Details

sample171.0ms

Algorithm

intervals

Results

126.0ms

507×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
4	2295
3	723
2	217
1	67
0	28

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* x 4.0) i)
5.6b	(* (* (* (* x 18.0) y) z) t)
6.1b	(* (* (* x 18.0) y) z)

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
22.0ms	(* (* x 4.0) i)
197.0ms	(* (* (* (* x 18.0) y) z) t)
89.0ms	(* (* (* x 18.0) y) z)

series224.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
52.0ms	(* (* x 4.0) i)
85.0ms	(* (* (* (* x 18.0) y) z) t)
50.0ms	(* (* (* x 18.0) y) z)

simplify5.8s

Counts

105 → 105

Iterations

Iter	Nodes
3	8059
2	1484
1	373
0	145

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y x) 18.0)
0.2b	(* (* x 4.0) i)
5.6b	(* (* (* (* y x) 18.0) z) t)
6.1b	(* (* (* y x) 18.0) z)

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

20.0ms	(* (* y x) 18.0)
27.0ms	(* (* x 4.0) i)
189.0ms	(* (* (* (* y x) 18.0) z) t)
43.0ms	(* (* (* y x) 18.0) z)

series223.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* y x) 18.0)
29.0ms	(* (* x 4.0) i)
102.0ms	(* (* (* (* y x) 18.0) z) t)
56.0ms	(* (* (* y x) 18.0) z)

simplify5.4s

Counts

105 → 105

Iterations

Iter	Nodes
3	7615
2	1403
1	373
0	145

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize85.0ms

Local error

Found 4 expressions with local error:

6.1b	(* (* (* y x) 18.0) z)
16.0b	(cbrt (* (* (* y x) 18.0) z))
16.0b	(cbrt (* (* (* y x) 18.0) z))
16.0b	(cbrt (* (* (* y x) 18.0) z))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

71.0ms	(* (* (* y x) 18.0) z)
47.0ms	(cbrt (* (* (* y x) 18.0) z))
57.0ms	(cbrt (* (* (* y x) 18.0) z))
51.0ms	(cbrt (* (* (* y x) 18.0) z))

series512.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (* y x) 18.0) z)
164.0ms	(cbrt (* (* (* y x) 18.0) z))
164.0ms	(cbrt (* (* (* y x) 18.0) z))
141.0ms	(cbrt (* (* (* y x) 18.0) z))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
3	3529
2	798
1	248
0	101

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 27.0 (* k j) (* (* x 4.0) i))
0.2b	(* (* x 4.0) i)
2.7b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
3.9b	(* (* y z) (* x 18.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative` `fma-udef`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
27.0ms	(* (* x 4.0) i)
0.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
31.0ms	(* (* y z) (* x 18.0))

series4.1s

Counts

4 → 12

Calls

4 calls:

97.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
22.0ms	(* (* x 4.0) i)
4.0s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
44.0ms	(* (* y z) (* x 18.0))

simplify2.2s

Counts

80 → 80

Iterations

Iter	Nodes
3	4610
2	1102
1	306
0	133

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.3b

regimes1.9s

Accuracy

6.7% (4.1b remaining)

Error of 4.9b against oracle of 0.8b and baseline of 5.2b

bsearch260.0ms

Steps

Iters	Range		Point
10	9.220477868455533e-110	9.205635709760889e-97	2.446814143058209e-97

simplify23.0ms

Iterations

Iter	Nodes
2	53
1	53
0	39

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.9s

16239×

body

valid