Details

sample66.0ms

Algorithm

intervals

Results

23.0ms	47×	body	1280	valid
13.0ms	40×	body	640	valid
9.0ms	138×	body	80	valid
5.0ms	24×	body	320	valid
2.0ms	7×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
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)))
9.0ms	(* z (cos y))

series180.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(fma x (sin y) (* z (cos y)))
41.0ms	(* z (cos y))

simplify2.0s

Counts

36 → 36

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	50	271
1	91	266
2	240	235
3	893	233
4	2775	233
done	5000	233

prune157.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite44.0ms

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:

17.0ms	(+ (* x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))
16.0ms	(* x (sin y))

series252.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ (* x (sin y)) (* z (cos y)))
57.0ms	(* z (cos y))
56.0ms	(* x (sin y))

simplify3.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	88	498
1	208	453
2	716	420
3	4051	420
done	5000	420

prune247.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

7.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (cos y))
166.0ms	(cbrt (cos y))
135.0ms	(cbrt (cos y))
219.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	643	551
done	5001	537

prune496.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(* (expm1 (log1p (cbrt (cos y)))) (cbrt (cos y)))
0.4b	(log1p (cbrt (cos y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
18.0ms	(* (expm1 (log1p (cbrt (cos y)))) (cbrt (cos y)))
1.0ms	(log1p (cbrt (cos y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (cos y))
181.0ms	(cbrt (cos y))
755.0ms	(* (expm1 (log1p (cbrt (cos y)))) (cbrt (cos y)))
227.0ms	(log1p (cbrt (cos y)))

simplify1.0s

Counts

73 → 73

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	84	603
1	170	522
2	776	415
done	5001	399

prune308.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	19
1	15	19
done	15	19

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	1532×	body	1280	valid
1.1s	4292×	body	80	valid
717.0ms	1262×	body	640	valid
364.0ms	582×	body	320	valid
121.0ms	332×	body	160	valid