Details

sample82.0ms

Algorithm

intervals

Results

42.0ms	256×	body	80	valid
26.0ms	218×	body	80	nan

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	30
4	30
3	29
2	27
1	21
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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×	`associate-/r` `associate-/l`
2×	`acos-asin` `acos-neg` `div-sub` `distribute-frac-neg` `fma-udef`
1×	`cbrt-undiv` `cos-sum` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(acos (/ (- g) h))
0.0ms	(fma PI 2/3 (/ (acos (/ (- g) h)) 3))
10.0ms	(/ (acos (/ (- g) h)) 3)
5.0ms	(cos (fma PI 2/3 (/ (acos (/ (- g) h)) 3)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (- g) h))
38.0ms	(fma PI 2/3 (/ (acos (/ (- g) h)) 3))
20.0ms	(/ (acos (/ (- g) h)) 3)
155.0ms	(cos (fma PI 2/3 (/ (acos (/ (- g) h)) 3)))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	1318
2	375
1	163
0	108

prune410.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
156×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
144×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
6×	`div-sub`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`acos-asin` `acos-neg` `clear-num` `frac-2neg` `distribute-frac-neg` `fma-udef`
1×	`cos-sum` `associate-/l/`

Counts

4 → 246

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
0.0ms	(fma PI 2/3 (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
16.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
2.0ms	(cos (fma PI 2/3 (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
118.0ms	(fma PI 2/3 (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
88.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
311.0ms	(cos (fma PI 2/3 (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

simplify1.8s

Counts

258 → 258

Iterations

Iter	Nodes
done	5000
2	2426
1	630
0	303

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.0b	(* PI 2/3)
1.0b	(* PI 2/3)
1.0b	(sin (* PI 2/3))
1.6b	(cos (* PI 2/3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

5.0ms	(* PI 2/3)
6.0ms	(* PI 2/3)
12.0ms	(sin (* PI 2/3))
7.0ms	(cos (* PI 2/3))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* PI 2/3)
0.0ms	(* PI 2/3)
0.0ms	(sin (* PI 2/3))
0.0ms	(cos (* PI 2/3))

simplify2.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
4	2159
3	690
2	231
1	111
0	68

prune496.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

1.0b	(* PI 2/3)
1.0b	(sin (* PI 2/3))
1.0b	(sin (* PI 2/3))
1.6b	(cos (* PI 2/3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 51

Calls

4 calls:

5.0ms	(* PI 2/3)
10.0ms	(sin (* PI 2/3))
7.0ms	(sin (* PI 2/3))
7.0ms	(cos (* PI 2/3))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* PI 2/3)
0.0ms	(sin (* PI 2/3))
0.0ms	(sin (* PI 2/3))
0.0ms	(cos (* PI 2/3))

simplify2.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
4	2099
3	699
2	213
1	92
0	55

prune496.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.2s	7733×	body	80	nan
1.9s	8000×	body	80	valid