Details

sample318.0ms

Algorithm

intervals

Results

119.0ms	74×	body	1280	valid
108.0ms	53×	body	2560	valid
24.0ms	35×	body	640	valid
11.0ms	23×	body	320	valid
9.0ms	59×	body	80	valid
4.0ms	12×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	98	27
3	221	27
4	391	27
5	608	27
6	826	27
7	982	27
8	1072	27
9	1216	27
10	1228	27
done	1228	27

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.7b

localize29.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
34.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite157.0ms

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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

74.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
71.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series201.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
62.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
50.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.3s

Counts

66 → 66

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	888
1	365	878
2	1549	714
done	5000	706

prune522.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 41.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
34.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

31.0ms	(* (+ (* a 2.0) 1.0) b)
30.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
66.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series279.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ (* a 2.0) 1.0) b)
96.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
63.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
56.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	127	1134
1	299	1070
2	1004	880
3	3456	866
done	5000	866

prune430.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.0b

localize9.0ms

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

prune181.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3))
0.5b	(pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3)
2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
34.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`associate-*l/` `add-log-exp`
3×	`pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-l` `pow-exp` `*-commutative` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 71

Calls

4 calls:

3.0ms	(cbrt (pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3))
3.0ms	(pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3)
50.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series247.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3))
89.0ms	(pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3)
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
47.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.6s

Counts

83 → 83

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	1555
1	280	1365
2	989	1172
done	5000	1158

prune270.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 40.0b

regimes2.6s

Accuracy

0% (4.2b remaining)

Error of 44.3b against oracle of 40.1b and baseline of 44.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

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

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.9s	1851×	body	2560	valid
2.4s	2229×	body	1280	valid
739.0ms	1184×	body	640	valid
316.0ms	594×	body	320	valid
315.0ms	1890×	body	80	valid
63.0ms	24×	body	5120	valid
55.0ms	228×	body	160	valid