Details

sample127.0ms

Algorithm

intervals

Results

38.0ms	34×	body	1280	valid
36.0ms	27×	body	640	valid
28.0ms	176×	body	80	valid
6.0ms	11×	body	320	valid
3.0ms	8×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
3	27
2	21
1	13
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (cos y) z (+ x (sin y)))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma (cos y) z (+ x (sin y)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma (cos y) z (+ x (sin y)))

simplify1.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	5018
4	799
3	145
2	56
1	35
0	23

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`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`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
226.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
263.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
269.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1359
1	371
0	137

prune693.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
4.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
267.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
266.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
260.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

simplify1.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
2	1721
1	426
0	164

prune505.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
7.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

series949.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
215.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
226.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
234.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

simplify2.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
2	1721
1	426
0	164

prune639.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s	957×	body	1280	valid
842.0ms	5633×	body	80	valid
606.0ms	790×	body	640	valid
198.0ms	398×	body	320	valid
67.0ms	222×	body	160	valid