Details

sample94.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
29.0ms	250×	body	80	nan

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

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

localize30.0ms

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)))

rewrite21.0ms

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))
12.0ms	(/ (acos (/ (- g) h)) 3.0)
5.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
29.0ms	(/ (acos (/ (- g) h)) 3.0)
192.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: 2 (109.0ms)

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

prune329.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (acos (/ (- g) h)) (sqrt 3.0))
1.0b	(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b	(/ 1 (sqrt 3.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
94×	`times-frac`
66×	`*-un-lft-identity`
60×	`add-cube-cbrt`
53×	`sqrt-prod`
32×	`add-exp-log`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`associate-/r*`
11×	`div-exp`
8×	`pow1` `prod-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `div-sub` `clear-num`
1×	`acos-neg` `acos-asin` `frac-times` `cos-sum` `sqrt-pow1` `pow1/2` `associate-r/` `distribute-frac-neg` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 185

Calls

4 calls:

20.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
5.0ms	(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
80.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
15.0ms	(/ 1 (sqrt 3.0))

series532.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
354.0ms	(cos (fma (/ 2.0 3.0) PI (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
118.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
0.0ms	(/ 1 (sqrt 3.0))

simplify2.8s

Counts

195 → 195

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	220	3077
1	548	2810
2	3574	2446
done	5001	2352

prune850.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 2.0 3.0) PI)
1.0b	(* (/ 2.0 3.0) PI)
1.0b	(sin (* (/ 2.0 3.0) PI))
1.6b	(cos (* (/ 2.0 3.0) PI))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 86

Calls

4 calls:

29.0ms	(* (/ 2.0 3.0) PI)
18.0ms	(* (/ 2.0 3.0) PI)
8.0ms	(sin (* (/ 2.0 3.0) PI))
7.0ms	(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (/ 2.0 3.0) PI)
0.0ms	(* (/ 2.0 3.0) PI)
0.0ms	(sin (* (/ 2.0 3.0) PI))
0.0ms	(cos (* (/ 2.0 3.0) PI))

simplify651.0ms

Counts

90 → 90

Iterations

Useful iterations: done (647.0ms)

Iter	Nodes	Cost
0	101	848
1	201	838
2	848	730
done	5001	726

prune654.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 2.0 3.0) PI)
1.0b	(expm1 (sin (* (/ 2.0 3.0) PI)))
1.0b	(sin (* (/ 2.0 3.0) PI))
1.6b	(cos (* (/ 2.0 3.0) PI))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `expm1-udef`

Counts

4 → 63

Calls

4 calls:

22.0ms	(* (/ 2.0 3.0) PI)
0.0ms	(expm1 (sin (* (/ 2.0 3.0) PI)))
7.0ms	(sin (* (/ 2.0 3.0) PI))
8.0ms	(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (/ 2.0 3.0) PI)
0.0ms	(expm1 (sin (* (/ 2.0 3.0) PI)))
0.0ms	(sin (* (/ 2.0 3.0) PI))
0.0ms	(cos (* (/ 2.0 3.0) PI))

simplify555.0ms

Counts

67 → 67

Iterations

Useful iterations: done (553.0ms)

Iter	Nodes	Cost
0	97	557
1	191	550
2	804	484
done	5001	480

prune724.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	43
1	29	43
done	29	43

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
877.0ms	7938×	body	80	nan