Details

sample170.0ms

Algorithm

intervals

Results

68.0ms	60×	body	2560	valid
49.0ms	79×	body	1280	valid
12.0ms	30×	body	640	valid
7.0ms	11×	body	320	valid
6.0ms	67×	body	80	valid
3.0ms	1×	body	5120	valid
2.0ms	8×	body	160	valid

simplify2.1s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize26.0ms

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))

rewrite18.0ms

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

series176.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* t (* (fma y 2.0 1.0) z))
52.0ms	(* (* (fma a 2.0 1.0) b) t)
29.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))
46.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	118	846
1	261	834
2	963	694
3	4108	678
done	5000	678

prune446.0ms

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))

rewrite20.0ms

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)
4.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
6.0ms	(* t (* (fma y 2.0 1.0) z))
2.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series198.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (fma y 2.0 1.0) z)
77.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
49.0ms	(* t (* (fma y 2.0 1.0) z))
29.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.3s

Counts

81 → 81

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	114	1008
1	239	992
2	775	832
3	3575	832
done	5000	832

prune457.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 38.6b

localize3.0ms

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

prune155.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 38.6b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
1.2b	(* (fma y 2.0 1.0) (* t z))
33.9b	(cos (/ (* 1 (* (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 (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
6.0ms	(* (fma y 2.0 1.0) (* t z))
2.0ms	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
54.0ms	(* (fma y 2.0 1.0) (* t z))
41.0ms	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

simplify3.0s

Counts

58 → 58

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	96	878
1	211	794
2	697	664
3	2922	664
done	5000	664

prune205.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 38.5b

regimes1.2s

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: 1 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	8	1
done	8	1

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	1857×	body	2560	valid
1.5s	2246×	body	1280	valid
470.0ms	1139×	body	640	valid
184.0ms	1919×	body	80	valid
172.0ms	580×	body	320	valid
103.0ms	38×	body	5120	valid
48.0ms	221×	body	160	valid