Details

sample162.0ms

Algorithm

intervals

Results

63.0ms	56×	body	2560	valid
48.0ms	81×	body	1280	valid
13.0ms	35×	body	640	valid
7.0ms	11×	body	320	valid
5.0ms	59×	body	80	valid
3.0ms	14×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	100	25
3	212	25
4	394	25
5	630	25
6	898	25
7	1159	25
8	1269	25
9	1343	25
10	1371	25
done	1371	25

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.3b

localize28.0ms

Local error

Found 4 expressions with local error:

2.5b	(* t (* (fma y 2.0 1.0) z))
3.3b	(* (* (fma a 2.0 1.0) b) t)
35.0b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
35.7b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* t (* (fma y 2.0 1.0) z))
7.0ms	(* (* (fma a 2.0 1.0) b) t)
1.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
2.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* t (* (fma y 2.0 1.0) z))
47.0ms	(* (* (fma a 2.0 1.0) b) t)
39.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
29.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (427.0ms)

Iter	Nodes	Cost
0	118	846
1	263	834
2	1007	694
3	4580	678
done	5000	678

prune371.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma y 2.0 1.0) z)
0.2b	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
2.5b	(* t (* (fma y 2.0 1.0) z))
35.7b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

3.0ms	(* (fma y 2.0 1.0) z)
3.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
6.0ms	(* t (* (fma y 2.0 1.0) z))
1.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (fma y 2.0 1.0) z)
71.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
50.0ms	(* t (* (fma y 2.0 1.0) z))
28.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.2s

Counts

81 → 81

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	114	1008
1	243	992
2	886	832
3	3908	832
done	5000	832

prune423.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 40.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune138.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 40.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (cos (/ (pow (* (fma y 2.0 1.0) (* t z)) 1) 16.0)))
2.0b	(* (fma y 2.0 1.0) (* t z))
35.7b	(cos (/ (pow (* (fma y 2.0 1.0) (* t z)) 1) 16.0))

rewrite13.0ms

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×	`*-commutative`
1×	`unswap-sqr`

Counts

3 → 49

Calls

3 calls:

3.0ms	(* x (cos (/ (pow (* (fma y 2.0 1.0) (* t z)) 1) 16.0)))
6.0ms	(* (fma y 2.0 1.0) (* t z))
3.0ms	(cos (/ (pow (* (fma y 2.0 1.0) (* t z)) 1) 16.0))

series150.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* x (cos (/ (pow (* (fma y 2.0 1.0) (* t z)) 1) 16.0)))
47.0ms	(* (fma y 2.0 1.0) (* t z))
36.0ms	(cos (/ (pow (* (fma y 2.0 1.0) (* t z)) 1) 16.0))

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	96	878
1	213	794
2	755	664
3	2816	664
done	5000	664

prune197.0ms

Pruning

35 alts after pruning (33 fresh and 2 done)

Merged error: 39.9b

regimes1.1s

Accuracy

0% (4.3b remaining)

Error of 44.2b against oracle of 39.9b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	7	6
done	7	6

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1850×	body	2560	valid
1.4s	2321×	body	1280	valid
437.0ms	1129×	body	640	valid
157.0ms	1885×	body	80	valid
133.0ms	503×	body	320	valid
117.0ms	47×	body	5120	valid
48.0ms	265×	body	160	valid