Details

sample61.0ms

Algorithm

intervals

Results

21.0ms	32×	body	1280	valid
18.0ms	188×	body	80	valid
7.0ms	17×	body	640	valid
4.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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:

6.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (sin y))
47.0ms	(fma (cos y) z (+ x (sin y)))

simplify982.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	2000
4	1774
3	533
2	210
1	103
0	48

prune185.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (sin y) (fma z (cos y) x))
0.1b	(fma z (cos y) x)

rewrite7.0ms

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` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+ (sin y) (fma z (cos y) x))
0.0ms	(fma z (cos y) x)

series113.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (sin y) (fma z (cos y) x))
63.0ms	(fma z (cos y) x)

simplify698.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	2000
3	1354
2	309
1	98
0	47

prune204.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))
0.5b	(cbrt (fma z (cos y) x))
0.5b	(cbrt (fma z (cos y) x))
0.5b	(cbrt (fma z (cos y) x))

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:

11.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))
1.0ms	(cbrt (fma z (cos y) x))
1.0ms	(cbrt (fma z (cos y) x))
1.0ms	(cbrt (fma z (cos y) x))

series919.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))
223.0ms	(cbrt (fma z (cos y) x))
222.0ms	(cbrt (fma z (cos y) x))
230.0ms	(cbrt (fma z (cos y) x))

simplify854.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2000
3	1952
2	664
1	248
0	108

prune478.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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 z (cos y) x))
1.0ms	(cbrt (fma z (cos y) x))
5.0ms	(cbrt (* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x))))
2.0ms	(cbrt (cbrt (fma z (cos y) x)))

series907.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (fma z (cos y) x))
229.0ms	(cbrt (fma z (cos y) x))
227.0ms	(cbrt (* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x))))
231.0ms	(cbrt (cbrt (fma z (cos y) x)))

simplify515.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	2002
2	713
1	256
0	123

prune417.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.2s

Algorithm

intervals

Results

902.0ms	1015×	body	1280	valid
876.0ms	5596×	body	80	valid
547.0ms	753×	body	640	valid
400.0ms	194×	body	160	valid
232.0ms	442×	body	320	valid