Details

sample101.0ms

Algorithm

intervals

Results

34.0ms	53×	body	1280	valid
32.0ms	43×	body	640	valid
11.0ms	127×	body	80	valid
7.0ms	23×	body	320	valid
2.0ms	10×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (cos y) z (* x (sin y)))
0.1b	(* x (sin 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` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

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

series198.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(fma (cos y) z (* x (sin y)))
72.0ms	(* x (sin y))

simplify2.9s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4604
3	1246
2	320
1	107
0	56

prune284.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (sin y) (* z (cos y)))
19.0ms	(* z (cos y))

series154.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(fma x (sin y) (* z (cos y)))
47.0ms	(* z (cos y))

simplify3.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	3470
3	1008
2	259
1	90
0	49

prune299.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

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))

rewrite29.0ms

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` `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 → 81

Calls

4 calls:

20.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series675.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
129.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))
185.0ms	(cbrt (cos y))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune750.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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` `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 → 95

Calls

4 calls:

26.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
44.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
16.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series375.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
61.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
28.0ms	(* (cos y) (cos y))
120.0ms	(cbrt (cos y))

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	2401
1	349
0	135

prune757.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes295.0ms

Accuracy

0% (0.1b 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

sample4.2s

Algorithm

intervals

Results

1.6s	1460×	body	1280	valid
1.3s	1258×	body	640	valid
652.0ms	4320×	body	80	valid
239.0ms	620×	body	320	valid
75.0ms	342×	body	160	valid