Details

sample72.0ms

Algorithm

intervals

Results

28.0ms	53×	body	1280	valid
14.0ms	42×	body	640	valid
10.0ms	127×	body	80	valid
6.0ms	25×	body	320	valid
2.0ms	9×	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	(* z (sin y))
0.1b	(* x (cos y))

rewrite79.0ms

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:

15.0ms	(+ (* x (cos y)) (* z (sin y)))
18.0ms	(* z (sin y))
43.0ms	(* x (cos y))

series229.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* x (cos y)) (* z (sin y)))
69.0ms	(* z (sin y))
69.0ms	(* x (cos y))

simplify2.2s

Counts

56 → 56

Iterations

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

prune352.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series670.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
165.0ms	(cbrt (cos y))
126.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune609.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 80

Calls

4 calls:

15.0ms	(* z (sin y))
39.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
16.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series275.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (sin y))
64.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
30.0ms	(* (cos y) (cos y))
129.0ms	(cbrt (cos y))

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2181
1	349
0	134

prune674.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (+ 1/2 (* 1/2 (cos (+ y y)))) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.4b	(+ 1/2 (* 1/2 (cos (+ y y))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log`
11×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
8×	`pow1` `prod-exp`
6×	`cbrt-prod` `cbrt-unprod` `add-log-exp`
4×	`associate-l`
2×	`pow-prod-down` `*-commutative`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `unpow1/3` `pow1/3` `pow-exp` `flip-+` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

8.0ms	(* z (sin y))
45.0ms	(* (* x (pow (+ 1/2 (* 1/2 (cos (+ y y)))) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
6.0ms	(+ 1/2 (* 1/2 (cos (+ y y))))

series494.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* z (sin y))
251.0ms	(* (* x (pow (+ 1/2 (* 1/2 (cos (+ y y)))) 1/3)) (cbrt (cos y)))
142.0ms	(cbrt (cos y))
50.0ms	(+ 1/2 (* 1/2 (cos (+ y y))))

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1499
1	340
0	131

prune565.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	15

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1456×	body	1280	valid
1.2s	1264×	body	640	valid
520.0ms	4318×	body	80	valid
259.0ms	618×	body	320	valid
118.0ms	344×	body	160	valid