Details

sample292.0ms

Algorithm

intervals

Results

108.0ms	67×	body	2560	valid
94.0ms	67×	body	1280	valid
28.0ms	62×	body	80	valid
21.0ms	35×	body	640	valid
6.0ms	16×	body	320	valid
6.0ms	1×	body	5120	valid
2.0ms	8×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.7b

localize58.0ms

Local error

Found 4 expressions with local error:

2.2b	(* t (* (fma y 2.0 1.0) z))
3.9b	(* (* (fma a 2.0 1.0) b) t)
34.8b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
37.1b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite58.0ms

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:

16.0ms	(* t (* (fma y 2.0 1.0) z))
32.0ms	(* (* (fma a 2.0 1.0) b) t)
4.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
4.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* t (* (fma y 2.0 1.0) z))
52.0ms	(* (* (fma a 2.0 1.0) b) t)
42.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
52.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	118	846
1	259	834
2	965	694
3	4777	678
done	5000	678

prune500.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.9b

localize19.0ms

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)))
2.2b	(* t (* (fma y 2.0 1.0) z))
34.8b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite62.0ms

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:

11.0ms	(* (fma y 2.0 1.0) z)
22.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
24.0ms	(* t (* (fma y 2.0 1.0) z))
4.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series257.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (fma y 2.0 1.0) z)
101.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
69.0ms	(* t (* (fma y 2.0 1.0) z))
37.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.4s)

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

prune510.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 40.2b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune164.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 40.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
2.2b	(* (fma y 2.0 1.0) (* t z))
34.8b	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

rewrite29.0ms

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:

8.0ms	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
16.0ms	(* (fma y 2.0 1.0) (* t z))
4.0ms	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

series193.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
47.0ms	(* (fma y 2.0 1.0) (* t z))
49.0ms	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

simplify2.8s

Counts

58 → 58

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	96	878
1	208	794
2	705	664
3	2929	664
done	5000	664

prune235.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 40.1b

regimes1.3s

Accuracy

0% (4.4b remaining)

Error of 44.0b against oracle of 39.6b and baseline of 44.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	8	8
1	11	4
done	11	1

end0.0ms

sample8.5s

Algorithm

intervals

Results

3.8s	1813×	body	2560	valid
2.7s	2198×	body	1280	valid
902.0ms	1210×	body	640	valid
276.0ms	559×	body	320	valid
230.0ms	1940×	body	80	valid
168.0ms	47×	body	5120	valid
58.0ms	233×	body	160	valid