Details

sample111.0ms

Algorithm

intervals

Results

51.0ms	256×	body	80	valid
40.0ms	255×	body	80	nan

simplify27.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize34.0ms

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

series176.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
11.0ms	(/ (acos (/ (- g) h)) 3)
122.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify788.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	2000
3	712
2	301
1	160
0	103

prune738.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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:

22.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
0.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
11.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

series623.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
136.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
74.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
318.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))

simplify745.0ms

Counts

258 → 258

Iterations

Iter	Nodes
done	2000
2	1275
1	613
0	302

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize35.0ms

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)))))

rewrite13.0ms

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:

9.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series548.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (acos (/ (- g) h)) 3)
170.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
142.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
218.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify955.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2000
4	1518
3	697
2	318
1	182
0	116

prune476.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize41.0ms

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

rewrite41.0ms

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:

4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
26.0ms	(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series708.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
142.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
143.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
272.0ms	(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	2002
4	1562
3	589
2	276
1	137
0	77

prune514.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes229.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.6s	7900×	body	80	nan