Details

sample257.0ms

Algorithm

intervals

Results

122.0ms	60×	body	2560	valid
54.0ms	67×	body	1280	valid
24.0ms	35×	body	640	valid
9.0ms	70×	body	80	valid
7.0ms	19×	body	320	valid
7.0ms	2×	body	5120	valid
1.0ms	3×	body	160	valid

simplify2.8s

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: 44.3b

localize27.0ms

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))

rewrite137.0ms

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:

54.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
65.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
12.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
52.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
46.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
43.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.0s

Counts

66 → 66

Iterations

Useful iterations: done (1.0s)

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

prune539.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 39.7b

localize35.0ms

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))

rewrite89.0ms

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×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

27.0ms	(* (+ (* y 2.0) 1.0) z)
8.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
47.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series254.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (* y 2.0) 1.0) z)
106.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
54.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
49.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify3.1s

Counts

77 → 77

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	118	1057
1	281	1046
2	1065	870
3	4303	870
done	5000	870

prune391.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 38.2b

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

prune132.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 38.2b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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-r*`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`add-log-exp`
2×	`associate-r/` `-commutative`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 47

Calls

3 calls:

14.0ms	(* x (cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)))
39.0ms	(* (* z t) (+ (* y 2.0) 1.0))
5.0ms	(cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0))

series206.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* x (cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)))
78.0ms	(* (* z t) (+ (* y 2.0) 1.0))
41.0ms	(cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0))

simplify1.8s

Counts

56 → 56

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	101	852
1	276	836
2	1122	708
done	5000	702

prune230.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 37.9b

regimes2.5s

Accuracy

0% (4.6b remaining)

Error of 44.4b against oracle of 39.9b and baseline of 44.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

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

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.3s	1789×	body	2560	valid
3.3s	2304×	body	1280	valid
843.0ms	1170×	body	640	valid
694.0ms	1872×	body	80	valid
306.0ms	587×	body	320	valid
119.0ms	40×	body	5120	valid
68.0ms	238×	body	160	valid