Details

sample232.0ms

Algorithm

intervals

Results

83.0ms	67×	body	1280	valid
79.0ms	63×	body	2560	valid
18.0ms	40×	body	640	valid
9.0ms	3×	body	5120	valid
6.0ms	57×	body	80	valid
6.0ms	17×	body	320	valid
2.0ms	9×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	234	25
4	507	25
5	910	25
6	1243	25
7	1453	25
8	1551	25
9	1742	25
10	1778	25
done	1778	25

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.8b

localize35.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
34.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite118.0ms

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:

66.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series224.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
55.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
47.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
59.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.9s

Counts

74 → 74

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	146	980
1	397	886
2	2722	754
done	5001	746

prune486.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 43.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
38.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

26.0ms	(* (+ (* y 2.0) 1.0) z)
9.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
52.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
6.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series204.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* y 2.0) 1.0) z)
77.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	126	1149
1	306	1040
2	1868	892
done	5001	886

prune574.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 41.0b

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

prune159.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 41.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.1b	(* (* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t))) (cbrt t))
1.8b	(* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t)))
37.8b	(cos (/ (* (* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

2.0ms	(cbrt t)
126.0ms	(* (* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t))) (cbrt t))
36.0ms	(* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t)))
4.0ms	(cos (/ (* (* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series718.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt t)
111.0ms	(* (* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t))) (cbrt t))
229.0ms	(* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t)))
84.0ms	(cos (/ (* (* (* z (fma 2.0 y 1.0)) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	133	1469
1	351	1428
2	2013	1024
done	5000	831

prune430.0ms

Pruning

42 alts after pruning (40 fresh and 2 done)

Merged error: 40.5b

regimes3.9s

Accuracy

0% (4.5b remaining)

Error of 44.3b against oracle of 39.7b and baseline of 44.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	11
1	10	5
2	15	1
done	15	1

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.2s	2263×	body	1280	valid
3.0s	1828×	body	2560	valid
778.0ms	1209×	body	640	valid
497.0ms	1868×	body	80	valid
214.0ms	523×	body	320	valid
162.0ms	46×	body	5120	valid
63.0ms	263×	body	160	valid