Details

sample90.0ms

Algorithm

intervals

Results

34.0ms	27×	body	1280	valid
22.0ms	185×	body	80	valid
15.0ms	25×	body	640	valid
6.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`insert-posit16`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

50.0ms	(+ (+ x (sin y)) (* z (cos y)))
12.0ms	(* z (cos y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (+ x (sin y)) (* z (cos y)))
46.0ms	(* z (cos y))

simplify1.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	2350
2	551
1	162
0	65

prune151.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite12.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series824.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt z) (cbrt z))
188.0ms	(cbrt z)
188.0ms	(cbrt z)
194.0ms	(cbrt z)

simplify2.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune338.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series874.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt z)
226.0ms	(cbrt z)
218.0ms	(cbrt z)
215.0ms	(cbrt z)

simplify2.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
5	1363
4	446
3	184
2	95
1	45
0	25

prune415.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

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` `insert-posit16` `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 → 91

Calls

4 calls:

148.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
17.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
14.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
14.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

series959.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
254.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
247.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
226.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

simplify2.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	4052
2	1142
1	385
0	149

prune624.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	919×	body	1280	valid
881.0ms	5643×	body	80	valid
630.0ms	810×	body	640	valid
190.0ms	404×	body	320	valid
65.0ms	224×	body	160	valid