Details

sample123.0ms

Algorithm

intervals

Results

50.0ms	298×	body	80	nan
36.0ms	256×	body	80	valid

simplify63.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	14	16
1	21	16
2	25	16
3	29	15
4	32	15
5	33	15
done	33	15

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

1.0ms	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
13.0ms	(/ (acos (/ (- g) h)) 3.0)
18.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series579.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
19.0ms	(/ (acos (/ (- g) h)) 3.0)
502.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	103	842
1	158	818
2	374	740
3	1586	740
done	5001	740

prune278.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
0.0b	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

5.0ms	(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
0.0ms	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
7.0ms	(/ (acos (/ (- g) h)) 3.0)
3.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
56.0ms	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
20.0ms	(/ (acos (/ (- g) h)) 3.0)
183.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	130	1269
1	197	1200
2	439	1082
3	1764	1082
done	5000	1082

prune344.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
1.0b	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `acos-neg` `acos-asin` `cos-sum` `frac-2neg` `distribute-frac-neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 82

Calls

4 calls:

8.0ms	(/ (acos (/ (- g) h)) 3.0)
11.0ms	(/ (acos (/ (- g) h)) 3.0)
5.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
5.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (acos (/ (- g) h)) 3.0)
21.0ms	(/ (acos (/ (- g) h)) 3.0)
145.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
157.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.3s

Counts

94 → 94

Iterations

Useful iterations: 3 (306.0ms)

Iter	Nodes	Cost
0	94	1290
1	148	1254
2	349	1150
3	1443	1146
done	5000	1146

prune849.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	37
1	24	37
done	24	37

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	7878×	body	80	nan
1.2s	8000×	body	80	valid