Details

sample308.0ms

Algorithm

intervals

Results

143.0ms	59×	body	2560	valid
81.0ms	71×	body	1280	valid
26.0ms	33×	body	640	valid
11.0ms	69×	body	80	valid
8.0ms	16×	body	320	valid
3.0ms	1×	body	5120	valid
3.0ms	7×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
33.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite123.0ms

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:

61.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series195.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
52.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
44.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.2s

Counts

66 → 66

Iterations

Useful iterations: done (1.2s)

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

prune447.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 39.9b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
33.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

21.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
60.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series192.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
46.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.5s

Counts

54 → 54

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	109	951
1	283	861
2	935	665
3	3468	651
done	5001	651

prune379.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 38.6b

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

prune147.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 38.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
3.6b	(* (+ (* a 2.0) 1.0) (* b t))
33.2b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

40.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
44.0ms	(* (+ (* a 2.0) 1.0) (* b t))
5.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series194.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
59.0ms	(* (+ (* a 2.0) 1.0) (* b t))
49.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify2.1s

Counts

54 → 54

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	105	952
1	277	864
2	900	662
3	3241	654
done	5000	654

prune213.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 38.5b

regimes2.9s

Accuracy

0% (4.3b remaining)

Error of 44.7b against oracle of 40.5b and baseline of 44.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	8	8
1	11	3
done	11	1

end0.0ms

sample10.0s

Algorithm

intervals

Results

3.3s	1884×	body	2560	valid
3.1s	2245×	body	1280	valid
1.6s	1200×	body	640	valid
495.0ms	250×	body	160	valid
362.0ms	1815×	body	80	valid
348.0ms	556×	body	320	valid
207.0ms	50×	body	5120	valid