Details

sample95.0ms

Algorithm

intervals

Results

32.0ms	46×	body	1280	valid
21.0ms	45×	body	640	valid
15.0ms	144×	body	80	valid
5.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite52.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

10.0ms	(- (* x (cos y)) (* z (sin y)))
27.0ms	(* x (cos y))
13.0ms	(* z (sin y))

series229.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* x (cos y)) (* z (sin y)))
70.0ms	(* x (cos y))
62.0ms	(* z (sin y))

simplify1.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	2577
2	566
1	180
0	80

prune354.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:

66.0ms	(* (* (* (cbrt (cos y)) x) (cbrt (cos y))) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series600.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* (* (cbrt (cos y)) x) (cbrt (cos y))) (cbrt (cos y)))
178.0ms	(cbrt (cos y))
191.0ms	(cbrt (cos y))
161.0ms	(cbrt (cos y))

simplify941.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1108
1	185
0	70

prune482.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite26.0ms

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)
19.0ms	(* (cbrt x) (cbrt x))

series1.3s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt x)
317.0ms	(cbrt x)
326.0ms	(cbrt x)
345.0ms	(* (cbrt x) (cbrt x))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	723
1	138
0	61

prune508.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite47.0ms

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:

10.0ms	(* x (cos y))
17.0ms	(* z (sin y))
12.0ms	(pow (* z (sin y)) 3)
6.0ms	(cbrt (pow (* z (sin y)) 3))

series347.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (cos y))
68.0ms	(* z (sin y))
106.0ms	(pow (* z (sin y)) 3)
111.0ms	(cbrt (pow (* z (sin y)) 3))

simplify899.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1202
1	258
0	110

prune604.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes566.0ms

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

sample4.4s

Algorithm

intervals

Results

1.5s	1527×	body	1280	valid
1.2s	1289×	body	640	valid
901.0ms	4233×	body	80	valid
224.0ms	628×	body	320	valid
142.0ms	323×	body	160	valid