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify3.5s

Counts

88 → 88

Iterations

Iter	Nodes
5	4765
4	1064
3	452
2	264
1	135
0	77

prune985.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

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	(cbrt (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

rewrite14.0ms

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×	`cbrt-prod` `cbrt-div` `pow1/3` `cos-mult`

Counts

4 → 46

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)))
7.0ms	(cbrt (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series691.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
146.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
115.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
302.0ms	(cbrt (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify2.1s

Counts

58 → 58

Iterations

Iter	Nodes
7	3599
6	1300
5	599
4	323
3	194
2	121
1	83
0	57

prune793.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	21
1	21
0	17

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.4s	7807×	body	80	nan
1.7s	8000×	body	80	valid