Details

sample140.0ms

Algorithm

intervals

Results

69.0ms	55×	body	1280	valid
24.0ms	141×	body	80	valid
21.0ms	32×	body	640	valid
11.0ms	23×	body	320	valid
1.0ms	5×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (sin y) z (* x (cos y)))
8.0ms	(* x (cos y))

series145.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(fma (sin y) z (* x (cos y)))
48.0ms	(* x (cos y))

simplify1.1s

Counts

38 → 38

Iterations

Iter	Nodes
done	2000
4	1829
3	567
2	199
1	91
0	52

prune219.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (cos y) x (* z (sin y)))
15.0ms	(* z (sin y))

series185.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(fma (cos y) x (* z (sin y)))
73.0ms	(* z (sin y))

simplify567.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	2003
3	817
2	283
1	111
0	58

prune161.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite15.0ms

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:

10.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series559.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
121.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))

simplify783.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2024
3	1176
2	391
1	152
0	70

prune507.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (* (cos y) (cos y)) 1/3))
0.1b	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 99

Calls

4 calls:

26.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
79.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
20.0ms	(* (cos y) (cos y))
3.0ms	(cbrt (cos y))

series339.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
50.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
18.0ms	(* (cos y) (cos y))
151.0ms	(cbrt (cos y))

simplify666.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2001
2	964
1	346
0	139

prune544.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.6s	1558×	body	1280	valid
1.5s	1184×	body	640	valid
808.0ms	4316×	body	80	valid
349.0ms	646×	body	320	valid
105.0ms	296×	body	160	valid