Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	53×	body	1280	valid
16.0ms	49×	body	640	valid
7.0ms	129×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.2b	(* z (sin y))
0.2b	(* x (cos y))

rewrite12.0ms

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:

3.0ms	(- (* x (cos y)) (* z (sin y)))
3.0ms	(* z (sin y))
3.0ms	(* x (cos y))

series162.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* x (cos y)) (* z (sin y)))
45.0ms	(* z (sin y))
40.0ms	(* x (cos y))

simplify1.7s

Counts

65 → 65

Iterations

Useful iterations: 4 (630.0ms)

Iter	Nodes	Cost
0	92	527
1	189	495
2	435	459
3	1042	459
4	2240	453
done	5000	453

prune193.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite14.0ms

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:

9.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series500.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
108.0ms	(cbrt (cos y))
109.0ms	(cbrt (cos y))
110.0ms	(cbrt (cos y))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	363	551
3	1342	529
done	5000	523

prune305.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

4.0ms	(* z (sin y))
20.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series210.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (sin y))
39.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
109.0ms	(cbrt (cos y))

simplify2.6s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	134	813
1	301	708
2	916	639
3	3709	573
done	5001	573

prune313.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (log1p (expm1 (cbrt (cos y)))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
11×	`prod-exp` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
5×	`pow-exp` `cbrt-unprod` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `unpow-prod-down` `pow-unpow` `associate-r`
1×	`expm1-log1p` `pow-pow` `unpow1/3` `pow1/3` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

16.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log1p (expm1 (cbrt (cos y)))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
0.0ms	(expm1 (cbrt (cos y)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log1p (expm1 (cbrt (cos y)))))
18.0ms	(pow (cos y) 2)
107.0ms	(cbrt (cos y))
212.0ms	(expm1 (cbrt (cos y)))

simplify2.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	126	822
1	291	648
2	932	574
3	4115	520
done	5001	520

prune279.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

633.0ms	1503×	body	1280	valid
331.0ms	1294×	body	640	valid
250.0ms	4278×	body	80	valid
110.0ms	607×	body	320	valid
45.0ms	318×	body	160	valid