Details

sample306.0ms

Algorithm

intervals

Results

144.0ms	58×	body	2560	valid
64.0ms	61×	body	1280	valid
28.0ms	43×	body	640	valid
11.0ms	24×	body	320	valid
11.0ms	61×	body	80	valid
3.0ms	9×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	234	25
4	507	25
5	910	25
6	1243	25
7	1453	25
8	1551	25
9	1742	25
10	1778	25
done	1778	25

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.4b

localize62.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
34.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite128.0ms

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:

48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
62.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
7.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series255.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
53.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
66.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
75.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.7s

Counts

74 → 74

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	146	980
1	397	886
2	2675	748
done	5000	746

prune734.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 41.5b

localize39.0ms

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)))
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
35.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite132.0ms

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:

26.0ms	(* (+ (* y 2.0) 1.0) z)
8.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
88.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (+ (* y 2.0) 1.0) z)
85.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
54.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
51.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	126	1149
1	306	1040
2	1868	892
done	5001	886

prune812.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 39.8b

localize15.0ms

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

prune282.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 39.8b

localize28.0ms

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))
35.6b	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

rewrite67.0ms

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:

13.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
47.0ms	(* (+ (* y 2.0) 1.0) (* t z))
4.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

series231.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
64.0ms	(* (+ (* y 2.0) 1.0) (* t z))
58.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

simplify811.0ms

Counts

60 → 60

Iterations

Useful iterations: done (808.0ms)

Iter	Nodes	Cost
0	101	897
1	261	821
2	1084	693
done	5000	691

prune385.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 39.7b

regimes4.4s

Accuracy

0% (4.3b remaining)

Error of 44.0b against oracle of 39.7b and baseline of 44.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	8
1	11	1
done	11	1

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.1s	1824×	body	2560	valid
2.9s	2257×	body	1280	valid
856.0ms	1089×	body	640	valid
606.0ms	604×	body	320	valid
579.0ms	1933×	body	80	valid
141.0ms	44×	body	5120	valid
133.0ms	249×	body	160	valid