Details

sample95.0ms

Algorithm

intervals

Results

37.0ms	52×	body	1280	valid
16.0ms	32×	body	640	valid
15.0ms	145×	body	80	valid
7.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid

simplify11.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:

23.0ms	(- (* x (cos y)) (* z (sin y)))
11.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series213.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- (* x (cos y)) (* z (sin y)))
46.0ms	(* z (sin y))
77.0ms	(* x (cos y))

simplify2.7s

Counts

65 → 65

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	92	527
1	203	495
2	636	460
3	3467	459
done	5001	453

prune289.0ms

Pruning

10 alts after pruning (10 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)))

rewrite38.0ms

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:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
32.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (cos y))
115.0ms	(cbrt (cos y))
109.0ms	(cbrt (cos y))
280.0ms	(* (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

prune455.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

55.0ms	(* x (pow (pow (cos y) 2) 1/3))
86.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series352.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* x (pow (pow (cos y) 2) 1/3))
71.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
141.0ms	(cbrt (cos y))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	141	1143
1	372	954
2	1861	846
done	5001	824

prune550.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))
10.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
5.0ms	(cbrt (pow (cos y) 2))

series647.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (cos y) 2)
173.0ms	(cbrt (cos y))
193.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
262.0ms	(cbrt (pow (cos y) 2))

simplify7.0s

Counts

85 → 85

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	127	751
1	276	658
2	956	590
3	4900	577
done	5000	577

prune463.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes196.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	17	17
done	17	17

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	1475×	body	1280	valid
1.1s	4306×	body	80	valid
654.0ms	1281×	body	640	valid
218.0ms	625×	body	320	valid
64.0ms	313×	body	160	valid