Details

sample59.0ms

Algorithm

intervals

Results

26.0ms	34×	body	1280	valid
12.0ms	178×	body	80	valid
8.0ms	25×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

14.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (sin y))
90.0ms	(fma (cos y) z (+ x (sin y)))

simplify2.0s

Counts

35 → 35

Iterations

Iter	Nodes
done	5048
4	1774
3	533
2	210
1	103
0	48

prune158.0ms

Pruning

4 alts after pruning (3 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))))

rewrite19.0ms

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:

15.0ms	(* (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))))

series996.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
247.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
259.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
204.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1283
1	371
0	137

prune608.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize78.0ms

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))))

rewrite4.0ms

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:

272.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
231.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
270.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
231.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.3s

Counts

68 → 68

Iterations

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

prune537.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.0b	(fma (cos y) z (+ x (sin y)))
0.0b	(fma (cos y) z (+ x (sin y)))
0.3b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
0.0ms	(fma (cos y) z (+ x (sin y)))
0.0ms	(fma (cos y) z (+ x (sin y)))
14.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
52.0ms	(fma (cos y) z (+ x (sin y)))
53.0ms	(fma (cos y) z (+ x (sin y)))
50.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5009
3	1406
2	405
1	186
0	95

prune535.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes174.0ms

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

sample3.0s

Algorithm

intervals

Results

1.2s	5567×	body	80	valid
856.0ms	992×	body	1280	valid
507.0ms	829×	body	640	valid
132.0ms	403×	body	320	valid
54.0ms	209×	body	160	valid