Details

sample104.0ms

Algorithm

intervals

Results

41.0ms	57×	body	1280	valid
20.0ms	42×	body	640	valid
14.0ms	132×	body	80	valid
5.0ms	16×	body	320	valid
2.0ms	9×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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))

rewrite95.0ms

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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 47

Calls

3 calls:

20.0ms	(+ (* x (cos y)) (* z (sin y)))
58.0ms	(* z (sin y))
15.0ms	(* x (cos y))

series259.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ (* x (cos y)) (* z (sin y)))
70.0ms	(* z (sin y))
76.0ms	(* x (cos y))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3242
2	684
1	192
0	80

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt z) (cbrt z))
279.0ms	(cbrt z)
324.0ms	(cbrt z)
304.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune474.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite14.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

10.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (cbrt x) (cbrt x))
284.0ms	(cbrt x)
752.0ms	(cbrt x)
277.0ms	(cbrt x)

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune570.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (cos y)) (* z (sin y)))) (cbrt (+ (* x (cos y)) (* z (sin y)))))
0.6b	(cbrt (+ (* x (cos y)) (* z (sin y))))
0.6b	(cbrt (+ (* x (cos y)) (* z (sin y))))
0.6b	(cbrt (+ (* x (cos y)) (* z (sin y))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

55.0ms	(* (cbrt (+ (* x (cos y)) (* z (sin y)))) (cbrt (+ (* x (cos y)) (* z (sin y)))))
9.0ms	(cbrt (+ (* x (cos y)) (* z (sin y))))
8.0ms	(cbrt (+ (* x (cos y)) (* z (sin y))))
10.0ms	(cbrt (+ (* x (cos y)) (* z (sin y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

492.0ms	(* (cbrt (+ (* x (cos y)) (* z (sin y)))) (cbrt (+ (* x (cos y)) (* z (sin y)))))
382.0ms	(cbrt (+ (* x (cos y)) (* z (sin y))))
431.0ms	(cbrt (+ (* x (cos y)) (* z (sin y))))
368.0ms	(cbrt (+ (* x (cos y)) (* z (sin y))))

simplify840.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1340
1	380
0	146

prune716.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes499.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.9s	1505×	body	1280	valid
718.0ms	4260×	body	80	valid
681.0ms	1303×	body	640	valid
247.0ms	624×	body	320	valid
133.0ms	308×	body	160	valid