Details

sample294.0ms

Algorithm

intervals

Results

140.0ms	60×	body	2560	valid
67.0ms	67×	body	1280	valid
23.0ms	35×	body	640	valid
11.0ms	70×	body	80	valid
10.0ms	19×	body	320	valid
10.0ms	2×	body	5120	valid
1.0ms	3×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	232	25
4	436	25
5	728	25
6	1012	25
7	1194	25
8	1292	25
9	1475	25
10	1511	25
done	1511	25

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize52.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
3.2b	(* (* (+ (* y 2.0) 1.0) z) t)
32.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

53.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
67.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
9.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series272.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
78.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
69.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
73.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	146	980
1	382	886
2	1614	738
done	5001	730

prune566.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 39.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
3.2b	(* (* (+ (* y 2.0) 1.0) z) t)
35.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

36.0ms	(* (+ (* y 2.0) 1.0) z)
15.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
59.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
7.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series249.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* y 2.0) 1.0) z)
106.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify3.1s

Counts

85 → 85

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	126	1149
1	292	1040
2	1093	880
3	4481	880
done	5000	880

prune495.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 38.1b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune189.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 38.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
2.4b	(* (+ (* y 2.0) 1.0) (* t z))
35.2b	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

9.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
61.0ms	(* (+ (* y 2.0) 1.0) (* t z))
15.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

series183.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
48.0ms	(* (+ (* y 2.0) 1.0) (* t z))
45.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

simplify2.1s

Counts

60 → 60

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	101	897
1	253	821
2	864	691
3	3188	691
done	5000	691

prune282.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 38.1b

regimes2.8s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	4	5
1	7	1
done	7	1

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.4s	1789×	body	2560	valid
2.8s	2304×	body	1280	valid
983.0ms	1170×	body	640	valid
652.0ms	1872×	body	80	valid
266.0ms	587×	body	320	valid
117.0ms	40×	body	5120	valid
59.0ms	238×	body	160	valid