Details

sample72.0ms

Algorithm

intervals

Results

24.0ms	48×	body	1280	valid
16.0ms	50×	body	640	valid
12.0ms	127×	body	80	valid
5.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

23.0ms	(+ (* x (sin y)) (* z (cos y)))
43.0ms	(* z (cos y))
14.0ms	(* x (sin y))

series212.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ (* x (sin y)) (* z (cos y)))
46.0ms	(* z (cos y))
42.0ms	(* x (sin y))

simplify3.2s

Counts

63 → 63

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	88	498
1	198	453
2	506	420
3	1314	420
4	3746	420
done	5000	420

prune250.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series661.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
142.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))
132.0ms	(cbrt (cos y))

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune440.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.1b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

10.0ms	(* x (sin y))
59.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series282.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* x (sin y))
52.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
159.0ms	(cbrt (cos y))

simplify4.0s

Counts

92 → 92

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	133	813
1	297	708
2	865	632
3	3387	571
done	5000	562

prune374.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(log1p (cbrt (cos y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `expm1-log1p-u`
4×	`add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `pow-exp` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

0.0ms	(expm1 (log1p (cbrt (cos y))))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))
1.0ms	(log1p (cbrt (cos y)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(expm1 (log1p (cbrt (cos y))))
26.0ms	(pow (cos y) 2)
132.0ms	(cbrt (cos y))
234.0ms	(log1p (cbrt (cos y)))

simplify5.0s

Counts

67 → 67

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	85	437
1	148	373
2	294	336
3	768	329
4	4684	324
done	5000	324

prune371.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	20	19
done	20	19

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s	1495×	body	1280	valid
665.0ms	1228×	body	640	valid
512.0ms	4312×	body	80	valid
313.0ms	654×	body	320	valid
161.0ms	311×	body	160	valid