Details

sample98.0ms

Algorithm

intervals

Results

35.0ms	47×	body	1280	valid
16.0ms	35×	body	640	valid
16.0ms	145×	body	80	valid
9.0ms	23×	body	320	valid
2.0ms	6×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

12.0ms	(- (* x (cos y)) (* z (sin y)))
50.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series242.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(- (* x (cos y)) (* z (sin y)))
67.0ms	(* x (cos y))
48.0ms	(* z (sin y))

simplify2.8s

Counts

65 → 65

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	92	527
1	203	495
2	637	460
3	3516	459
done	5000	453

prune227.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite26.0ms

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)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series1.1s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
144.0ms	(cbrt (cos y))
156.0ms	(cbrt (cos y))
530.0ms	(cbrt (cos y))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	637	551
done	5001	537

prune470.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.1b	(* z (sin y))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite86.0ms

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:

68.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
10.0ms	(* z (sin y))
4.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series248.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
48.0ms	(* z (sin y))
18.0ms	(pow (cos y) 2)
126.0ms	(cbrt (cos y))

simplify1.3s

Counts

92 → 92

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	134	813
1	345	717
2	1566	634
done	5000	616

prune508.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (pow (cos y) 2) 3))
0.3b	(pow (pow (cos y) 2) 3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
25×	`cbrt-prod`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`cube-prod`
7×	`add-exp-log` `sqr-pow`
6×	`pow-unpow`
5×	`pow1` `pow-exp` `add-cbrt-cube` `unpow2`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp`
2×	`cube-mult` `pow-pow` `pow1/3` `unpow3`
1×	`rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 103

Calls

4 calls:

5.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
6.0ms	(cbrt (pow (pow (cos y) 2) 3))
7.0ms	(pow (pow (cos y) 2) 3)

series240.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (cos y) 2)
125.0ms	(cbrt (cos y))
23.0ms	(cbrt (pow (pow (cos y) 2) 3))
65.0ms	(pow (pow (cos y) 2) 3)

simplify1.8s

Counts

115 → 115

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	117	1123
1	312	769
2	1616	656
done	5000	635

prune552.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	23	27
done	23	27

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.7s	1446×	body	1280	valid
778.0ms	1231×	body	640	valid
484.0ms	4423×	body	80	valid
297.0ms	589×	body	320	valid
71.0ms	311×	body	160	valid