Details

sample109.0ms

Algorithm

intervals

Results

38.0ms	45×	body	1280	valid
19.0ms	33×	body	640	valid
16.0ms	133×	body	80	valid
11.0ms	27×	body	320	valid
5.0ms	18×	body	160	valid

simplify10.0ms

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

localize46.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

12.0ms	(* x (cos y))
1.0ms	(fma (sin y) z (* x (cos y)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* x (cos y))
113.0ms	(fma (sin y) z (* x (cos y)))

simplify3.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	1819
3	558
2	191
1	90
0	50

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (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:

22.0ms	(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
247.0ms	(cbrt (fma (sin y) z (* x (cos y))))
235.0ms	(cbrt (fma (sin y) z (* x (cos y))))
608.0ms	(cbrt (fma (sin y) z (* x (cos y))))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	2308
2	666
1	236
0	102

prune655.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (cos 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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (fma (sin y) z (* x (cos y))))
257.0ms	(cbrt (fma (sin y) z (* x (cos y))))
243.0ms	(cbrt (fma (sin y) z (* x (cos y))))
265.0ms	(cbrt (fma (sin y) z (* x (cos y))))

simplify3.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5011
4	3351
3	847
2	249
1	102
0	51

prune683.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (cos y))))
0.7b	(cbrt (fma (sin y) z (* x (cos y))))

rewrite9.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt (fma (sin y) z (* x (cos y))))
281.0ms	(cbrt (fma (sin y) z (* x (cos y))))
241.0ms	(cbrt (fma (sin y) z (* x (cos y))))
247.0ms	(cbrt (fma (sin y) z (* x (cos y))))

simplify2.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5011
4	3351
3	847
2	249
1	102
0	51

prune517.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes317.0ms

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

sample3.9s

Algorithm

intervals

Results

1.7s	1460×	body	1280	valid
823.0ms	1209×	body	640	valid
719.0ms	4339×	body	80	valid
275.0ms	663×	body	320	valid
77.0ms	329×	body	160	valid