Details

sample162.0ms

Algorithm

intervals

Results

64.0ms	56×	body	2560	valid
51.0ms	86×	body	1280	valid
11.0ms	30×	body	640	valid
5.0ms	57×	body	80	valid
4.0ms	2×	body	5120	valid
4.0ms	17×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.9s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.7b

localize23.0ms

Local error

Found 4 expressions with local error:

2.4b	(* t (* (fma y 2.0 1.0) z))
2.9b	(* (* (fma a 2.0 1.0) b) t)
35.3b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
36.8b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite16.0ms

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

series154.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* t (* (fma y 2.0 1.0) z))
43.0ms	(* (* (fma a 2.0 1.0) b) t)
38.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
26.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	118	846
1	261	834
2	966	694
3	4067	678
done	5000	678

prune402.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 42.6b

localize20.0ms

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)))
2.4b	(* t (* (fma y 2.0 1.0) z))
36.8b	(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))
2.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series179.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (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))
26.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.6s

Counts

81 → 81

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	114	1008
1	239	992
2	775	832
3	3580	832
done	5001	832

prune438.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 40.6b

localize4.0ms

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

prune144.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 40.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
3.3b	(* (fma y 2.0 1.0) (* t z))
36.9b	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

rewrite11.0ms

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))

series154.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
44.0ms	(* (fma y 2.0 1.0) (* t z))
38.0ms	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

simplify3.2s

Counts

58 → 58

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	96	878
1	211	794
2	699	664
3	2963	664
done	5000	664

prune184.0ms

Pruning

35 alts after pruning (33 fresh and 2 done)

Merged error: 40.6b

regimes1.0s

Accuracy

0% (4.3b remaining)

Error of 44.6b against oracle of 40.3b and baseline of 44.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.0s	1875×	body	2560	valid
1.3s	2264×	body	1280	valid
431.0ms	1183×	body	640	valid
162.0ms	563×	body	320	valid
148.0ms	1831×	body	80	valid
81.0ms	32×	body	5120	valid
43.0ms	252×	body	160	valid