Details

sample170.0ms

Algorithm

intervals

Results

69.0ms	60×	body	2560	valid
54.0ms	79×	body	1280	valid
13.0ms	30×	body	640	valid
6.0ms	67×	body	80	valid
3.0ms	11×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	8×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	100	25
3	211	25
4	385	25
5	608	25
6	850	25
7	1114	25
8	1224	25
9	1298	25
10	1326	25
done	1326	25

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize24.0ms

Local error

Found 4 expressions with local error:

1.9b	(* t (* (fma y 2.0 1.0) z))
3.9b	(* (* (fma a 2.0 1.0) b) t)
33.9b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
35.1b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 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)
2.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
2.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* t (* (fma y 2.0 1.0) z))
40.0ms	(* (* (fma a 2.0 1.0) b) t)
25.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
38.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 3 (678.0ms)

Iter	Nodes	Cost
0	118	846
1	261	834
2	963	694
3	4147	678
done	5000	678

prune381.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 40.2b

localize15.0ms

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)))
1.9b	(* t (* (fma y 2.0 1.0) z))
33.9b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite17.0ms

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

series179.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (fma y 2.0 1.0) z)
67.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
45.0ms	(* t (* (fma y 2.0 1.0) z))
25.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.1s

Counts

81 → 81

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	114	1008
1	239	992
2	824	832
3	3700	832
done	5001	832

prune396.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 38.6b

localize2.0ms

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

prune135.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 38.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (cos (/ (* (fma y 2.0 1.0) (* t z)) 16.0)))
1.2b	(* (fma y 2.0 1.0) (* t z))
33.9b	(cos (/ (* (fma y 2.0 1.0) (* t z)) 16.0))

rewrite12.0ms

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

series150.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* x (cos (/ (* (fma y 2.0 1.0) (* t z)) 16.0)))
48.0ms	(* (fma y 2.0 1.0) (* t z))
35.0ms	(cos (/ (* (fma y 2.0 1.0) (* t z)) 16.0))

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	95	804
1	207	794
2	657	664
3	2224	664
done	5001	664

prune178.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 38.5b

regimes1.1s

Accuracy

0% (4.3b remaining)

Error of 44.2b against oracle of 39.8b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	6	1
done	6	1

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.1s	1857×	body	2560	valid
1.4s	2246×	body	1280	valid
479.0ms	1139×	body	640	valid
180.0ms	1919×	body	80	valid
171.0ms	580×	body	320	valid
99.0ms	38×	body	5120	valid
44.0ms	221×	body	160	valid