Details

sample180.0ms

Algorithm

intervals

Results

51.0ms	48×	body	2560	valid
50.0ms	49×	body	640	valid
45.0ms	78×	body	1280	valid
5.0ms	66×	body	80	valid
3.0ms	11×	body	320	valid
1.0ms	4×	body	160	valid

simplify2.5s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
3.2b	(* (* (+ (* y 2.0) 1.0) z) t)
32.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite97.0ms

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:

43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series169.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
47.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
40.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify851.0ms

Counts

74 → 74

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	146	980
1	381	886
2	1608	744
done	5000	730

prune383.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 40.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
3.2b	(* (* (+ (* y 2.0) 1.0) z) t)
32.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite81.0ms

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:

25.0ms	(* (+ (* y 2.0) 1.0) z)
10.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series199.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* y 2.0) 1.0) z)
77.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify2.3s

Counts

85 → 85

Iterations

Useful iterations: 2 (158.0ms)

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

prune368.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 38.5b

localize5.0ms

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

prune112.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 38.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.2b	(* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t))))
32.4b	(cos (/ (* (* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
56.0ms	(* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t))))
4.0ms	(cos (/ (* (* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series561.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt t)
167.0ms	(cbrt t)
169.0ms	(* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t))))
58.0ms	(cos (/ (* (* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (979.0ms)

Iter	Nodes	Cost
0	106	847
1	243	824
2	871	608
3	4515	548
done	5001	548

prune241.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 38.3b

regimes2.2s

Accuracy

0% (4.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	11	6
done	11	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	1856×	body	2560	valid
1.2s	2230×	body	1280	valid
421.0ms	1177×	body	640	valid
147.0ms	1866×	body	80	valid
140.0ms	570×	body	320	valid
101.0ms	40×	body	5120	valid
44.0ms	261×	body	160	valid