Details

sample379.0ms

Algorithm

intervals

Results

135.0ms	71×	body	1280	valid
127.0ms	59×	body	2560	valid
29.0ms	33×	body	640	valid
19.0ms	69×	body	80	valid
9.0ms	16×	body	320	valid
5.0ms	1×	body	5120	valid
3.0ms	7×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (10.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize49.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
33.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
66.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series244.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
65.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
61.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
50.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	146	980
1	382	886
2	1614	738
done	5001	730

prune609.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 39.8b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
33.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

3 → 51

Calls

3 calls:

36.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
82.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series252.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
65.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
63.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify3.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	115	1037
1	294	871
2	962	679
3	3541	671
done	5002	671

prune426.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 38.5b

localize6.0ms

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

prune137.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 38.5b

localize24.0ms

Local error

Found 4 expressions with local error:

19.3b	(cbrt (* (fma 2.0 a 1.0) (* b t)))
19.3b	(cbrt (* (fma 2.0 a 1.0) (* b t)))
19.3b	(cbrt (* (fma 2.0 a 1.0) (* b t)))
33.3b	(cos (/ (* (* (cbrt (* (fma 2.0 a 1.0) (* b t))) (cbrt (* (fma 2.0 a 1.0) (* b t)))) (cbrt (* (fma 2.0 a 1.0) (* b t)))) 16.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`

Counts

4 → 42

Calls

4 calls:

12.0ms	(cbrt (* (fma 2.0 a 1.0) (* b t)))
13.0ms	(cbrt (* (fma 2.0 a 1.0) (* b t)))
18.0ms	(cbrt (* (fma 2.0 a 1.0) (* b t)))
4.0ms	(cos (/ (* (* (cbrt (* (fma 2.0 a 1.0) (* b t))) (cbrt (* (fma 2.0 a 1.0) (* b t)))) (cbrt (* (fma 2.0 a 1.0) (* b t)))) 16.0))

series683.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (* (fma 2.0 a 1.0) (* b t)))
231.0ms	(cbrt (* (fma 2.0 a 1.0) (* b t)))
218.0ms	(cbrt (* (fma 2.0 a 1.0) (* b t)))
61.0ms	(cos (/ (* (* (cbrt (* (fma 2.0 a 1.0) (* b t))) (cbrt (* (fma 2.0 a 1.0) (* b t)))) (cbrt (* (fma 2.0 a 1.0) (* b t)))) 16.0))

simplify1.3s

Counts

54 → 54

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	101	1373
1	209	1337
2	539	1021
3	1541	808
done	5001	712

prune476.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 38.2b

regimes3.3s

Accuracy

0% (4.6b remaining)

Error of 44.7b against oracle of 40.2b and baseline of 44.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	11
1	10	5
2	11	1
done	11	1

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.4s	1884×	body	2560	valid
2.5s	2245×	body	1280	valid
910.0ms	1815×	body	80	valid
818.0ms	1200×	body	640	valid
601.0ms	556×	body	320	valid
198.0ms	50×	body	5120	valid
68.0ms	250×	body	160	valid