Details

sample70.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
21.0ms	241×	body	80	nan

simplify77.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

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:

1.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
11.0ms	(/ (acos (/ (- g) h)) 3)
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
24.0ms	(/ (acos (/ (- g) h)) 3)
162.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.9s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
4	2095
3	712
2	301
1	160
0	103

prune412.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize38.0ms

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)))

rewrite30.0ms

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:

9.0ms	(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
1.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
16.0ms	(/ (acos (/ (- g) h)) 3)
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
57.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
21.0ms	(/ (acos (/ (- g) h)) 3)
120.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify3.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	2779
3	779
2	353
1	199
0	131

prune656.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

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)))

rewrite33.0ms

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:

13.0ms	(/ (acos (/ (- g) h)) 3)
6.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
6.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
6.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (acos (/ (- g) h)) 3)
156.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
129.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
128.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify3.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
5	3463
4	1594
3	657
2	275
1	149
0	93

prune955.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cos-sum` `fma-udef`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt (/ (acos (/ (- g) h)) 3))
6.0ms	(cos (fma 2/3 PI (* (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) (cbrt (/ (acos (/ (- g) h)) 3)))))
6.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
6.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (/ (acos (/ (- g) h)) 3))
219.0ms	(cos (fma 2/3 PI (* (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) (cbrt (/ (acos (/ (- g) h)) 3)))))
130.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
136.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
4	1477
3	456
2	237
1	151
0	111

prune876.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes343.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	31
1	31
0	26

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.5s	8005×	body	80	nan
1.3s	8000×	body	80	valid