Details

sample75.0ms

Algorithm

intervals

Results

27.0ms	45×	body	1280	valid
13.0ms	33×	body	640	valid
11.0ms	133×	body	80	valid
7.0ms	27×	body	320	valid
3.0ms	18×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

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))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

15.0ms	(- (* x (cos y)) (* z (sin y)))
13.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series189.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* x (cos y)) (* z (sin y)))
40.0ms	(* x (cos y))
48.0ms	(* z (sin y))

simplify2.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	1737
2	480
1	201
0	91

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

20.0ms	(- (* (cos y) x) (* z (sin y)))
14.0ms	(* (cos y) x)
14.0ms	(* z (sin y))

series273.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(- (* (cos y) x) (* z (sin y)))
71.0ms	(* (cos y) x)
72.0ms	(* z (sin y))

simplify2.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	2108
2	566
1	227
0	101

prune349.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series626.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
142.0ms	(cbrt (sin y))
157.0ms	(cbrt (sin y))
149.0ms	(cbrt (sin y))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	1426
2	466
1	179
0	79

prune596.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
0.6b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))
6.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
11.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series599.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (cbrt (sin y)))
139.0ms	(cbrt (cbrt (sin y)))
169.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
151.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify2.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
5	3936
4	1538
3	660
2	266
1	123
0	65

prune489.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	1460×	body	1280	valid
941.0ms	663×	body	320	valid
787.0ms	1209×	body	640	valid
545.0ms	4339×	body	80	valid
71.0ms	329×	body	160	valid