Details

sample90.0ms

Algorithm

intervals

Results

30.0ms	27×	body	1280	valid
25.0ms	185×	body	80	valid
15.0ms	25×	body	640	valid
7.0ms	14×	body	320	valid
2.0ms	5×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	21
1	13
0	8

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify1.4s

Counts

14 → 14

Iterations

Iter	Nodes
done	5003
4	888
3	174
2	50
1	35
0	23

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite16.0ms

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:

12.0ms	(* (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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
305.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
261.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
311.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1283
1	371
0	137

prune591.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 56

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(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:

211.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
244.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
270.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
296.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5020
3	2729
2	573
1	177
0	71

prune568.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 56

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 (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:

245.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
273.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
274.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
252.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	5020
3	2729
2	573
1	177
0	71

prune522.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	810×	body	640	valid
1.0s	919×	body	1280	valid
888.0ms	5643×	body	80	valid
179.0ms	404×	body	320	valid
70.0ms	224×	body	160	valid