Details

sample91.0ms

Algorithm

intervals

Results

34.0ms	45×	body	640	valid
24.0ms	46×	body	1280	valid
11.0ms	144×	body	80	valid
4.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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))

rewrite25.0ms

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:

9.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
7.0ms	(* z (sin y))

series194.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (* x (cos y)) (* z (sin y)))
43.0ms	(* x (cos y))
59.0ms	(* z (sin y))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3228
2	684
1	192
0	80

prune371.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt (cos y)) (* (cbrt (cos y)) x)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

60.0ms	(* (* (cbrt (cos y)) (* (cbrt (cos y)) x)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series597.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* (cbrt (cos y)) (* (cbrt (cos y)) x)) (cbrt (cos y)))
191.0ms	(cbrt (cos y))
169.0ms	(cbrt (cos y))
175.0ms	(cbrt (cos y))

simplify913.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1057
1	189
0	71

prune540.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

rewrite17.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(* (cbrt x) (cbrt x))

series1.2s

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt x)
297.0ms	(cbrt x)
316.0ms	(cbrt x)
314.0ms	(* (cbrt x) (cbrt x))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	723
1	138
0	61

prune633.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos y))
0.1b	(* z (sin y))
0.2b	(pow (* z (sin y)) 3)
33.0b	(cbrt (pow (* z (sin y)) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`cbrt-prod`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube`

Counts

4 → 75

Calls

4 calls:

7.0ms	(* x (cos y))
9.0ms	(* z (sin y))
6.0ms	(pow (* z (sin y)) 3)
3.0ms	(cbrt (pow (* z (sin y)) 3))

series318.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* x (cos y))
59.0ms	(* z (sin y))
107.0ms	(pow (* z (sin y)) 3)
106.0ms	(cbrt (pow (* z (sin y)) 3))

simplify942.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1202
1	258
0	110

prune610.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes424.0ms

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	11
1	11
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.3s	1527×	body	1280	valid
1.2s	1289×	body	640	valid
1.0s	4233×	body	80	valid
232.0ms	628×	body	320	valid
123.0ms	323×	body	160	valid