Details

sample292.0ms

Algorithm

intervals

Results

95.0ms	60×	body	2560	valid
69.0ms	35×	body	640	valid
59.0ms	67×	body	1280	valid
10.0ms	70×	body	80	valid
8.0ms	19×	body	320	valid
8.0ms	2×	body	5120	valid
1.0ms	3×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (9.0ms)

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize35.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (fma a 2.0 1.0) b) t)
3.2b	(* t (* (fma y 2.0 1.0) z))
32.5b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
35.2b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite74.0ms

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:

35.0ms	(* (* (fma a 2.0 1.0) b) t)
21.0ms	(* t (* (fma y 2.0 1.0) z))
4.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
4.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series215.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (fma a 2.0 1.0) b) t)
60.0ms	(* t (* (fma y 2.0 1.0) z))
62.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
46.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify3.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	118	846
1	259	834
2	966	694
3	4795	678
done	5000	678

prune587.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 39.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma y 2.0 1.0) z)
0.1b	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
3.2b	(* t (* (fma y 2.0 1.0) z))
35.2b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite46.0ms

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:

8.0ms	(* (fma y 2.0 1.0) z)
9.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
23.0ms	(* t (* (fma y 2.0 1.0) z))
4.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series235.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (fma y 2.0 1.0) z)
81.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
73.0ms	(* t (* (fma y 2.0 1.0) z))
32.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify3.3s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	114	1008
1	237	992
2	847	836
3	3861	832
done	5000	832

prune452.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 38.2b

localize8.0ms

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

prune138.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 38.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* t (fma y 2.0 1.0))
0.1b	(* x (cos (/ (* (* t (fma y 2.0 1.0)) z) 16.0)))
2.0b	(* (* t (fma y 2.0 1.0)) z)
35.2b	(cos (/ (* (* t (fma y 2.0 1.0)) z) 16.0))

rewrite55.0ms

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`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 71

Calls

4 calls:

18.0ms	(* t (fma y 2.0 1.0))
11.0ms	(* x (cos (/ (* (* t (fma y 2.0 1.0)) z) 16.0)))
18.0ms	(* (* t (fma y 2.0 1.0)) z)
4.0ms	(cos (/ (* (* t (fma y 2.0 1.0)) z) 16.0))

series274.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* t (fma y 2.0 1.0))
94.0ms	(* x (cos (/ (* (* t (fma y 2.0 1.0)) z) 16.0)))
68.0ms	(* (* t (fma y 2.0 1.0)) z)
45.0ms	(cos (/ (* (* t (fma y 2.0 1.0)) z) 16.0))

simplify2.4s

Counts

83 → 83

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	122	1027
1	249	1009
2	773	849
3	3129	849
done	5001	849

prune421.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 37.9b

regimes1.4s

Accuracy

0% (4.5b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 3 (3.0ms)

Iter	Nodes	Cost
0	6	6
1	7	4
2	8	3
3	9	1
done	9	1

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.5s	1789×	body	2560	valid
2.4s	2304×	body	1280	valid
1.0s	1170×	body	640	valid
356.0ms	587×	body	320	valid
322.0ms	1872×	body	80	valid
146.0ms	40×	body	5120	valid
89.0ms	238×	body	160	valid